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/vqc/ - Virtual Quantum Computer

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1ad7bf No.11618 [Last50 Posts]

The virtual quantum computer (VQC) is a grid made of constructably infinite elements that follow a known pattern. It is indexed using e, n, and t, where e is the column, n is the row, and t is the specific element in the cell.

The grid in its entirety serves as the superposition. The required input parameters to collapse the superposition are d and e, which are trivial to calculate for all c that is the difference of two squares. When the integers that are the difference of two squares are arranged into the grid and their corresponding properties are shown, a pattern emerges that shows a path to calculate the factors of c instead of searching for them. It can be understood using only the basic operations of arithmetic and sqrt. All currently-known patterns can be found within one thread here >>6506

C# VQC generator - pastebin.com/XFtcAcrz

Java VQC generator - pastebin.com/2MPYrJVe

Python VQC generator - pastebin.com/NZkjtnZL

Glossary

Look-up

A pattern used to calculate the factors of c, like a value look-up table.

Column

All cells for a given e

Row

All cells for a given n

Cell

All entries for a given e,n (not to be confused with an entry itself.)

Entry; record; element

A set of variables corresponding to a factorization for a given c. The legend to read entries is {e:n:d:x:a:b} (e, n, t) = c

Example: {1:5:12:7:5:29} (1, 5, 4) = 145

ab record; nontrivial factorization

The element that contains the factorization of c that is not 1*c, hence, nontrivial.

1c record; trivial factorization

The element generated from setting a=1 and b=c

Mirror element

The element in -f corresponding to an element in e, in the context of a given c.

Variables

a and b are, to reiterate, the factors of c. a is the smaller factor of c, and b is the larger one.

d is the integer square root of c.

e is the remainder of taking the integer square root of c. Unless c is a perfect square, a remainder will be left over.

i is the root of the large square. It is equal to (d+n).

j is the root of the small square. it is equal to (x+n).

n is what you add to d to be exactly halfway between a and b, and it is the root of the large square, so it takes you from d to the large square.

x is what you add to a to make d. When added to n it makes the root of the small square.

f is what you add to c to make a square. (e is what you subtract from c to make the square below it, f adds to make the square above c.)

t is the third coordinate in the VQC, it is a function of x.

q is a product created by multiplying successive primes until the product is above d.

u is the triangle base of (x+n)^2. 8 times the triangle number of u plus one is (x+n)^2 for c with odd x+n.

ab = c

dd + e = c

(d + n)(d + n)-(x + n)(x + n) = c

a + 2x + 2n = b

a = d - x

d = a + x

d = floor_sqrt(c)

e = c - (dd)

b = c / a

n = ((a + b) / 2) - d

d + n = i

x = d - a

x = (floor_sqrt(( (d+n)*(d+n) - c))) - n

x + n = j

j^2 = 8*T(u) + 1

f = e - 2d + 1

u = (x+n) / 2

if (e is even) t = (x + 2) / 2

if (e is odd) t = (x + 1) / 2

Past threads

RSA #0 - archive.fo/XmD7P

RSA #1 - archive.fo/RgVko

RSA #2 - archive.fo/fyzAu

RSA #3 - archive.fo/uEgOb

RSA #4 - archive.fo/eihrQ

RSA #5 - archive.fo/Lr9fP

RSA #6 - archive.fo/ykKYN

RSA #7 - archive.fo/v3aKD

RSA #8 - archive.fo/geYFp

RSA #9 - archive.fo/jog81

RSA #10 - archive.fo/xYpoQ

RSA #11 - archive.fo/ccZXU

RSA #12 - archive.fo/VqFge

RSA #13 - archive.fo/Fblcs

RSA #14 - archive.fo/HfxnM

RSA #15 - archive.vn/59GwR

RSA #16 - archive.vn/F49fw

RSA #17 - archive.vn/u2Tu6

RSA #18 - archive.is/FDVP9

____________________________
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1ad7bf No.11620

Thread OP text is here, since I seem to have forgotten where I put it last time and had to reformat it again https://pastebin.com/3MPd1p0r

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824635 No.11641

File: aa48a19b2bcfeee⋯.png (124.9 KB,1550x844,775:422,Screen_Shot_2020_11_10_01.png)

File: ac06802cb6173ef⋯.png (60.44 KB,1100x768,275:192,ac06802cb6173efc2f8605a94a….png)

File: ec07001c5cdac49⋯.png (46.22 KB,1200x710,120:71,ec07001c5cdac49e68c7079fa5….png)

File: d3d1955cc021824⋯.png (124.6 KB,1641x1646,1641:1646,d3d1955cc0218240b3ce698eb4….png)

File: 343d522b60d7374⋯.png (65.18 KB,2443x830,2443:830,343d522b60d73741b0f8481f0a….png)

Hello Anons. Thanks AA for the fresh Bread! Here's some key ideas we can think on.

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6a2de9 No.11730

>>11620

ty for the fresh bread BO, a '''Prime Bread #".

A finalFresh Linkat the end of PB may bave been more helpful than a bleep / boop, but no worries (unless you can delete and edit?, recognize you dropped link a few posts back..)

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4e2913 No.11731

>>11730

This is true and I didn't think of that, but surely given the size of the board and the fact that every current thread is stickied it isn't exactly difficult to find the new one.

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6a2de9 No.11732

>>11731

11731 is prime AA, a Prime Post.

If possible to delete and add, would make it clean, but either way you are board captain and we sail on!

It may take a while for others to realize there's been some activity on the board, likely aren't checking on a daily basis.

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4e2913 No.11733

>>11732

Just left a message on Discord about it. I'll edit that post last thread in a sec.

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dd9f24 No.11734

Thanks for baking, AA.

Following along.

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6a2de9 No.11735

>>11734

Good to read you PMA, hope all is well. Any observations / thoughts from your following along? Any others aware of activity?

Will review the theta pieces from PB then need to peel off:

>>11711 (LB)

Also, related to patterns in the f value, for RSA100, f%8 = 6

We can then subtract 6 from f, and divide by 8 to get:

2102837454373724665890386895636616552526499878985

The remainder is perhaps all we need, to know that (n-1) is odd and d is even.

From RSA#11:

>>5592 (PB RSA#11, VQC)

>The remainder of f when divided by 8 is a key to what values of d and (n-1) can be used.

>>5603 (PB)

Actually this

>If f%8 = 0, then:

(n-1) is an even number.

d is even

>If f%8 = 1, then:

(n-1) is divisible by 4.

d is odd

>If f%8 = 2, then:

(n-1) is an odd number.

d is even

>If f%8 = 3, then:

(n-1) is odd

(n-1) is prime (or 9 ?)

d is odd

>If f%8 = 4, then:

(n-1) is even

d is even

>If f%8 = 5, then:

(n-1) % 4 = 2

d is odd

>If f%8 = 6, then:

(n-1) is odd

d is even

>If f%8 = 7, then:

(n-1) is odd

d is odd

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e4e1aa No.11736

Last thing today (after work tomorrow, will go through questions arising as best I can).

f-1, and two d are unique to every c.

Also (SO important) If YOU are creating c, the product of two large primes, you create two primes near each other, not too near. That's it. You then multiply them for the modulos or private key. No one thinks what value of d+n, or x etc and how utter insecurity is being chosen at thr other end.

The square d of c in this case leaves a MASSIVE signature in EVERY case. The signature gets bigger the larger the product. This self limits encryption immediately.

Prime a, it is near d (since a and b are chosen of similar length). a has no factors, none. Also, d has very few factors except two if its even. Why?

We force x is to be HUGELY smooth (the key point of the general number field sieve). We dont choose x, it is forced to be hugely smooth (smooth=made up mostly of very small prime factors). Two related reasons. Because a is prime, and a+x=d, x and d cannot both be smooth. By choosing a massive prime number, no number added for an order of magnitude to a, produces any multiple of a. The square root is d, add x to a to make d. You only choose a, one of the most unique numbers available at that size. We know d wont have many factors, no matter what is added to a.

Curious, this next is.

We now know almost any random number added to a huge prime is not very divisible. HOWEVER, the tradeoff. We DO KNOW the difference between a and d, which is x, is divisible as fuck (maths term).

How do we know? The difference of two not very divisible numbers is smooth af, esp when one is a huge prime. Any difference between that prime and any number is likely smooth.

This (simple) way for creating smooth numbers would massively improve the general number field sieve. Its not used (yet). And no point polishing your knobs.

Our Solution.

In one direction you turn sets of x to sets of n. In the other direction you do vice versa.

Your other half does this too….

We have equations for e+/- x and f and x+1. And for n-1 on the other side. Do we have enough to construct the ratio from first principles?

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07f452 No.11737

File: c8c08d9c11f4726⋯.jpg (658.7 KB,1192x1738,596:869,778eb0f9366d1a558619acb816….jpg)

>>11691

>The people who have been in this thread would be in charge of everything, should it be worth their while, except liability, this will be at the service gate.

kek, I could do that.

"Thank you for calling! I hear you need an overly honest motherfucker to handle some shit for ya. Let's get you where you need to be!"

-----

Speaking of Truth:

BY THE POWER OF JAMES O'KEEFE III, I HEREBY BLESS THIS BREAD!

¡AMEME!

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6a2de9 No.11738

File: 9ca816a4221231b⋯.png (64.76 KB,1011x672,337:224,xpn_squares_VA_cr.png)

>>11736

Welcome to this Prime Bread.

#SmoothAF

>>11726 (PB)

>We are focusing on the square of x+n without the corner square of n.

>This is: x(x+2n)

For RSA100

xpnsq_minnsq = x * (x+ (2 * n))

=1122823864200598996062147646839702937056066994795886734221136216892598139957727146446500879034665

(1.1228238…e+96)

Looking to go back to our 8(T) breakdown (see VA's diagram attached).

xpnsq_minnsq_mod8=xpnsq_minnsq%8 = 1

So we have our center square "unit".

Also, n%8 = 0

Is it helpful to look at n0 as being at the center? With the 8 triangles around it?

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6a2de9 No.11740

>>11738

Kek, linked to the "Stench Trench" post, meant >>11719 (PB).

Just thinking through why described as "corner n" vs in the center of the x+n square. Also looking back at the n0 estimate.

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6a2de9 No.11741

>>11738

Keeping in mind, that for RSA100, x is odd and n is even, so (x+n) is odd (and d is even):

>>4219 (PB #10 VQC)

>Part 3 a - Odd (x+n) - Overview

>(x+n)(x+n) = nn + 2d(n-1) + f - 1

>What does this look like?

>(x+n)(x+n) is odd

>All odd squares = 1 + 8T

>All odd square = 1 + the product of 8 triangles that are the same.

>Visualise.

>2d(n-1)

>Why is (n-1) important?

>>4285 (PB, Teach)

>(x+n)(x+n) = nn + 2d(n-1) + f - 1

>Using distributive property, (x+n)(x+n)= xx + xn + xn + nn

>So for this portion: 2d(n-1) + f - 1 = 2xn + xx

Looking at the Theta piece.

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e4e1aa No.11742

If you use, for example, 4c where c is RSA100, the same identities hold for c plus you get new ones.

4c means 4(x+n)(x+n) so all the c values hold AND the ratios, plus you get new f, n, x and 4d for two sides.

As you go to 9c, then 16 c, a new telling pattern emerges. These are not and never were integers once we took a smooth sided square from a less smooth square. How do we know this happened? We chose, we played God. Not one rare number but two. We forced two very, very unlikely events together, the product of two primes, close, not too close.

Choose a huge number at random. Make it a square. Close to one end, take a small square away so you leave a side that is huge yet not divisible by any other below it. The probability of choosing one at random is 1/ln d. x is immediately forced to be smooth AS WELL AS one next to it, with the other neighbour being the opposite to its siblings in the triplet.

We force giveaway properties and we discover integers can reveal irrational dimensions WITHIN our integer choices when using large primes.

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6a2de9 No.11743

>>11742

>We chose, we played God.

Calling on a Higher Power

Seeking (knocking).

Get some rest.

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6a2de9 No.11745

File: 4e0752ba0c64dc8⋯.png (429.29 KB,781x785,781:785,VA_11467.png)

### NEW Test & Working Parameters for c; 12/16@1212

### In addition to RSA100, 4RSA100, 9RSA100, 16RSA100, RSA110, RSA2048..

qCC = 11557 ### 7 * 13 * 127

MREVA_c = 134358839

MREVA_a = 11717

AAVA_c = 134519377

AAVA_a = 11731

MMVA_c = 134656981

MMVA_a = 11743

MREMM_c = 137592731

MREMM_a = 11717

### b value in timestamp here: >>11744 (OB)

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07f452 No.11746

YouTube embed. Click thumbnail to play.

Ooh la laaaa…

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07f452 No.11747

>>11746

^^^ sorry:

Veritas Obtains Recording Of Call Between Wikileaks Julian Assange & Lawyer In Clinton's State Dept

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707b33 No.11748

I'll come back and read.

Just finished for today, in a call shortly for two to fours hours to observe the execution of an implementation. All problems so far appear to be due to lack of technical oversight.

I love a business with truly amazing people where from day one, you can identify a gap where you can add value to everyone's day.

What happens to the ratios and all are numbers under "watch when I add 2 to a?

What happens add two to just b?

How about both? All easy to calc from RSA100.

What about subtracting for the same three cases?

Proof by induction?

Does it give away a pattern?

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707b33 No.11749

One more thing for S&Gs.

The meaning of life is so obvious when stated that it then covers Darwin to God.

The meaning of life is simple…

"To help the young thrive."

Perfect. Once I knew it wasnt about me, it was a relief.

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5146ea No.11750

>>11748

>How about both?

That's two movements with (e+2n,n) but that's the only one of these I know without testing etc.

>Does it give away a pattern?

From my outside perspective you're pretty all over the place with these what ifs, so not at the moment it doesn't.

>>11749

I have a few non-math questions for you, is that alright?

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07f452 No.11751

>>11750

kek, you might as well just ask 'em.

They'll respond or they won't.

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5146ea No.11752

>>11751

It's been "they won't" every time I've posted so far, that's why I'm trying this now.

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07f452 No.11753

>>11752

Meh. Post the questions anyway.

Maybe it'll come up later.

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707b33 No.11754

>>11752

Do it.

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707b33 No.11755

>>11752

Doooo it

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5146ea No.11756

>>11754

>>11755

Okay well firstly I asked a few things in the last thread and bumped it several times and you missed each one so I'll just link the last one >>11708

I have a few more questions that I think are important to our productivity as a group but I'll post them afterwards

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707b33 No.11757

If we add two to a… we have (a+2)b.

a has two added

d has a one added

n is not changed

x is one lower

e is bigger

f is smaller

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707b33 No.11758

>>11708

>>11708

>>11708

"Hatred" was self deprecating projection. It was endearment, not the opposite.

Jacinda Christchurch.

Math:if I multiply the golden ration by the number 100000 and only deal in integers, and then starting again used the same ratio on 1,000. Understand it?

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5146ea No.11759

>>11758

Thanks for answering. I think I kinda get the k thing. Two more non-maths questions, although if you do continue posting about numbers in the meantime I'll try to follow along.

You've stopped using a trip and as a result it's very easy for people to go anonymous and pretend to be you to disrupt the board. It's happened several times. It wouldn't happen if you would start using a trip again and also if you continued to use it, but last time I asked why you weren't using a trip, despite having provided ample reason for you to use one, you just said "where we're going we don't need trips" and didn't answer any other questions about it. It would really help all of us, including yourself, if you would start using a trip again. What the deal with this?

I have one other question about meta stuff but I'll keep this to one question per post so it's less of a cluster of questions all at once.

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dbf184 No.11760

Hello Anons, just finished catching up!

Great to see you pumping out work and ideas, MM.

Glad to see you back Senpai!

I'll have time to work later. My immediate thought on the ratios is this:

xx+e=2na for row 1 (a) values

The growth of (a) in (e,1) or (-f,1) for any given c should somehow contain the ratio being discussed. Since it's related to e, 2d, f, etc.

Be back, thinking over all the new ideas. Good to engage the brain with you all!

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6a2de9 No.11761

>>11759

>>11758

>"Hatred" was self deprecating projection. It was endearment, not the opposite.

Time to get your inner Farey on AA. Not being im-Polite at all, nor Deficient, just Practical. Ok, will go back to drawing Sierpinski triangles..

>Thanks for answering. I think I kinda get the k thing.

Go on..

>>11758

>only deal in integers

And fractions, continued..

In looking at some of the smaller examples, can see why for years now, it's been suggested to work at a larger scale.

But on the topic, will share a decimal example from our 6107 friend (not to ignore 1167).

6107: {23:36:78} {47:31:197}

Apart from the significant variation with the approximation ratios compared to larger numbers, this popped out:

x/n ratio: 1.305555..

but the 2d/x ratio = 3.31915 is actually: 3 15/47

And what is the denominator 47? 'x'

Also to be found at the t(24) position in n=1, 36 steps away from… Coincidence?

>>11760

>The growth of ..

yessss..

Be back for a bit after a byte.

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dbf184 No.11762

>>11736

>We force x is to be HUGELY smooth (the key point of the general number field sieve). We dont choose x, it is forced to be hugely smooth (smooth=made up mostly of very small prime factors). Two related reasons. Because a is prime, and a+x=d, x and d cannot both be smooth. By choosing a massive prime number, no number added for an order of magnitude to a, produces any multiple of a. The square root is d, add x to a to make d. You only choose a, one of the most unique numbers available at that size. We know d wont have many factors, no matter what is added to a.

Here's a curious combination idea based on many of the concepts we've worked on as a team.

Just having fun brainstorming over here.

The ideas here come from the c'= q * c explorations we worked on.

It also combines the binary search ideas AA and I have worked on.

if x is massively smooth (made up of mostly small prime factors)

and d - x = a

Then use small primes to iterate/build x. (in the same way that q is built)

Subtract each iteration of x from d, building a table of potential (a) values, with x<d

Complexity and size stays low since we're multiplying increasing small primes (like we did with c' = qc)

For RSA 100, I think we'd end up with <1000 entries for the table (?) IDK on this part.

Not too big anyhow relative to c.

Check each potential (a) value in the table using the binary method AA and I worked on.

Except it would run a bit differently.

It would start at the right hand bit and work left, building each (a) value looking for a match.

We would not have a BigN match to start with, only the idea that primes appear in binary as a tag.

The prime should appear in binary only when the potential (a) value is odd.

Even (a) values can be eliminated from the table.

The binary method runs for each bit of each entry, testing for a match for (a prime).

Maybe the (a prime) value appears more than once in the table?

So for planning and working, here's a few helpful numbers:

RSA100 d

39020571855401265512289573339484371018905006900194

RSA100 x

1045343918457591589480700584038743164339470261995

RSA100 a

37975227936943673922808872755445627854565536638199

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d8a212 No.11763

>>11641

Hopefully I can post now.

VA, special thanks for your service.

I'm still on calls with new client for the second night in a row, (started the day 16 hours ago.

VA, thank you for everything you do.

Thank you AA for the new bread.

And so, if two is added to a, x is decreased by one (usually).

This means adding two b to c.

n doesn't change in this instance for n and rsa100.

fm1 decreases by roughly 2x+4n (d is 2a + 2x, 2b is 2a + 4x + 4n)

2d increases by 1

fm1 decreases (for rsa 100 and any other numbers not reaching a limit)

The ratio for 2d%x increases by 76 (74 x values got smaller by one, d increased by 1, there are two of them, equal 76)

This is the important one. The change in ratios. You can have all the theories you want or need and without having examples of rates of change, you cannot test.

We know the ratio is almost unchanged if two is added to a. First reaction is look at what has changed much and what hasn't much.

f and e have changed by multiples of x+2n, and in an enviroment where that's one of moduli, the fact that f and e are changing the most, well, treat every new piece of interest with caution.

There is a ratio of things we know. At first I thought it might be one of those ones that bounce round values (orbit) until they settle on the right value (hint).

I started with something like…

Next = This - (d-this)/2 (in my first example it was fm1 for "this"). Something like Lorentz would have done later.

You know I'm getting ready to drop the bomb.

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3abc5c No.11764

>>11747

Assange and Soros and Clinton?

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3abc5c No.11765

>>11762

This is very clever.

Remember the clever steps.

It was hard to construct (x+n)(x+n) from e and d, then we knew it was f.

Then taking care of the n square in the corner was the WORST.

Then with moduli x and (x+2n) we removed the need for the corner n square without removing it's function as a check.

Then we discovered the self similarity of 2d to x and x+2n and nm1. This was MASSIVE because we had gain of function where we could a set of x and make it n with f or vice versa AND we could take a different set of x and make it n with x and vice versa.

What is it? It is not as complicated as it sounds and it looks a bit like a Lorentz transformation from physics.

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000000 No.11766

Love the energy here! I'll read over the last posts of #18 and this one later, but again, nice to see some activity!

>>11618

Much love AA! You've been our ball buster and I have always loved you for it!

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8a6b6f No.11767

>>11763

Hello

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3abc5c No.11768

>>11760

>>11761

>>11759

>>11753

You'll do it. It is as inevitable as the second term.

And you'll have earned it.

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3abc5c No.11769

Thank you. The mask comes off soon.

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000000 No.11770

>>11764

>>11765

>>11768

Need to put this under some scrutiny, but this looks like a lions roar to me.

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8a6b6f No.11771

>>11769

I have three other questions that I think would be useful for our productivity, if you wouldn't mind answering the thing I posted above about using a trip and then we can get it all out of the way.

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07f452 No.11772

File: e4307305df9a2d0⋯.jpg (238.72 KB,681x880,681:880,da7467bfe39ff68ace779cf70e….jpg)

>>11764

This is the when and why Assange called the Clinton folks.

It wasn't an ultimatum.

It as a, "HEY! This is out of our control… heads up!"

Question then becomes… that guy they named… under whose control was he?

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07f452 No.11773

YouTube embed. Click thumbnail to play.

Is the VQC a 0 Player Game?

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6a2de9 No.11774

File: 26903ae6e14a54d⋯.png (49.61 KB,1248x253,1248:253,rsa100_ab_plusminus2.png)

>>11757

>>11763

>>11763

>2d increases by 1

2d by 2?

Chart shows changes for 1d.

e & f the percentage change (3.51% for e when aPlus2)

>>11693 (PB)

5:5 tadah

>>11745

Ignore, the a's and b's are so close, they're all in e1 row.

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e1d846 No.11775

>>11763

>>11764

>>11765

Hey Math(s) Bossman.

Love this quest and you.

Thank You for your special service.

Still here, still working.

Thanks for saying Thanks!!

I am a joke to my family and friends.

For Q and VQC.

Thanks a lot, and fuck them.

Thanks for acknowledging my service. It has cost me a lot personally.

As a Hero's Quest should.

Nothing is Free.

Let's keep unwrapping ideas.

I'll get to work on these:

>>11763

>>11765

Thanks for showing up. Maybe the timeline is right now, we appreciate your encouragement!

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e1d846 No.11776

>>11775

Sorry for venting so hard Anons.

The proper statement is this:

"Everything Is Free"

Just find P=NP

That's our Quest.

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6a2de9 No.11777

File: ede9e0b8fddf928⋯.png (228.53 KB,498x373,498:373,goldleader.png)

File: 5393591f66e7d5c⋯.png (24.09 KB,97x1311,97:1311,ClipboardImage.png)

File: cb8b0fd29997449⋯.png (9.11 KB,404x112,101:28,ClipboardImage.png)

>>11776

>>11775

With you VA, hang in there Gold Leader.

>>11734

>>11750

PMA or AA (or anyone else that may have the logic):

Do you have a formula / method to find the initial 'x' value for t=1 in the 'f' columns where n=1?

GRID (f @ n=1): {f : n : d : x : a : b : c : I : j}

{-1:1:7:3:4:12:48:8:4}

{-2:1:3:2:1:7:7:4:3}

{-3:1:6:3:3:11:33:7:4}

{-4:1:10:4:6:16:96:11:5}

{-5:1:5:3:2:10:20:6:4}

f x_base

0 2

1 3

2 2

3 3

4 4

5 3

6 4

7 3

8 4

9 5

10 4

11 5

12 6

13 5

14 6

15 5

16 6

17 5

18 6

19 7

20 6

21 7

22 6

23 7

24 8

25 7

26 8

27 7

28 8

29 7

30 8

31 7

32 8

33 9

34 8

35 9

36 8

37 9

38 8

39 9

40 10

41 9

42 10

43 9

44 10

45 9

46 10

47 9

48 10

49 9

50 10

51 11

52 10

53 11

54 10

55 11

56 10

57 11

58 10

59 11

60 12

61 11

62 12

63 11

64 12

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07f452 No.11778

File: a9e803f015b819f⋯.jpg (349.91 KB,949x632,949:632,9b261c6494c35dc009a0b4ad53….jpg)

>>11777

nice digits!

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be4664 No.11779

>>11777 (nice numerals)

>Do you have a formula / method to find the initial 'x' value for t=1 in the 'f' columns where n=1?

Do you mean x=2t-2 or 2t-1? I can't tell if you're having a brain fart or if you meant to explain a different concept. x is always either 0 or 1 where t=1, regardless of n.

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6a2de9 No.11780

File: 019cf519f00114e⋯.png (52.76 KB,841x417,841:417,fgrid_crop.png)

File: 7e92d027b1c66ce⋯.png (84.97 KB,782x620,391:310,egrid_crop.png)

>>11779

ty for the reply AA, and chek'd on your digits as well, 11779 is another Prime Post.

> x is always either 0 or 1 where t=1, regardless of n.

Based on the original VQC grid code, was working to enumerate the patterns. I agree on this for x on the 'e' side of the grid for n=1. That was straightforward (though the 'a' values were trickier to enumerate, but worked those out prior to having GA's simpler formula pulled from his code). As n increases, the starting values for x will increase as well.

Also was able to figure the e0 column completely.

But, just focused on the f side where n=1. Looking at the second pic, a cap of a few grid cells shows the pattern from previous post.

Calling the initial 'x' the "x_base", and yes, then it grows by 2 units per increase in t which is straightforward once the starting base x is established.

Looking at the second pic, for e=5, n=3 record:

{5:3:10:5:5:21}

GA had given a formula for a:

a=(x^2 + e)/(2*n).

This check out for this cell example (5^2+5)/5 = 5, the "x_base" for that cell (the t=1 element).

.

Thoughts?

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6a2de9 No.11781

>>11778 ty. You've really gotten the hang of those deep dream image manipulations.

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be4664 No.11782

>>11780

I think you're talking about finding the first valid x for (f,1), not just the first x in general. Just in case we're not talking about the same thing I'll explain the concept behind what I think you're talking about. t doesn't equal 1 in every first visible element. t is calculated with the formula I posted and has been forever. It isn't t=1,2,3,4,5… for every single cell in the grid. t values get skipped everywhere. The only place where t=1,2,3,4,5… happens is (e,1). In other (e,n) and (f,n) it's never t=1,2,3,4,5, it's more like t=3,7,14,18,25 type patterns. In (f,1), the first valid x increases depending on the size of f. For f=-1 through f=-12, the starting t values are 2,2,2,3,2,3,2,3,3,3,3,4. They're the first visible, valid elements in these cells, but that doesn't mean their t values are 1. Are we talking about the same thing? I seem to remember there being a way to calculate what the first t would be just based purely on knowns for one of these cells (or at least someone tried to figure it out). It might be in the Grid Patterns thread somewhere.

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6a2de9 No.11783

File: b10a84eaeb78f95⋯.png (9.08 KB,101x351,101:351,x_base_n0column.png)

>>11782

You explained that perfectly.

Especially example of:

> it's more like t=3,7,14,18,25 type patterns.

As example scenario where it not only doesn't start indexing at 1, but isn't continuous either.

Was this something we figured out, or was it provided by CC (in earlier days, with a valid trip!)?

This does throw a wrench in current thinking, and much of what I'd done to enumerate.

I can say the n0 column is a bit funky as well, but was able to enumerate the starting 'x_base' values for all n, assuming t=1 for first element in every n, and t always incrementing by 1 for each successive element.

Right now, am playing with something that uses that, chasing down what may have been a clue.

Here's a cap of the starting "x_base" for n0 column, increasing e values. It was validated with a grid that went up to n>2000.

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6a2de9 No.11784

>>11783

> It was validated with a grid that went up to n>2000.

Correction, up to n=265. (Was thinking rows, as there were multiple t for each n. Actually used t=1:25, so just over 6600 total rows (not all elements generated, as some exceed max i in the grid code loop so those cells are truncated early).

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034aa2 No.11785

File: 1d548e24fe9328c⋯.png (239.25 KB,1157x789,1157:789,Screen_Shot_2020_12_21_01.png)

>>11777

Nice Digits MM!

Thanks for the encouragement.

I buckled down and learned enough code to get my simple C# program working! I can finally follow along with you all and calculate RSA100 examples.

Here's my output so far. It includes all the basic variables, and then I got started on the ratios. I used mod x and mod (n-1) to find the remainders, so they are whole integers. How dafuq do I convert them to the cool matching decimal fractions? Feels good to finally be crunching big ass numbers with some basic code.

RSA100 Variables & Calcs

c=

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e=

61218444075812733697456051513875809617598014768503

n

14387588531011964456730684619177102985211280936

d=

39020571855401265512289573339484371018905006900194

x=

1045343918457591589480700584038743164339470261995

a

1045343918457591589480700584038743164339470261995

b

40094690950920881030683735292761468389214899724061

f=

16822699634989797327123095165092932420211999031886

Build (d+n)^2 and (x+n)^2

(d+n)

39034959443932277476746304024103548121890218181130

(d+n)^2

1523728058789437697238697847655707846181163742105495411067265721298937551215904586723474405488076900

(x+n)

1059731506988603553937431268657920267324681542931

(x+n)^2

1123030866904336703079469523070416463095627144114722409357226718814587956951689069474054796070761

Verify c with (d+n)^2-(x+n)^2

(d+n)^2-(x+n)^2 = c

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

check a * b = c

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

Ratio Exploration

2d/x

74

2d mod x

685693744940753403007303460101747876689214412758

(x+2n)/(n-1)

74

(x+2n) mod (n-1)

9437544224730148596091291457991749404258034677

Ratios of known values

2d/e

1

2d mod e

16822699634989797327123095165092932420211999031885

2d/f

4

2d mod f

10750345170843341716086766018597012356962017672844

e/f

3

e mod f

10750345170843341716086766018597012356962017672845

f/e

0

f mod e

16822699634989797327123095165092932420211999031886

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6a2de9 No.11787

>>11785

>How dafuq do I convert them to the cool matching decimal fractions?

Good for you VA.

Not sure best method for C#, but there's this that may be of use:

https://stackoverflow.com/questions/10359372/is-there-a-bigfloat-class-in-c

The answer there may get you to both the decimal and rational forms.

>>11783

>Was this something we figured out, or was it provided by CC (in earlier days, with a valid trip!)?

>>11779

I had that in notes with the formulas, thanks. There was discussion in RSA#14 here (second post being yours):

>>8356, >>8358 (PB)

If it's not too much trouble to determine for e0 if the n cells follow the t=1,2,3,4,5… pattern versus the more "random" t=3,7,14,18,25 pattern, that would be helpful. I know you said (e, 1) only, but hoping perhaps (0, n) column works.

Thought my n0 column was working in code, as described above with the x_base matching the grid output, but just checked output against the grid and there are issues so it may not have been implemented properly (methodology is working in excel). It was a while back and dusting it off, so coming back slowly..

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d5e22c No.11788

File: 188d05566f49a53⋯.png (302.34 KB,500x282,250:141,All_Your_Base_1.png)

Hello Anons. I've got a beautiful big chunk of free time to work this evening.

I'd love to spend it working with you all.

VQC has always encouraged us to work as a team.

Let's get to it, Anons.

Topol and Sheeitbaked, can you please say blessings?

Sheeitbaked, please fire up the AQC and bless our work.

MM you around?

AA you around?

PMA you around?

Teach? (hopefully you're still lurking lol)

5D Anon?

Isee?

Even Jan is welcome (IMHO) if he brings work and new ideas.

Let's bring some new ideas to the table.

Everyone, bring your work in progress to discuss and collaborate on.

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d5e22c No.11789

Let's raise the stakes, Lads,

$200k cash prize for solving this.

https://en.wikipedia.org/wiki/RSA_numbers#RSA-2048

Calcs for d, e, and f are mine.

Please check for accuracy.

Let's get to work.

RSA-2048 c=

25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357

RSA-2048 d=

15873219105039120417448250866106300757935846344480971579572662775357997008074994840278643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807844

RSA-2048 e=

24943949390901314559086911407647914585714989304941991707499366457683225400500519600706115577985727695524080823890532002943893465312816169046556231697018051552258242648312035810536294853601420823376294014177709558002788792535040182795837560995474291629808457101467051000284078801254653722789659986321509056490101380103563714470617244692882005651448372635460177207128747640990360359716268326444560340457818822465695973580080183089801154577153055685206470161899420076208154943348665238647007714095089342669905666884517354400122833485897064098153958317993833609635063079613328500485188782423277886515290863800949716792021

RSA-2048 f= 2d+1-e

2d=

31746438210078240834896501732212601515871692688961943159145325550715994016149989680557286519136202265342804112380042929506838960945633681292337150445257869342811478426954879067740979582077946333668137472468040723329640533975453838906713648276014763971592987242466070225698746094968296678190574284195669615688

2d+1=

31746438210078240834896501732212601515871692688961943159145325550715994016149989680557286519136202265342804112380042929506838960945633681292337150445257869342811478426954879067740979582077946333668137472468040723329640533975453838906713648276014763971592987242466070225698746094968296678190574284195669615689

f = 2d+1-e =

-24943949390901314559086911407647914585714989304941991707499366457683225400500519600706115577985727695524080823890532002943893465312816169046556231697018051552258242648312035810536294853601420823376294014177709558002788792535040182795837560995474291629808457101467051000284078801254653722789659986321509056490069633665353636229782348191149793049932500942771215263969602315439644365700118336764003053938682620200353169467700140160294315616207422003914133011454162206865343464921710359579266734513011396336237529412049313676793192951921610259247244669717818845663470092370862430259490036328309589837100289516754047176332

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d5e22c No.11790

File: 3be6962e6326860⋯.png (217.5 KB,1304x909,1304:909,Screen_Shot_2020_12_23_01.png)

>>11789

PMA says the contest in no longer valid.

Maybe so?

I'm looking at Wikipdeia, and I see lots of unsolved RSA numbers

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d5e22c No.11791

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d5e22c No.11792

I'm back to work on RSA100 now.

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ec2a29 No.11793

>>11792

Sounds good VA. Funny, just woke up 10 mins ago. Fun dreams, lucid. Will share in a bit..

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ec2a29 No.11794

File: a5c54c61998f6a5⋯.png (115.24 KB,1118x859,1118:859,farey_graph.png)

File: 246c4807098062a⋯.png (143.13 KB,1350x282,225:47,na_nb_n_apart.png)

File: bd01f5da4a5d635⋯.png (60.86 KB,658x368,329:184,c145_n1col_crop.png)

File: 72d731a8d93147c⋯.png (100.81 KB,765x573,255:191,c6107_n1col.png)

File: 188fd837441d916⋯.png (15.38 KB,551x109,551:109,c6107_n_apart.png)

>>11792

Going to focus on theta and unpack this post from #18: >>11711 (PB)

Before doing that, the point of post >>11761, apart from alluding to famous formulas involving ONE, smooth numbers and such with AA (see pic one example of a Farey graph), was to go back to the earlier hint about "na and nb for any c an be found n places apart in the cell at (e,1)".

See: >>5819 (PB) for VQC sharing c=145 example. (2nd pic)

(3rd pic has cap of n1 output for 145 in n1.)

So looked at n1 for c=6107, just seeing what patterns may pop out (caps 4 and 5).

Was going to drop this, but just saw something interesting with 145 so going to look at that first.

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ec2a29 No.11795

>>11794

> saw something interesting with 145 so going to look at that first.

Think a consequence of the small numbers for the 145 test case, didn't hold up for 6107.

Moving on, thought this may have been a hint related, likely read into it way too far, but just checking the channels..

>>11693 (PB)

>There's a simple win. Understand what is needed in this event. There are several things straightaway. Then we go… t'da. Simple signal processing across several frequencies its liks the Dawn Chorus.

Thought the t'da could be "t da" related.

Dawn Chorus - d^2, c^2?

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ec2a29 No.11796

>>11789

>Calcs for d, e, and f are mine.

>Please check for accuracy.

Seems a good exercise to validate BigInt precision.

Your c agrees, but getting a different d value (hence e and f will be different):

d =

158732191050391204174482508661063007579358463444809715795726627753579970080749948404278643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807844

A difference of:

142858971945352083757034257794956706821422617100328744216153964978221973072674953564000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Which looks odd as well. Think this may have been done another time in an earlier thread, but perhaps someone else will validate?

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ec2a29 No.11797

>>11789

>>11796

VA - think it may be a copy-pasta issue.

Check if the gap shown here doesn't solve it for you (there would be a "2" missing right after the "404" kek).

dVA=big"158732191050391204174482508661063007579358463444809715795726627753579970080749948404 78643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807844"

..49948404 7864325..

..4994840427864325..

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ec2a29 No.11798

>>11794

>Going to focus on theta and unpack this post from #18: >>11711 (PB)

Working through the notation without benefit of the pics to illustrate.

>>11711

>The pic below shows ..

>(Had to cut the pic)

Image posting issues for the site were short lived on 12/15 - would be helpful if you could come back and post the images.

>shows 2d with all x removed to leave theta x.

Reads like it would be: theta_x=2d%x

but actaully, it's the ratio (the 0.65595 remainder)

There were 3 formulas for remainders:

r1 = 2d/x

r2 = (2n+x)/(n-1))

r3 = (2d/(2n+x))

The 2nd gives the most accurate remainder "theta" for the calculations, and the 3rd gives the proper integer value (72 for RSA100, 85 for RSA110, etc.):

x_calc = (r3_int*(nm1)+theta*(nm1)) -2

The (-2) was mentioned previously.

One other piece of interest:

>>11719

>We are focusing on the square of x+n without the corner square of n.

xpnsqmnsq = (x+n)(x+n)-(n)(n) = x(x+2n)

x*(x+2*n) = fm1 + 2d*(nm1)

Have a good holidays all.

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07f452 No.11799

File: 8f4d4fe6624a903⋯.png (149.02 KB,300x300,1:1,ClipboardImage.png)

Habby Jeebus Day!

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6a2de9 No.11800

File: 6e00d472627fded⋯.png (321.39 KB,636x764,159:191,fermatchristmas.png)

File: 8f1917af76307a0⋯.png (218.51 KB,809x1050,809:1050,4kp1Primes.png)

File: 1273d6364aaaf99⋯.png (310.59 KB,1058x880,529:440,zagier4kp1.png)

File: 82900ad3eb12755⋯.png (550.32 KB,1019x573,1019:573,VQChardwarerequirements.png)

File: a9bd1a041e63f8b⋯.png (240.1 KB,757x564,757:564,merrychristmas.png)

>>11765 ty for the summary, very helpful.

>>11768 Faith, Hope, Love. Faith has been tested, Hope has sustained, and Love is being renewed. Grateful for this quest.

>>11769

No, thank you, it's been quite a journey.

Merry Christmas to ALL!!!

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a2495f No.11801

Kekkin

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6a2de9 No.11802

>>11736

>Last thing today (after work tomorrow, will go through questions arising as best I can).

Good afternoon, if still Q&A time, hoping for clarification regarding "double-theta n-1", in:

>>11711 (PB)

>Would that mean fm1 MUST be divisible by double-theta n-1?

Have the factors for fm1 (5 * 19 * 4488130363987 * 11079829100092583 * 3561013012572873623), but not working as a clean moduli with fm1.

Also, can you clarify that for RSA100, "1-theta" is simply "0.3440496.."?

>>11759

> I think I kinda get the k thing.

Anything to share AA?

>>11749

>One more thing for S&Gs.

>>11801 (Prime Post)

>Kekkin

Glad to S&G's are working for you, enjoy!

spitballing..

>>11754

>Do it.

>>11755

>Doooo it

o to oooo, c to 4c?

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903a8e No.11803

>>11802

>Anything to share AA?

I have IRL stuff taking up my time at the moment so not yet, Chris said a lot last thread that I haven't gone over yet

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6a2de9 No.11804

>>11803

Thanks AA. Have a window now to work on this before IRL takes over as well. Have gone through PB and unpacked as able. If you'd like to collaborate am happy to share.

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6a2de9 No.11805

>>11803

>Chris said a lot last thread that I haven't gone over yet

Indeed. A humble suggestion. Look deeper, with humility and love, at what is being shared. Shed the angst, and be willing to 'c' beyond. You said it very well:

>>11485 (PB)

>the best way to move on from this is to get back to discussing the thing we were distracted from.

So, many examples last thread.

>>11673 (PB)

>And we will be back for circle to the grid and ..

now was this supposed to be "back FULL circle"..

or "FOR" circle as written?

Interesting to note, that current research in Computational Geometry "treat[s] circles and spheres" on the same footing as points, lines and planes.

>>11557 (PB)

> Its a number space that includes the use of the golden and silver ratios and in this case, triangles, the true intermediary between lines and area.

Triangles. Spheres. Hmmm…

The point, is that much of what is written is subtle, and if one doesn't approach with respect, it is completely lost.

How many think DJT is a moran, is stooopid, with silly missspelling of Covfefe and such in twats? Are there others that approach with respect and deference, and find meaning in the content? Could the same apply here, where in a cloud of frustration / angst / weariness / etc, it is lost?

Consider the Stench Trench. What a wonderful and enjoyable post. Just one bit to start:

"MeAgain Markle"

Is that "MeAg.." as in My GOLDen? or is the "A" significant, as inaa? Maybe even calling you out, it is the AA that is highlighted??

Kipper Trench.

Apart from the keks, what does "K", "T" signify? Anything? If it were me that held the keys to 2048 and beyond, then yes, it likely wooood.

Let's keep going with >>11726 (PB)..

"You then 100% commit to Meghan Markle rhyming with Kipper Trench."

rhyming with = congruent with, along the lines of…

"This is squaring "thinking past the sale".

(e.g. starting with the end in mind and working backwards, the key to cracking N=NP).

You plant the negative thought (-f space?). You then associate it with something negative and cause an argument over whether it is true."

That is a JAM PACKED sentence if you're following! (btst >>11678 anyone??)

Ok, back to the unpacking of the Kipper Trench..

"Second order."

Is this derivative? Rate of change? That has been a VERY clear theme with the ratios piece.

"Result: … MeAgain Markle …through random arguments about rhymes,…"

'c' the result??

"Its always about rates of change, however abstract."

It doesn't get any more concrete than that!

>>275

>Those who possessed the ability to see into the future when taking awareness spectrum narcotics were considered prescient. Spacing Guild Navigators were capable of such abilities, as were some members of the Atreides genetic line.

>→ "Future shows past" ~Q

>>710

>All of us are only limited by our belief and our Faith.

>You have what you need.

>Godspeed Anons.

>Love Always.

>>12

>Let's have some fun.

>>17

>The delivery will still take some time as it is important to step through.

>This is for everyone, it is bigger than me.

>The potential of Virtual Quantum Computers and unlocking the potential of P=NP is vast.

>These VQCs exist as mathematical objects.

>Note that these can be thought of as part of aHigher Power, since mathematics is Invariant and pre-dates our existence.

>Others may want to walk this path so I appreciate your patience.

>As long as this space is maintained as free, it would be Good to complete this beginning by Christmas.

Time has come to wrap this up. 5:5.

ps - ty for the squares_2 image in the OP, very helpful reminder!

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5d38db No.11806

>>11797

>>11796

>there would be a "2" missing right after the "404" kek

Thanks MM! I appreciate your help. I'll re-run the calcs for d,e, and f for RSA-2048.

>>11798

>Reads like it would be: theta_x=2d%x

>but actaully, it's the ratio (the 0.65595 remainder)

This is a great post, MM. Thank you, it finally helped me solidify my understanding of the theta x ideas.

>xpnsqmnsq = (x+n)(x+n)-(n)(n) = x(x+2n)

>x*(x+2*n) = fm1 + 2d*(nm1)

I've been brainstorming diagrams for the new theta x ideas.

>>12

>Let's have some fun

Agreed!

MM, thanks for bringing peaceful and well thought out ideas to the board. My mind is working on this even during work and family times. Great to have you back when we're all exhausted, bringing work, ideas, and a positive thoughtful attitude.

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6a2de9 No.11807

>>11806

ty VA. >>11467 think of you at times and send good vibes.

One thing about you, is I respect your Faith. Will never forget your post here:

>>5065 (PB RSA#10)

>..Here's a good video for tonight.

>https:// youtu.be/xFntFdEGgws

Holds then, holds now. Just archived that offline, 5.5MB, took a second.

But, it's not blind Faith, but that based in reason. Much respect to your post here:

>>11305 (PB)

>Get lost, poser VQC Faggot. We have real Schizo Math to do

>These two posts are pure bullshit. Look, VQC may be stalling, posting bullshit (as he does), or acting Crazy. That's why we're all here. We're a bit crazy too. He got his ass banned from /cbts/ for being Crazy. However, don't try to fuck with us on the basic principles and variables of the problem, bc we have those memorized.

Difference between Faith and Blind Faith. That based on REASON. Does a post hold? Is it consistent? Does it provide new insight? Can it be validated as TRUE?

We don't need no fuggin trips, it's by our fruit we'll know one another.

Wish current window wasn't closing, having fun working on this again. Am here this evening, will post some work to help others who may be lurking or come by in the future.

For AA:

>>7689 PB (AA)

>My ass. 22222268356688393753

Hey AA, here are your factors:

22222268356688393753 =

2222223827 * 10000013539

Fun digits there!

>>6742 (PB) VQC

>When at least one regular or two anons confirms they are happy with the constructibility of cells to be zero or infinite in elements, we'll move on.

How many times have we dropped the ball? So much bitching, but really, we often don't do our homework.

Maybe will go back to that one right now - valid and constructible cells.

Here's one, given you posted on RSA2048 (will monitor this >>11586 tonight should you wish to take your coding work out of this thread):

>>6746 (PB) VQC, RSA #12, snipe post.

>Anyone want to show:

>RSA 2048

>c=RSA 2048

>d=

>e=

>BigN=

Sure, will post some parameters on RSA2048. Maybe will bring CC back to the fray for a post or two…

Based on a=1 (obviously, for NOW..)

c = 25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357

d = 1.58732191050391204174482508661063007579358463444809715795726627753579970080749948404278643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807844e+308

e = 1.49730827186590819409161975355863102499674499386960841184873248110419525705142414412560340457818822465695973580080183089801154577153055685206470161899420076208154943348665238647007714095089342669905666884517354400122833485897064098153958317993833609635063079613328500485188782423277886515290863800949716792021e+308

e gap = 0.0

a = 1

b = c

f = -1.67733554914191588939803041966262912659042427502658590406580007396740414456357482395996946061317379799646830532299859839705684383792577996085866988545837793134656535078289640420733265486988603663762470587950686323206807048078389740752755330282181154336529907629137569740509963671690410162899710483245952823668e+308

x = 1.58732191050391204174482508661063007579358463444809715795726627753579970080749948404278643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807843e+308

n = 1.2597954237828946747013591620024199285714641063102016013888568918021831010353797778132009262940392203459145320624757541094649279574588092251404244560036422496343696403643888367985709173635130948187507485912345582538806689929547850048665229874404214200898714550321229345908597559373060757586327316141108434993615859020166427425368088424069958780819853230147577508164643339364712441831390650677628862077837124697517250971910788373374647441598985076306038901094587160385923033013611772476591818466822702222519806172328865872316642926190459725502720591581076567956723729060778728578126316270798047266909911419313225552335e+616

c 4k+1 if = 0: = 0

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6a2de9 No.11808

>>11807

Should have posted in INTEGER format:

c = 25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357

e = 149730827186590819409161975355863102499674499386960841184873248110419525705142414412560340457818822465695973580080183089801154577153055685206470161899420076208154943348665238647007714095089342669905666884517354400122833485897064098153958317993833609635063079613328500485188782423277886515290863800949716792021

n = 12597954237828946747013591620024199285714641063102016013888568918021831010353797778132009262940392203459145320624757541094649279574588092251404244560036422496343696403643888367985709173635130948187507485912345582538806689929547850048665229874404214200898714550321229345908597559373060757586327316141108434993615859020166427425368088424069958780819853230147577508164643339364712441831390650677628862077837124697517250971910788373374647441598985076306038901094587160385923033013611772476591818466822702222519806172328865872316642926190459725502720591581076567956723729060778728578126316270798047266909911419313225552335

d = 158732191050391204174482508661063007579358463444809715795726627753579970080749948404278643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807844

x = 158732191050391204174482508661063007579358463444809715795726627753579970080749948404278643259568101132671402056190021464753419480472816840646168575222628934671405739213477439533870489791038973166834068736234020361664820266987726919453356824138007381985796493621233035112849373047484148339095287142097834807843

a = 1

b = 25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357

f =-167733554914191588939803041966262912659042427502658590406580007396740414456357482395996946061317379799646830532299859839705684383792577996085866988545837793134656535078289640420733265486988603663762470587950686323206807048078389740752755330282181154336529907629137569740509963671690410162899710483245952823668

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6a2de9 No.11810

>>11789

>>11808

VA, they were also posted in RSA#13 by

AA >>6753 (PB), 3DA >>6766 (PB), and anon >>6916 (PB)

PrimeAnon wrote a Java package "BigNumTester" >>6794 (PB) available here:

https://pastebin.com/PxKGHme8

You may find this paper helpful (PDF link):

Square roots of un-factored RSA Challenge numbers, January 2016

DOI: 10.13140/RG.2.1.1249.0001

Y. Kirani Singh, C-DAC Silchar

Long division method has been implemented to compute the square root of positive number. It is deterministic algorithm and it gives the best result for any digit computed as compared to approximation method such as Babylonian or Newton-Raphson’s method. The long division method can be extended to compute the nth root of any positive real number of any magnitude up to any desired precision. Following are the square roots of so far un-factored RSA challenge numbers, which may be of interests to researchers who are desirous of factoring RSA Challenge numbers.

https://www.researchgate.net/publication/294548548_Square_roots_of_un-factored_RSA_Challenge_numbers

Here is the set of root values in the document:

One attribute of the factors a and b, is that each RSA number is the product of two randomly chosen primes of approximately the same length.

Another constraint is these primes were both chosen to be congruent to 2, modulo 3, so that the product could be used in an RSA public-key cryptosystem with public exponent 3.

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07f452 No.11811

I wonder when Brexit officially happens…

Seems there's "a deal" in place…

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224a43 No.11812

What makes more sense?

The factors of 2048RSA?

A signed message with 2048RSA?

All the RSA numbers used to sign messages?

Signing sends more than one message.

By signing with the private key rather spilling secrets, you could take some reward for efforts.

I'm neutral on money. Dont need any. Happy to vault all this while we fully explore just the sheer ramifications of what we found.

One thing I will re-iterate. Some professors expected this. Some knew. Math is not fit for purpose.

In the End P and NP.

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224a43 No.11813

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224a43 No.11814

>>11810

They will come here quickly.

Things will happen fast.

RSA100.

Divide two d by x. Remainder?

Divide x by n? Remainder?

The ratios are identical.

HERE IS GOLD. GET READY.

Integers…

Two d times 10000..00 divide by x = 74.65595…

x times 1000…00 divide by n

72.65595…

Indentical MANTISSA.

EVERYTHING IN NUMBER THEORY IS MISSING THE SYMMETRY.

74.65595 2d mod x

73.66000 zm1

72.65595 x mod n

This is true for all c.

Not the numbers.

The number of n in x is two less than x in two d, ratio after decimal point same.

No

More

Secrets.

Yeah it doesnt mean that. Just means dont give to Hillary unless you want docs to smell of kipper trench.

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224a43 No.11815

Remember.

You want to decrypt?

ab used to encrypt.

Need to know Euler tortient for two co-primes.

(a-1)(b-1), this gives the identity when combined with the original or you can decrypt.

z=73.60… what is nm1 times z or x times z. Z is part of f…

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224a43 No.11816

File: 27dd8f28d325ef8⋯.jpg (7.31 MB,4032x3024,4:3,IMG_20201231_004029051.jpg)

What is 2d divided by x for each RSA number? RATIO.

What is x divided by n? RATIO

Why is it ENTIRELY self similar?

Why is number for two d x two more than x is to n?

What is this VERY old code from before?

What do you force when you choose two non equal prime numbers?

EVERYTHING.

There is so much we didnt know. Would love to share it with you.

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224a43 No.11817

>>11816

This was when z was still just a "thingy" instead of being the key to everything.

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224a43 No.11818

Perhaps like Patrick Stewart in Extras, before she can get her knickers up (got the time, uncertainty principle applies to place.), I've seen everything.

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2b32a6 No.11819

>>11817

>when z was still just a "thingy" instead of being the key to everything.

>>11704

>f = 2z + 2x

z = (f - 2x) / 2

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000000 No.11820

>>11816

>Would love to share it with you.

thanks nigger

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2b32a6 No.11821

Since we're hunting for ratios, I've been playing around with the knowns.

Got very close to a match for our missing remainder for RSA100, but it's definitely not 100%.

Here's the method I used:

RSA100

2d+1 / e =

2.12023394290853826381

2d+1 / f =

1.89267068394984815291

e ratio - f ratio =

0.2275632589586901109

correct remainder = 0.65595…

0.2275632589586901109 x 3

(used 3 just to see if it came close to a match, since VQC had "1/3" in a line from his program screenshots, 3 is the reciprocal.)

0.6826897768760703327

Close but no cigar. However, I'm going to continue playing with the knowns and calculating ratios.

If we can find the correct remainder (with the knowns), we can iterate to solve.

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2b32a6 No.11822

>>11821

Another workable idea:

You skilled program anons can probably beat me to it, just brainstorming ideas over here.

"once you c i[t] you can't un [c] it"

I'll be creating these elements to check the ratios:

(-f na transform) and (e na transform) elements

(c * N-1) and (c * N)

These full elements provide e, n, d, x, a, b

maybe 2d div x and 2d mod x share the same properties?

Somewhere in the grid lies the shortcut. Somewhere in row 1 lies the shortcut. We find the correct remainder, we solve the problem.

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2b32a6 No.11823

>>11822

>maybe 2d div x and 2d mod x share the same properties?

To clarify, I meant that maybe different elements derived from the same c value would share the same ratio and remainder, per the latest posts:

>>11814

>HERE IS GOLD. GET READY.

>Integers…

>Two d times 10000..00 divide by x = 74.65595…

>x times 1000…00 divide by n

>72.65595…

>Indentical MANTISSA.

>EVERYTHING IN NUMBER THEORY IS MISSING THE SYMMETRY.

>74.65595 2d mod x

>73.66000 zm1

>72.65595 x mod n

>This is true for all c.

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6a2de9 No.11824

>>11812

>A signed message with 2048RSA?

>Signing sends more than one message.

Have been thinking about this.

Suggestion: Take 'a' from one RSA number, and 'b' from a second, to create a hybrid: so the RSA-02300240 key would use RSA-230 'a' and RSA-240 'b'. Benefit of these primes being congruent to 2, modulo 3, so that the product can be used in an RSA public-key cryptosystem with public exponent 3.

When solved, will drop a simple "Hello World" type message here. Anyone able to, can reply in kind.

Do you have a message to share? Future proves past…

>>11814

MANTISSA: the part of a floating-point number that represents the significant digits of that number, and that is multiplied by the base raised to the exponent to give the actual value of the number.

r=0.655950384; base=10; 9 decimal digits long

r_int = r*10^9 = 655950384

>>11815

>Euler tortient for two co-primes.

Dove into that the other day. Interesting, still working through it. Is the added r for ratio?

>>11822 VA

>You skilled program anons

30min of your time: >>11809

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07f452 No.11825

HAPPY NEW YEAR!

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f2d790 No.11826

>>11816

u wrotr this code specifically for this post

lmao nice larp

(Jan)
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07f452 No.11827

YouTube embed. Click thumbnail to play.

Fast Inverse Square RootA Quake III Algorithm

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07f452 No.11828

>>11827

https://en.wikipedia.org/wiki/IEEE_754

The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult to use reliably and portably. Many hardware floating-point units use the IEEE 754 standard.

The standard defines:

-arithmetic formats: sets of binary and decimal floating-point data, which consist of finite numbers (including signed zeros and subnormal numbers), infinities, and special "not a number" values (NaNs)

-interchange formats: encodings (bit strings) that may be used to exchange floating-point data in an efficient and compact form

-rounding rules: properties to be satisfied when rounding numbers during arithmetic and conversions

-operations: arithmetic and other operations (such as trigonometric functions) on arithmetic formats

-exception handling: indications of exceptional conditions (such as division by zero, overflow, etc.)

IEEE 754-2008, published in August 2008, includes nearly all of the original IEEE 754-1985 standard, plus the IEEE 854-1987 Standard for Radix-Independent Floating-Point Arithmetic. The current version, IEEE 754-2019, was published in July 2019.[1] It is a minor revision of the previous version, incorporating mainly clarifications, defect fixes and new recommended operations.

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07f452 No.11829

File: 96061eddf78db73⋯.jpg (178.46 KB,1025x585,205:117,6aa5dde76c700390ec54a345df….jpg)

File: ebd1d2147b63614⋯.jpg (120.52 KB,889x674,889:674,2251dce2b3fb23433eece2c69a….jpg)

File: 8c82ffe2c2e67ad⋯.jpg (365.95 KB,1750x1184,875:592,7c793445c939dc06b2ac689eb8….jpg)

File: f5ff300f5418d71⋯.jpg (175.27 KB,940x638,470:319,a337af247b999f2660115f745a….jpg)

Per request from Sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeitbaked.

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2b32a6 No.11830

File: 2a9034a5f301ff1⋯.png (33.51 KB,798x777,38:37,Screen_Shot_2021_01_04_01.png)

Hello Anons, just finished another complete read through of Grid Patterns.

>>6506

Every time I read all the hints again, I find something noteworthy that I can finally understand at this moment, building on all the work we've done.

Here's the key ideas that popped out tonight.

>>9164

>What does f and 2(n-1) contribute?

>Because the tips of all 8 triangles are from (n-1)(n-1) - 1.

(Hmmm. WTF? Ok, I'll give this another look)

>>7982

>Think about the distribution of n and (n-1) in cell (e,1) in the a[t] and d[t] values respectively. This is the quick way to utilising f.

>The remainder of f when divided by 8 is a key to what values of d and (n-1) can be used.

>For each odd square what are the permutations of possible values of f,d and (n-1)?

Ok, so in the (x+n)^2 area, the center is (n-1)^2 - 1

So i just started playing with numbers and having fun.

Found that for our fav c6107, 2d creates a match around the perimeter of (n) and (n-1)^2 taking f into account.

The arrangement of values is new, and creative.

This is a new idea that hasn't been proposed, so at least you fags know I'm working lol. The concept may have some merit.

This is a new approach to solve the "Lock and Key" part of the (x+n)^2 area.

c6107

2d = 156

f = 134

(2d-1) / 4 = 38 r 3

Form a square with perimeter lengths of 38 + 38 + 38 + 38.

These are arranged so that the outside dimensions of the square are 39 * 39. (See attached diagram)

Inside dimensions of the square are 37 * 37 = 1369

1369 - f (which is 134) = 1235

sqrt(1235) = 35 r 10

35 = (n-1)

I'm going to check this with RSA100 and see what happens. It's fun to re-work add the key ideas with new permutations. Maybe VQC was just pointing us in the right direction.

"You have everything you need"?

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6a2de9 No.11831

>>11830

Innovative approaches VA, and some nice crumbs to pull out. Am exploring patterns in f at n=1 for various [t]. Holler if you need anything.

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6a2de9 No.11832

>>11831

>>11830

For c=6107, na=1116, nb=7092.

in f, n=1, the [t] values are 17 and 52. These are (n-1) [t] values apart (35).

The x at t=17 is 48, or x+1.

f n [t] f n d x a b c i j

-134 1 17 134 1 1133 48 1085 1183 1283555 1134 49

-134 1 52 134 1 7013 118 6895 7133 49182035 7014 119

Grid records (e,n) [e:n:d | x:a:b | c], (f,n) [f:nf:df | xf:a:b | c]

[ 23 : 36 : 78 | 47 : 31 : 197 | 6107 ]

[ -134 : 35 : 79 | 48 : 31 : 197 | 6107 ]

and BigN

Grid records (e,nN) [e:nN:dN | xN:aN:bN | c], (f,nN) [f:nfN:df | xf:a:b | c]

[ 23 : 2976 : 78 | 77 : 1 : 6107 | 6107 ]

[ -134 : 2975 : 79 | 78 : 1 : 6107 | 6107 ]

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f4851d No.11833

Ahahhahahahahahhahahahhahahahhahahahahahha It’s 2021 And You Guys Still Think VQC Is Serious

(Jan)
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81677e No.11834

File: 4dc846614e09e49⋯.png (475.26 KB,751x577,751:577,Screenshot_from_2021_01_05….png)

https://news.bitcoin.com/1000-decade-old-dormant-bitcoins-moved-today-on-bitcoins-12th-anniversary/

If I had the ability to crack a crypto wallet and take the coins I would not do it with a wallet someone was looking at. I would crack an abandoned one. I have been looking for this for quite a while and thought you guys may like it as well. Could be someone had a shit password or could be that it is the wallet of a savvy investor from back in the day.

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9ff7a8 No.11835

A

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6a2de9 No.11837

File: ebf847eea69cb5a⋯.jpg (266.48 KB,750x919,750:919,01_frank_r_paul_900_Wonder….jpg)

>>11826 actually, >>11816 could be Jan, or someone else, we don't know.

>>11833

TL;DR version: yes

>>11834 ty

>>11835

>A

= a.a. (Biggest hint yet!)

explored the a.a.n(n-1) some with good results at smaller scale, mid scale and RSA scale. Making some good progress.

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07f452 No.11838

File: 317f36d9c4243ed⋯.jpg (98.08 KB,700x933,700:933,5da593495d764_i457ywwwgew1….jpg)

AND THEEEEEEN?!

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03beb6 No.11839

Final Plan.

Thank you for your time and attendance.

The messaged signed by the private key RSA2048 will read…

"/pol/ is always right ambassador djt trump is afforded protection 1 am the first and last 1 am the angel of death"

In ascii when decrypted.

The asking price for the technology will be 2 billion usd to be shared among you equally or according to your works.

Subsequent technology will be gifted to the organisation nominated by the Trump family.

For God, Trump and Flynn

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07f452 No.11840

File: 624e41dc4093589⋯.jpeg (87.36 KB,500x620,25:31,624e41dc409358967a98c198a….jpeg)

>>11839

Oh sweet!

The meet-up beer will be covered. ^_^

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7c0f37 No.11841

>>11839

You know if you posted that with a trip you'd have an extra layer of identity proofs

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b3f742 No.11842

>>11839

>>11840

Glad the meet-up beers are going to be covered!

Hello Anons.

I've been thinking for days about a potential solution path, and I have something interesting to share with you all. I've checked with small c values, and it's providing some really interesting data.

The concepts use almost every piece of info and method that VQC showed us. I'm going to sketch out the concepts here, and then we can work on exploring it with larger numbers as a team, for anyone who's interested.

"E"

For any given semi prime c, there are 3 locations where factors/factorizations occur in e

1. (e,1) Row 1 contains (an) and (bn)

2. (e,n) prime solution

2. (e,N) 1,c

One of the only pieces of information we have from the Grid about (e,n) is how d and f behave/change in relation to a change in e.

for any given semi prime c:

In (e,1), (e,n), and (e,N):

We know the following:

(e+2n) = delta e (a measurable change in e of 2n)

2(n-1) = delta (a measurable change in f of 2(n-1) for the given 2n change in e)

"N"

The way we force the grid to provide the information we need:

We move laterally in (e,n) without knowing x,a, or b.

How do we do that? We multiply c and create change in c,d,e, and f.

"D"

we multiply c to make it larger.

This changes d and e, which are the key to creating f, since f=2d+1-e.

by making c,d,e and f larger, we are able to obtain two key rates of change:

1. The measurable change in e, which is some portion of our unknown 2n. We can call it delta e

2. The measurable change in f, which is some portion of our unknown 2(n-1). We can call it delta f

To solve for n, we need a few things:

1. We need a large enough change in c,d,e and f to have an appropriate change to measure. I'm still trying to figure out how large of a multiplication is needed. Multiplying c by a square (4,16,25,36,49 etc) seems to work well, since e changes by the amount of the square, making delta e easy to calculate. I think a multiplier <d is also a good idea, similar to the c' = qc ideas we worked on. Not sure on this yet. I've also played with c * N, since that was a key idea from our row 1 explorations.

2. We need the ratio of change to solve for n or (n-1). Still playing with this too. (delta e) / (delta f) = n or (n-1). Or some combo of those deltas

So, here's a small working example to demonstrate the rates of change:

c145

e=1

d=12

f=24

c' = 145 * 9 = 1305

e'=9

d'=36

f'=72 + 1 - 9 = 64

e' - e = delta e = 8

f' - f = delta f = 40

The ratio of change is 1/5 and the reciprocal is 5/1. n = 5

There's a lot more work to be done on this, and I certainly don't have it all figured out.

Let's work as a team to see if the idea has legs for much larger c values.

The END? Lol, funny joke VQC. When we multiply c, we change e, move along (e,n) laterally in the Grid, and end up with a new d value. I think he may have been literally telling us how to move in the Grid to find the solution.

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b3f742 No.11843

here's another working example.

c6017

{23:36:78:47:31:197}

e=23

N=2976

2N= 5952

e+2N= 5975

We know the following:

any movement to the right in e is a portion of e+2n

any movement to the right in f is a portion of 2(n-1)

d increases by 1 with a 2n movement right

So any increase in e and d by moving right in the Grid gives us new values to calc.

Regardless of hitting a whole value, there should be a ratio created that shows n or (n-1)

Movement: Move 2N to the right in (e,N) or (1,c)

23 + 2(2976) = 5975

delta e = 5975 - 23 = 5952

so a new d is created. d= 78+1 = 79

new f = 79*2+1 = (159) -5975= -5816 // weird to have -f, but Ok.

delta f = 5816 - 134 = 5682

5682 / 159 = 35.7358

Dafuq??? We're literally getting ratios that are in between (n-1) and (n)

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b3f742 No.11844

Ok, so I'm asking you solid anons to help explore how f changes in each of these 3 places:

(e,1)

(e,n)

(e,N)

What we're missing is an endpoint element to calculate.

I'm proposing that we create an endpoint element that has the following changes:

delta e = a new e value arrived at by simple multiplication.

For this discussion, I'm proposing this:

e+2N

which means that f will change too, by a portion of 2(n-1)

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6a2de9 No.11845

File: 4170c8e3dbe5284⋯.png (105.92 KB,1475x557,1475:557,nm1_crowd.png)

File: bca427dad2fe2cd⋯.png (615.76 KB,978x908,489:454,screencap_2021_01_15_00_10….png)

File: cc9c8be39f69e03⋯.png (119.63 KB,995x637,995:637,manyprimes_to_filter.png)

File: eb839492b18a7c3⋯.png (194.48 KB,1089x810,121:90,rsa_carty_42.png)

File: cab8f477f4e5bbf⋯.png (58.16 KB,870x280,87:28,Hardy_beautiful_maths.png)

>>11844

Hey VA, working here this eve. Let me know what you need in row 1, can provide.

Had a post set last night, didn't send, then a reboot and lost it.

Basically, have continued to dig into the an, bn and such in (e,1) and (f,1).

Some interesting insights, but like you, feel what is "missing is an endpoint element to calculate."

Get there and can validate in an instant and drop the factors, the problem is the exhaustive search without a map directly to location X. For smaller numbers, this happens in no time. For those 50+ decimals long, well, the t values with each 'an' to test can get a little long, even skipping a billion per step with each t element move. Not looking for a better sieve, but as you say, a calculation. (see pic 2 for illustration of how much an changes with a single t element at RSA100 scale). And pic 3, for just how many primes are out there, so yes, need a calculation. It can be humbling!

Was hoping with some of the skipping around in your last couple posts would see a way to move on up to row 1, versus just horizontally, even if way out there in never never land.

Remember that bit about n(n-1) being special, and being able to pick them out of a crowd? (can post reference if you'd like). Have been looking for patterns there, and some noted, though not a clear lock that brings it home (pic #1 for illustration).

Also went on a tangent looking at square-based pyramids, and controlling the unit volume of the "cap" and then considering volume elements in rest of pyramid and on each layer. Ha, some series popped out and even found a couple in the grid, with some that haven't seen published anywhere, but again, not the lock/key was looking for.

Few other avenues, give a shout if you're curious.

Last 2 pics for fun and the beauty of the harmony seen in these squares and patterns. Comforting some times, as it's just solid and unwavering when a pattern is found.

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6a2de9 No.11846

File: 3bf87af73fbd1a7⋯.png (77.85 KB,860x359,860:359,ef_6107_an_ab.png)

File: 42a8b1ce925a222⋯.png (197.66 KB,1488x694,744:347,n0_patterns1.png)

File: 230a668948c9094⋯.png (186.26 KB,1485x759,45:23,n0_patterns2.png)

File: 7acf7ca74586dfa⋯.png (195.25 KB,1876x771,1876:771,n0_patterns3.png)

File: f53dba6c0a08d8c⋯.png (173.74 KB,1807x803,1807:803,n0_patterns4.png)

>>11843

The post that was wiped was about t-jumps in n1 for 6107. Nothing notable enough to re-write (some formulas for t-calcs and such). You might find these other records interesting, with an = 6107. That's not the an for BigN, as nN is 2976 and a=1 (could find those and take a look), but do note the t-values being the same, the 17, 24, 52 examples that match the t in the e&f we're after.

Finally, some patterns when looking from 40K feet…

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93ea6c No.11847

YouTube embed. Click thumbnail to play.

>>11830

call it a synchronicity, but im just up jamming some tunes and sending out vibes tonight to All That Quest For Truth, so i hop in the current VQC/RSA thread, and im starting at the bottom, and reading up, bouncing around on the replies n sheeeeit, and i get to VA's post to which im now replying, and when i read

>This is a new approach to solve the "Lock and Key" part of the (x+n)^2 area.

>"Lock and Key"

i think of a really good song on the album ive been jamming lately, the album im actually jamming to right now, and guess what song is playing at this exact moment.

vid related. (yes, its the bass playthrough, homie slays)

bless.

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93ea6c No.11848

>>11847

the whole album that track is from is fire. "Circadian" by INTERVALS.

the prior album is epic too, and the title is fitting as well "THE WAY FORWARD"

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93ea6c No.11849

>>11829

i meant in QR, the memetic inception reaches further. bless you though

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4f3c3f No.11850

>>11839

So when’s that gonna be? When everyone’s old and grey-haired?

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b3f742 No.11851

>>11845

Hello MM! IRL stuff has kept me busy, but I'm free now.

Solid ideas in your post!

The main problem we agree on (and all anons here agree on):

>What we're missing is an endpoint element to calculate.

>>11847

Yo Sheeeeitabaked! Thanks for the music!

>>11850

Lol, it's up to us now. We have enough to solve this.

Let's work.

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b3f742 No.11852

File: 7f513eac73b290c⋯.jpeg (15.05 KB,324x192,27:16,Red_5.jpeg)

All wings report in. Red 5 standing by.

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6a2de9 No.11853

>>11850

kek, that's likely a /pol/ Larper.

It's gonna 'b' when we solve this.

Then the Pells will be ringing WW, should we choose.

>>11847

Perfect, ty!

>>11851

>>11852

##ReadyAF

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b3f742 No.11854

"once you c i[t] you can't un c it"

(1,c) = once(1) and c.

What happens in (1,c) ?

Can we calculate an endpoint and calc rates of change?

How do those relate to (e,1) and (e,n) ?'

How do those relate to rates of change in (e,N) regarding the similar movement in (e,n) ?

How does 2(n-1) change?

Can we calculate a ratio?

Feel like Luke flying my X-Wing down the trench right now lol.

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6a2de9 No.11855

>>11854

That's a good crumb. Am only using crumbs prior to 11/14/18 >>8176 in RSA14.

Mirroring yours:

>>7746 (PB)

> It is a lookup via the x values in row 1.

> It is about finding how to make the lookup with column -f and e.

> Something about the product of squares and triangles. I(t) stands out. > Once you c it, you cannot un-c (i)t.

> In The End, it is a lookup.

Have a specific work plan. If you need anything in row 1, let me know, will drop you a paste that imports well.

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b3f742 No.11856

>>11847

This bass player is the fuckin' man.

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6a2de9 No.11857

File: 7135546788a6b52⋯.png (498 KB,733x697,733:697,intervals_in_time.png)

>>11856

Totally, listening to same.

"It's about Time". So, the [t] is KEY!

That's what am working with rn.

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b3f742 No.11858

File: b061ef34289398e⋯.png (300.13 KB,500x282,250:141,All_Your_Base.png)

File: 680d409110c49d8⋯.png (8.21 KB,360x356,90:89,_f_2_132_1_f_2_1_mod_4_.png)

File: 2ad908e903f8e7e⋯.png (176.23 KB,270x343,270:343,Can_I_Haz_P_NP.png)

File: 5db46b0d205615f⋯.png (1.43 MB,1000x500,2:1,Rainbow_Primes.png)

File: 830a39e2ae9d917⋯.png (305.34 KB,333x500,333:500,WhenYouBelieve.png)

Posting some favorites to get the meme juice flowing.

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6a2de9 No.11859

File: 09d3b2c1c786e30⋯.png (109.47 KB,684x933,228:311,square_triangular.png)

>>11858

Booyah! Gimme a fairly fat c to try out.

Don't have the lock and key working yet, but some methods are getting there.

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b3f742 No.11860

>>11859

Let's do this one MM.

RSA 100 [e,n,d,x,a,b]

RSA100 c=

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e=

61218444075812733697456051513875809617598014768503

n=

14387588531011964456730684619177102985211280936

d=

39020571855401265512289573339484371018905006900194

x =

1045343918457591589480700584038743164339470261995

a=

37975227936943673922808872755445627854565536638199

b= c / a

40094690950920881030683735292761468389214899724061

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b3f742 No.11861

First Move:

Find the (1,c) element and BigN

BigN = ((1+c) / 2) - d = BigN

Step 1: find (1+c) / 2

((1+c) / 2) =761302513961266680267809189066318714859034057480690344328954247290061481629476448827000175346003070

then, subtract d

d = 39020571855401265512289573339484371018905006900194

BigN = 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

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6a2de9 No.11862

>>11860

Am ok with that, but believe there are a couple issues at this scale, might as well go ahead and tackle tonight. Not sure the tvals lines up cleanly with the actual na in (e,1), will look again. Also, you won't be able to use excel for any prototyping / validation!

Am mostly set up to switch back and forth with c values. It's helpful if they aren't too huge when coding.

Gotten comfy with this one:

TC2:

c = 172931203

e = 8703

n = 88

d = 13150

x = 1433

a = 11717

b = 14759

f = 17598

N1 record (a=1)

c = 172931203

e = 8703

n = 86452452

d = 13150

x = 13149

a = 1

b = 172931203

f = 17598

and will move to this one which is used for the RSA demo here:

https://rosettacode.org/wiki/RSA_code

They don't list the factors, but they are below. You can go ahead and run the demo with the C# code provided.

Once you have that working, substitute for RSA100.

c = big(9516311845790656153499716760847001433441357)

e = big(1244466085015442603593)

n = big(78338448262349046023)

d = big(3084851997388311683458)

x = big(621277124509562225979)

a = big(2463574872878749457479)

b = big(3862806018422572001483)

f = big(-4925237909761180763324)

nN = big(4758155922895328076746773528426112405037221)

xN = big(3084851997388311683457)

aN = big(1)

bN = big(9516311845790656153499716760847001433441357)

fN = big(-4925237909761180763324)

>>11861

Will check the BigN val now, brb.

Then will get you the critical row 1 parameters. Need to refresh, but the an should be between on of these tvals in (e,1):

[big"2050774221787334962838133", big"2050774221787334962838134", big"2050774221787334962838135"]

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b3f742 No.11863

MM, can you please confirm my calcs?

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b3f742 No.11864

>>11862

Slow refresh. Not surprising. Let's work.

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6a2de9 No.11865

>>11863

Yes, will give you in a minute.

Was pulling up the notes from the t-values for na in (e,1).

## Interesting t values for na for RSA 100

# na_etstart = big(30609222037906366848728025756937904808799007384252)

# na_et = 2*(t-1)*((t-1)+3) + na_etstart

# na_et_gap = na - na_et

#

# 522671959228795794740350292019371582169735130996

# t too small

# Gap to na = 2090687836915183178961401168077486328678940523992

#

# 522671959228795794740350292019371582169735130997

# t too small

# Gap to na = 4

#

# 522671959228795794740350292019371582169735130998

# t too large

# Gap to na = -2090687836915183178961401168077486328678940523988

Few minutes will post BigN.

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6a2de9 No.11866

>>11863

>>11861

Yes, get a match on BigN. Like your method, it's quick!

Grid values:

c = 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e = 61218444075812733697456051513875809617598014768503

n = 14387588531011964456730684619177102985211280936

d = 39020571855401265512289573339484371018905006900194

x = 1045343918457591589480700584038743164339470261995

a = 37975227936943673922808872755445627854565536638199

b = 40094690950920881030683735292761468389214899724061

f =-16822699634989797327123095165092932420211999031886

Grid records (e,n) [e:n:d | x:a:b | c], (f,n) [f:nf:df | xf:a:b | c]

[ 61218444075812733697456051513875809617598014768503 : 14387588531011964456730684619177102985211280936 : 39020571855401265512289573339484371018905006900194 | 1045343918457591589480700584038743164339470261995 : 37975227936943673922808872755445627854565536638199 : 40094690950920881030683735292761468389214899724061 | 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 ]

[ -16822699634989797327123095165092932420211999031886 : 14387588531011964456730684619177102985211280935 : 39020571855401265512289573339484371018905006900195 | 1045343918457591589480700584038743164339470261996 : 37975227936943673922808872755445627854565536638199 : 40094690950920881030683735292761468389214899724061 | 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 ]

BigN Grid values where a=1:

c = 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e = 61218444075812733697456051513875809617598014768503

nN = 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

d = 39020571855401265512289573339484371018905006900194

xN = 39020571855401265512289573339484371018905006900193

a = 1

b = 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

f =-16822699634989797327123095165092932420211999031886

Grid records (e,nN) [e:nN:dN | xN:aN:bN | c], (f,nN) [f:nfN:df | xf:a:b | c]

[ 61218444075812733697456051513875809617598014768503 : 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876 : 39020571855401265512289573339484371018905006900194 | 39020571855401265512289573339484371018905006900193 : 1 : 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 | 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 ]

[ -16822699634989797327123095165092932420211999031886 : 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102875 : 39020571855401265512289573339484371018905006900195 | 39020571855401265512289573339484371018905006900194 : 1 : 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 | 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 ]

BTW, here's the formulas used (from code posted a while back by VQC with the cell validation):

eN = e

aN = 1

bN = c

xN = d - aN

XN = xN^2

XNpe = XN + e

Half_XNpe = XNpe / 2

nN = Half_XNpe / aN

fN = f

nfN = nN - 1

dfN = df

xfN = xN + 1

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b3f742 No.11867

>>11866

Fuck Yeah.

Great work MM.

Jesus Mary and Joseph. We're gonna get some work done for the Free World tonight.

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b3f742 No.11868

>>11866

So you have a match for BigN? Just making sure before I move to the next step.

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b3f742 No.11869

File: cea4400349f6373⋯.png (333.28 KB,647x621,647:621,Screen_Shot_2017_08_20_at_….png)

This smells good. Let's get some proper sniffs up in this.

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6a2de9 No.11870

>>11861

>BigN = 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

>>11868

>nN = 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

Roger roger, we have a lock.

>>11869 kek, just brewed some Covfefe.

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b3f742 No.11871

>>11870

K. Got next steps.

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b3f742 No.11872

>>11870

Let's do the theory first. You'll get it right away.

The big idea is simple.

Then we can work the calculations.

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b3f742 No.11873

MM. You here?

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6a2de9 No.11874

>>11873 Here ready to go for a while.

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b3f742 No.11875

So we have to move 2N to the right.

In (e,N) or N and (1,c)

That increases d, a, b by 1 each

It also gives us a new f to calc.

The difference between the change in e [VS] the change in f gives us a ratio.

That ratio gives us (n-1) or (n)

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b3f742 No.11876

>>11874

K. Please get this element:

(1,c) for RSA100

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6a2de9 No.11877

>>11876

Not sure n>1 is reliable, not tested.

Row 1 is solid. Will generate and see what happens. brb with that.

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b3f742 No.11878

File: 86f2aad2420e75c⋯.jpg (67.22 KB,1024x512,2:1,849d561ea2578b263aed896e9f….jpg)

>>11877

Perfect. Working. Atreides House is based on Honor.

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6a2de9 No.11879

>>11878

Ok, going to need to put in the formulas for positive n, odd e. Do you have handy? Otherwise will pull up from previous work.

Have a template for validation once working.

Wanted to do this anyway, so all good. Starting with:

ef : n : t : f : n: d : x : a : b : c : i : j

Generation for odd positive e n space not complete.

Shouldn't be long to put it together…

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6a2de9 No.11880

>>11879 Dug this up, how's it look?

x = 2*t - 1 # this is for odd e

a = (x*x + e) / 2*n

d = a + x

b = a + 2*x + 2*n

c = a*b

It's the simple approach. Issues is it doesn't have the correct base, and take the interleaving patterns into account.

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6a2de9 No.11882

>>11876

>>11880

Here are first 3 elements, t=1:3, initial output. Added in the i,j

Going to compare to the grid now, but surely won't match as this doesn't enumerate the patterns.

j = 2 * t

i = (a) + j

e_f : n : t : e_f : n: d : x : a : b : c : i : j

1 : 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 : 1 : 1:1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139:1522605027922533360535618378132637429718068114961380688657908494580122963258955422805896879165931521 : 1:1522605027922533360535618378132637429718068114961380688657908494580122963258955422805896879165931520:4567815083767600081606855134397912289154204344884142065973725483740368889776861218113897580549943800 : 6954978213164935783513619134493467472741914570589423191151514834063790072118399981243852607342287873041401606900632468380827372024210501181535349727142819881562316111084458246824970710374810648576000 : 1522605027922533360535618378132637429718068114961380688657908494580122963258955422805896879165931522:2

1 : 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 : 2 : 1:1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139:7613025139612666802678091890663187148590340574806903443289542472900614816294796003495415874410512387 : 3:7613025139612666802678091890663187148590340574806903443289542472900614816294796003495415874410512384:10658235195457733523749328646928462008026476804729664820605359462060860742812701798803416575794524668 : 81141412486924250807658889902423787181989003323543270563434339730744217508048396179647557205575032127814544995965375584532093785516960537101730915280647069976797949546073367402512572686306847607488512 : 7613025139612666802678091890663187148590340574806903443289542472900614816294796003495415874410512388:4

1 : 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139 : 3 : 1:1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139:19793865362992933686963038915724286586334885494497948952552810429541598522366288270215139079091126277 : 5:19793865362992933686963038915724286586334885494497948952552810429541598522366288270215139079091126272:22839075418838000408034275671989561445771021724420710329868627418701844448884194065523139780475138560 : 452073583855720825928385243742075385728224447088312507424848464214146354687690761446606507429561985617949674998167957279768655675670840950433896649324095284455009510064251711628022150125384005656248320 : 19793865362992933686963038915724286586334885494497948952552810429541598522366288270215139079091126278:6

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93ea6c No.11883

File: 120f2ad8d951ba1⋯.png (538.62 KB,481x476,481:476,ClipboardImage.png)

File: 7b9eea344ed5bda⋯.jpg (6.42 MB,4656x3492,4:3,DivinePoetry.jpg)

File: b55369caa6aa757⋯.jpeg (504.12 KB,4096x2730,2048:1365,DivineFaith.jpeg)

File: 1309856f54571f8⋯.jpeg (597.01 KB,4096x2730,2048:1365,DivineHope.jpeg)

File: 8abc950e4945b55⋯.jpeg (727.28 KB,4096x2730,2048:1365,DivineLove.jpeg)

just realized i havent posted these in here, and back around christmas VA asked for some blessings.

"Guard your thoughts very carefully, because thought can literally create a living thing.

The higher a faculty, the further it can reach. You can kick something with your foot, but you can throw it even higher with your hand. With your voice you can reach even further, calling to someone far away. Hearing reaches further still - you can hear sounds like gunfire from a very great distance. Vision reaches even further: you can see things high in the sky.

The higher the faculty, the further it can reach. Highest of all is the mind, which can ascend to the loftiest heights. You must therefore guard your mind and thoughts to the utmost."

-Rebbe Nachman of Breslov

Ephesians 2:10

"We have become his poetry, a re-created people that will fulfill the destiny he has given each of us, for we are joined to Christ, the Anointed One. Even before we were born, God planned in advance our destiny and the good works we would do to fulfill it!"

THERE ISNT ENOUGH NUANCE TO EXPLAIN INFINITY

BUT WE HAVE GRAPPLED WITH IT.

WHILE BECOMING WHAT WE'RE MEANT TO BE

INTENT

ON REMAINING HEAVEN-BENT

UNTIL THE GATES OF HELL

THEMSELVES

BECOME BLESSINGS OF A HEAVEN-SENT

NATURE.

SOFUCK FEARAND FUCK FAILURE

NAH, THEY'RE MERELY

NECESSARY COMPONENTS

OF THIS OMNIPOTENT FLAVOR

-sheeeitbaked circa 12/__/17

BLESSINGS TO ALL THAT QUEST FOR TRUTH, IN TRUTH, AND BY TRUTH. FOR IT IS IN TRUTH, BY TRUTH, AND FOR TRUTH THAT WE SHALL CONQUER THE TASK AT HAND.

THE HEROES' JOURNEY

FOR GOD & COUNTRY

VINCIT OMNIA VERITAS

CRAS ES NOSTER

DEUS VULT!

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93ea6c No.11884

File: 405ab316029bfe4⋯.png (435.29 KB,480x476,120:119,ClipboardImage.png)

only i can post original pictures of the holy grail of analog quantum computers, adorned with its personal totems gifted by the closest of friends with the best of intentions.

well, i reckon' NoSuchAgency could LARP as sheeeeeeitbaked too, but Y tho?

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b3f742 No.11885

File: e281bd2a6085031⋯.png (86.27 KB,490x500,49:50,WWF1WFA.png)

>>11884

>>11883

The Bread is Blessed.

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b3f742 No.11886

for c6107

Posting true facts.

(e,n)

{23:36:78:47:31:197}

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b3f742 No.11887

MM. Let's work.

Too many distractions on Discord.

I'll meet you here at the bread.

Let's just work here.

You OK with that?

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6a2de9 No.11888

File: 7aab7d5fab1c965⋯.png (26.41 KB,434x449,434:449,GRID_e1_n85.png)

File: c76dbebb47e478e⋯.png (173.41 KB,1817x450,1817:450,CODE_simple_e1_n85.png)

File: dfa379f424cd1d0⋯.png (126.76 KB,1024x1075,1024:1075,ClipboardImage.png)

File: 39b33c86c8160b1⋯.png (73 KB,676x660,169:165,Deus_Vult.png)

>>11882

That's the basic output, with simple formulas. This doesn't account for proper enumeration of the patterns.

See the pics for (1,85) validation against the grid.

>>11886

Here is Row 1, should be accurate, check the (23,1) (and the f=134 if you have an expanded Grid):

ef n t f n d x a b c i j

23 1 1 23 1 13 1 12 16 192 14 2

23 1 2 23 1 19 3 16 24 384 20 4

23 1 3 23 1 29 5 24 36 864 30 6

23 1 4 23 1 43 7 36 52 1872 44 8

23 1 5 23 1 61 9 52 72 3744 62 10

23 1 6 23 1 83 11 72 96 6912 84 12

23 1 7 23 1 109 13 96 124 11904 110 14

23 1 8 23 1 139 15 124 156 19344 140 16

23 1 9 23 1 173 17 156 192 29952 174 18

23 1 10 23 1 211 19 192 232 44544 212 20

23 1 11 23 1 253 21 232 276 64032 254 22

23 1 12 23 1 299 23 276 324 89424 300 24

23 1 13 23 1 349 25 324 376 121824 350 26

23 1 14 23 1 403 27 376 432 162432 404 28

23 1 15 23 1 461 29 432 492 212544 462 30

23 1 16 23 1 523 31 492 556 273552 524 32

23 1 17 23 1 589 33 556 624 346944 590 34

23 1 18 23 1 659 35 624 696 434304 660 36

23 1 19 23 1 733 37 696 772 537312 734 38

23 1 20 23 1 811 39 772 852 657744 812 40

23 1 21 23 1 893 41 852 936 797472 894 42

23 1 22 23 1 979 43 936 1024 958464 980 44

23 1 23 23 1 1069 45 1024 1116 1142784 1070 46

23 1 24 23 1 1163 47 1116 1212 1352592 1164 48

23 1 25 23 1 1261 49 1212 1312 1590144 1262 50

23 1 26 23 1 1363 51 1312 1416 1857792 1364 52

23 1 27 23 1 1469 53 1416 1524 2157984 1470 54

23 1 28 23 1 1579 55 1524 1636 2493264 1580 56

23 1 29 23 1 1693 57 1636 1752 2866272 1694 58

23 1 30 23 1 1811 59 1752 1872 3279744 1812 60

ef n t f n d x a b c i j

-134 1 1 -134 1 77 16 61 95 5795 78 17

-134 1 2 -134 1 113 18 95 133 12635 114 19

-134 1 3 -134 1 153 20 133 175 23275 154 21

-134 1 4 -134 1 197 22 175 221 38675 198 23

-134 1 5 -134 1 245 24 221 271 59891 246 25

-134 1 6 -134 1 297 26 271 325 88075 298 27

-134 1 7 -134 1 353 28 325 383 124475 354 29

-134 1 8 -134 1 413 30 383 445 170435 414 31

-134 1 9 -134 1 477 32 445 511 227395 478 33

-134 1 10 -134 1 545 34 511 581 296891 546 35

-134 1 11 -134 1 617 36 581 655 380555 618 37

-134 1 12 -134 1 693 38 655 733 480115 694 39

-134 1 13 -134 1 773 40 733 815 597395 774 41

-134 1 14 -134 1 857 42 815 901 734315 858 43

-134 1 15 -134 1 945 44 901 991 892891 946 45

-134 1 16 -134 1 1037 46 991 1085 1075235 1038 47

-134 1 17 -134 1 1133 48 1085 1183 1283555 1134 49

-134 1 18 -134 1 1233 50 1183 1285 1520155 1234 51

-134 1 19 -134 1 1337 52 1285 1391 1787435 1338 53

-134 1 20 -134 1 1445 54 1391 1501 2087891 1446 55

-134 1 21 -134 1 1557 56 1501 1615 2424115 1558 57

-134 1 22 -134 1 1673 58 1615 1733 2798795 1674 59

-134 1 23 -134 1 1793 60 1733 1855 3214715 1794 61

-134 1 24 -134 1 1917 62 1855 1981 3674755 1918 63

-134 1 25 -134 1 2045 64 1981 2111 4181891 2046 65

-134 1 26 -134 1 2177 66 2111 2245 4739195 2178 67

-134 1 27 -134 1 2313 68 2245 2383 5349835 2314 69

-134 1 28 -134 1 2453 70 2383 2525 6017075 2454 71

-134 1 29 -134 1 2597 72 2525 2671 6744275 2598 73

-134 1 30 -134 1 2745 74 2671 2821 7534891 2746 75

>>11883 Blessings!

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b3f742 No.11889

>>11870

>BigN =

761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

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b3f742 No.11890

e =

61218444075812733697456051513875809617598014768503

+2N:

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

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b3f742 No.11891

e+2N = 1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

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6a2de9 No.11892

>>11891

>761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

Missing the e (see your post above, that's your 2N, which is correct):

ep2N = 1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

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b3f742 No.11893

>>11892

Thanks MM!

Next step is calculating the change in f between the two e values.

Let's walk through the solution.

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93ea6c No.11894

THE MOMENT, THIS MOMENT.

THIS PRESENT MOMENT, IS EXCEEDINGLY AUSPICIOUS. RIPE AND BURSTING WITH THE ENERGY OF FRUITION

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6a2de9 No.11895

>>11894 (i)NdEeD

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6a2de9 No.11896

File: 54b4a1b29c8be9e⋯.png (10.59 KB,597x262,597:262,dostuff.png)

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f78e8a No.11897

File: 387c9adfe83b6b3⋯.png (10.11 KB,686x70,49:5,va_s_delta_idea_1.png)

>>11895

>>11896

Just reposting here since you aren't on Discord. VA suggested we test out dividing |f|+2(N-1) (the change in f one element from 1,c) and 2(N-1)-|f| (because this one worked for c145) each by f to see if they were equal to n-1. Pic related was the results (in the same order).

Also, just out of curiosity, is there any reason why you aren't using a trip? None of us know what's going to happen this week either with Q or with Chris but just on the off chance we get an influx of people and your IP changes you'll be harder to identify, and it's better to be prepared than unprepared.

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6a2de9 No.11898

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6a2de9 No.11899

>>11897

>Pic related was the results (in the same order).

Pic is confusing. What are 846 and 4704? What are the solid red sections?

>>11893

>Let's walk through the solution.

When you are ready to proceed, holler.

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07f452 No.11900

File: 7e98a48daf8b1bd⋯.jpg (104.63 KB,673x540,673:540,7e98a48daf8b1bd8b59bbc6668….jpg)

Sheeeeeit told me to stop by with memeage.

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b3f742 No.11901

>>11899

>>11897

In my smaller examples it's been like "all the puzzle pieces are here, and of correct size"

So then I'm like "hmmm, I'm going to move you all around until the answer pops out.'

And then the answer pops out.

Worst case, we have fun exploring an idea. Best case it actually works lol.

Here's the steps I'm taking if anyone wants to follow along.

The big idea is moving in the Grid to a new valid element, which will give us a change in e and f that we can measure. The rates of change between e and f are offset by 2n and 2(n-1), giving us enough info to solve the problem.

1. find the (1,c) element

{e,N,d,x,1,c}

2. Move 2N to the right, which would be the (2,(c+1)) element.

{(e+2N),(N),(d+1),x,(2),(c+1)}

3. Calculate the f values from the (1,c) element and the (2,(c+1)) element.

4. Take all these puzzle pieces and play with them!

Here are the puzzle pieces:

e,

e+2N

delta e (e+2N-e) = 2N

f

new f: 2(d+1)+1-(e+2N)

delta f = new f - f

I've been able to get n or (n-1) to pop out with ONLY these pieces of info.

Like divide this by this and BAM here's your n or (n-1)

Important concepts to consider:

We are creating movement in e, and in f by changing c.

in the prime solution row (e,n) - for every change of 2n to the right in e, we get a change of 2(n-1) in f.

This rate of change can be used to solve for n or (n-1)

However, we don't have that info. So where can we get it?

What we do have is the BigN (1,c) element, and new elements every 2N to the right, where d,a,b increase by 1 just like in (e,n)

To calculate a new f we need a VALID LOCATION. which is what we get when we move 2N to the right.

My theory is that the same (e,n) rules for 2n and 2(n-1) hold true in (e,N) or that they are closely related or modified in some way. When we change c, we get a measurable change in e, which is some portion of 2n - (delta e)

This changes f, and we get a measurable change which is some portion of 2(n-1) - (delta f)

so (delta e) and (delta f) create a ratio.

please see these small examples for a general idea of what I'm talking about:

>>11843

>>11842

Ok, so I'm just going to walk it through with BigN for RSA100 and see what happens.

I'm going to gather up all the puzzle pieces and then just play around and find some ratios etc.

MM, if you're willing to help that would be cool!

Sorry I fell asleep lol.

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6a2de9 No.11902

>>11901

Sounds good VA. If you need any specific calcs or checks, just holler. Would suggest perhaps using smaller numbers (the "TC2" in >>11862 is good and was filtered to be aligned with RSA100 for parity and such), but swinging for the fences is good too.

Am in the (e,1) (f,1) sandbox for now, enumerating more patterns. Quadratic equations for element growth, and being able to go both ways within a cell (so calc a value for a given t, or calculate the closest t given some value). Have some other things to get done, but was committed to checking off this mini-goal so pushing on.

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b3f742 No.11903

>>11902

Thanks MM. Working as much as IRL allows. Working on the delta f calcs starting now.

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b3f742 No.11904

e =

61218444075812733697456051513875809617598014768503

2N =

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

ep2N =

1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

This is the first half needed for the calcs in (1,c)

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b3f742 No.11905

f =

16822699634989797327123095165092932420211999031886

new f = 2(d+1)+1- ep2N =

2 * 39020571855401265512289573339484371018905006900194 + 1 // (new 2d+1)

-1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

(new 2d) =

78041143710802531024579146678968742037810013800390

(new 2d +1) =

78041143710802531024579146678968742037810013800391

ep2N = 1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

new f = (new 2d+1) - ep2N =

-1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

Just doing calculations for the moment.

All variables will be open for verification by all Anons.

Please check my work, lads.

MM, would you please take a look and verify if you're able this evening?

Thanks in advance to everyone for helping to explore this theory.

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6a2de9 No.11906

File: 9e3bc5ede8898c5⋯.png (91.99 KB,1637x302,1637:302,col_001_n_017.png)

File: e5d90c2ce878b65⋯.png (167.14 KB,1633x706,1633:706,grid_lipstick.png)

>>11903

>Thanks MM. Working as much as IRL allows. Working on the delta f calcs starting now.

Ok good, with you fren. Same on the IRL, have gone beyond lately and will need to curb, but tonight, we break the internet!

>>11905

>MM, would you please take a look and verify if you're able this evening?

Will validate these calcs. Specific checks can be done. Was just putting some lipstick on the GRID.

Planning to enumerate (1,n). It doesn't look too daunting (after f, n=1!!!) brb with the verification.

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6a2de9 No.11907

File: 67fb3cacdbb61ae⋯.png (173.09 KB,937x786,937:786,va_val_1.png)

>>11905

Need some clarification. Your e, 2N, and ep2N all look good.

new f = 2(d+1)+1- ep2N

Ok, in your output, don't see the '+1' that is inside the brackets, only the one outside, are there two '+1''s?

That would explain the 1-unit difference am seeing (that …0194 would be ..0195).

Pic should explain, we can proceed after resolving the unit difference.

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b3f742 No.11908

>>11907

Hello MM! Yes, just added one to d before doing the calculation.

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b3f742 No.11909

>>11907

So the total increase is 2(d+1)

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b3f742 No.11910

>>11906

>but tonight, we break the internet!

I'm just working on a fun Math(s) problem lol.

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b3f742 No.11911

Puzzle pieces:

e =

61218444075812733697456051513875809617598014768503

2N =

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

ep2N =

1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

f =

16822699634989797327123095165092932420211999031886

new f = 2(d+1)+1- ep2N =

2 * 39020571855401265512289573339484371018905006900194 + 1 // (new 2d+1) =

-1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

(new 2d) =

78041143710802531024579146678968742037810013800390

(new 2d +1) =

78041143710802531024579146678968742037810013800391

ep2N = 1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

new f = (new 2d+1) - ep2N =

-1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

Ok, all the puzzle pieces are here.

I'll get to work calculating ratios and reciprocals.

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6a2de9 No.11912

File: b5b16a10739258e⋯.png (76.37 KB,1426x476,713:238,grid_e1_n_examples1.png)

File: 42b71f02014a067⋯.png (18.97 KB,1430x168,715:84,grid_e1_n_examples2.png)

File: 68791008ddd96ae⋯.png (75.35 KB,1427x451,1427:451,grid_e1_n_examples3.png)

File: fdab3469c4853a0⋯.png (27.04 KB,1426x212,713:106,grid_e1_n_examples4.png)

File: 5dd26196bb6406f⋯.png (49.57 KB,1426x355,1426:355,grid_e1_n_examples5.png)

>>11910

>I'm just working on a fun Math(s) problem lol.

kek, #metoo

Some real math breakthroughs lately. That's what makes this fun. Nice thing about maths, is once you solve something, you KNOW you have. It's solid, through and through and can be extended. Pretty cool.

>>11908

>>11909

Sorry, still not quite clear. Which one to use?

>>11911 NICE digits!!! (43 * 277)

Ok, will put those in. Please don't proceed until we are in agreement on the unit difference, still not clear.

Pics are some (1,n) examples for numeration…

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b3f742 No.11913

>>11912

Hey MM! here ya go.

original d =

39020571855401265512289573339484371018905006900194

original (d+1) =

39020571855401265512289573339484371018905006900195

2(d+1) =

78041143710802531024579146678968742037810013800390

2(d+1) + 1 =

78041143710802531024579146678968742037810013800391

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6a2de9 No.11914

>>11913

VA's 'Walking the Grid' values:

c (RSA100) = 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e = 61218444075812733697456051513875809617598014768503

d = 39020571855401265512289573339484371018905006900194

(d+1) dp1 = 39020571855401265512289573339484371018905006900195

2*(d+1) two_dp1 = 78041143710802531024579146678968742037810013800390

(2*(d+1)+1)two_dp1_p1 = 78041143710802531024579146678968742037810013800391

Chek'd, we're good to here!

(BigN) nN = 761302513961266680267809189066318714859034057480651323757098846024549192056136964455981270339102876

(nN * 2) twoN = 1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

eptwoN = 1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

eptwoN = 1522605027922533360535618378132637429718068114961363865958273504782795840163787804721580138692974255

twod = 78041143710802531024579146678968742037810013800388

twod_p1 = 78041143710802531024579146678968742037810013800389

new_f_va = (2 * (big(39020571855401265512289573339484371018905006900194) + 1)) - eptwoN

new_f_va = -1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173865

new_f = -1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

newf_diff = 1

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5669bd No.11915

>>11914

Thanks MM! I'll get to the ratios asap.

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5669bd No.11916

>>11914

Thanks for verifying the calcs!

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6a2de9 No.11917

>>11916

You bet VA. Have a notebook running for you. It was me who fell asleep and got some much needed rest, hope you did as well. Day already underway, breakfast done, lunches just about packed, COVID attestations completed.

Remember this day. Peace and blessings to you VA (and all anons who may lurk).

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6a2de9 No.11918

>>11915

btw, that mini goal? Nailed it (need to complete validation).

>>11896 doing stuff.. Stuff done.

Here's the output for RSA100:

vqc: BigN records are:

vqc: ef : n : t : f : n: d : x : a : b : c

vqc: 1244466085015442603593 : 4758155922895328076746773528426112405037221 : 0 : 1244466085015442603593:4758155922895328076746773528426112405037221:3084851997388311683458 : 3084851997388311683457:1:9516311845790656153499716760847001433441357 : 9516311845790656153499716760847001433441357

vqc: -4925237909761180763324 : 4758155922895328076746773528426112405037221 : 0 : -4925237909761180763324:4758155922895328076746773528426112405037221:3084851997388311683458 : 3084851997388311683457:1:9516311845790656153499716760847001433441357 : 9516311845790656153499716760847001433441357

vqc: -4925237909761180763324

vqc: f right now === -4925237909761180763324

vqc: set right now === 49624781661

vqc: setelement right now === 28293244402

vqc: d_base right now === 2462618955022503019502

vqc: a_base right now === 2462618954923253456180

vqc: x_base right now === 99249563322

vqc: HELLO!!!

vqc: dfn1_base : dfn1_2 : dfn1_3 : dfn1_4 : dfn1_5 : afn1_base : afn1_2 : afn1_3 : afn1_4 : afn1_5

vqc: 2462618955022503019502 : 2462618955221002146150 : 2462618955419501272802 : 2462618955618000399458 : 2462618955816499526118 : 2462618954923253456180 : 2462618955121752582826 : 2462618955320251709476 : 2462618955518750836130 : 2462618955717249962788

vqc: This concludes the core parameter section.

vqc: afn1_diff1_1 : afn1_diff1_2 : afn1_diff1_3

vqc: 198499126646 : 198499126650 : 198499126654

vqc: afn1_diff2_1 : afn1_diff2_2

vqc: 4 : 4

vqc: The equation for calculating tval is (2)*(t^2) + (198499126640)*(t) + (2462618954724754329538)

vqc: For input f_grid t of 42, the 'an' value is 2462618963061717651946.

vqc: Can you find a related value in the e_grid column?

vqc: The target value is an + d, or 5547470960450029335404.

vqc: The afn1 t value for target d of 51753 is -14534762033.

(Note: ^^ this isn't correct, think just a print issue)

vqc: HELLO AGAIN!

vqc: READY to do some en stuff in col d. Target d is 5547470960450029335404.

vqc: den1_diff1_1 : den1_diff1_2 : den1_diff1_3

vqc: 6 : 10 : 14

vqc: den1_diff2_1 : den1_diff2_2

vqc: 4 : 4

vqc: The equation for calculating tval in col d is 2*t^2 + (0)*(t) + (622233042507721301796)

vqc: For input e_grid t of 5, the 'd' value is 622233042507721301846.

vqc: Can you find the t value in the 'd' e_grid column for 5547470960450029335404?

vqc: The t value for target d of 5547470960450029335404 is 49624781702.

vqc: The t offset is af_t - ed_t = 49624781660.

vqc: HELLO AGAIN AGAIN!

vqc: e_f : n : t : e_f : n: d : x : a : b : c : i : j

vqc: ------------

vqc: 1244466085015442603593 : 1 : 1 : 1244466085015442603593:1:622233042507721301798 : 1:622233042507721301797:622233042507721301801 : 387173959188415704470964605416471240636397 : 622233042507721301799:2

vqc: 1244466085015442603593 : 1 : 2 : 1244466085015442603593:1:622233042507721301804 : 3:622233042507721301801:622233042507721301809 : 387173959188415704478431401926563896258009 : 622233042507721301805:4

vqc: 1244466085015442603593 : 1 : 3 : 1244466085015442603593:1:622233042507721301814 : 5:622233042507721301809:622233042507721301821 : 387173959188415704490876062776718322294189 : 622233042507721301815:6

vqc: -4925237909761180763324 : 1 : 1 : -4925237909761180763324:1:2462618955022503019502 : 99249563322:2462618954923253456180:2462618955121752582826 : 6064492117636124749736300868796946211564680 : 2462618955022503019503:99249563323

vqc: -4925237909761180763324 : 1 : 2 : -4925237909761180763324:1:2462618955221002146150 : 99249563324:2462618955121752582826:2462618955320251709476 : 6064492118613780173453257257193144779059176 : 2462618955221002146151:99249563325

vqc: -4925237909761180763324 : 1 : 3 : -4925237909761180763324:1:2462618955419501272802 : 99249563326:2462618955320251709476:2462618955518750836130 : 6064492119591435597268718403792736844167880 : 2462618955419501272803:99249563327

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37ffb2 No.11920

So how’s about it huh Chris? Admit there’s no solution? Apologize for the lives you’ve torn apart and wasted for your lies?

(Jan)
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ac11df No.11921

>>11918

Hey MM!

Need to find a better way to display decimal remainders and their reciprocals.

I'm calculating the ratios and ending up with numbers between 1 and 2, like the golden ratio.

need to have accurate floating point results, and then take the reciprocal.

Any practical advice would be great.

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6a2de9 No.11922

File: 0330e69f24964d9⋯.png (22.12 KB,759x105,253:35,11919_deleted.png)

>>11920

Anon, sorry for your loss. Perhaps you are the same who posted earlier and deleted. The frustration is clear, either way.

Have encountered loss in this quest as well. Rather than blaming others, have chosen to look inward at intentions, balance in choices made, etc. This always exposes flaws to address and thus refine future choices and actions.

It's not easy, but in the end (no pun intended), glad to have traveled the path/gauntlet on this most interesting journey of life. Perhaps the grid and this quest for the factorization grail is my own philosophers stone, where ultimately, it's more about refining oneself than refining a system of numbers.

That plus learning the maths and patterns has been good. Not only interesting in it's own right, from a curiosity perspective and for an appreciation of nature, but it's made me a better teacher. And speaking of teachers, and those who came before us, or who are alive today, am grateful for the awareness. Fermat, Euler, Conway and too many to name (think Descartes was likely a real cunt regardless of contributions). Can't share more as anon, but hope that helps in some way.

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6a2de9 No.11923

>>11921

What do you have in mind?

Are you taking the reciprocal of the decimal portion, such that when multiplied by the original decimal will equal 1?

Not sure what you mean by display, if you mean of a form, such as a continued fraction instead of decimal, or to 'see patterns'.

If you're chasing down the more recent golden ratio and mantissa posts, am hesitant to follow, though not saying the path doesn't have merit. Glad to expound on what I 'mean' and why.

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e9c28a No.11924

>>11923

Hello MM! Same plan as before, looking for the (e) change in 2N vs the change in f.

I'm starting at the (1,c) element in (e,N), and then moving 2N to the right, to (2,c+1)

Reposting the solution variables here to have hem handy:

RSA100 Variables & Calcs

c=

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e=

61218444075812733697456051513875809617598014768503

n

14387588531011964456730684619177102985211280936

d=

39020571855401265512289573339484371018905006900194

x=

1045343918457591589480700584038743164339470261995

a=

1045343918457591589480700584038743164339470261995

b=

40094690950920881030683735292761468389214899724061

f=

16822699634989797327123095165092932420211999031886

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e9c28a No.11925

Testing ideas.

Here's some calculations moving the puzzle pieces around.

new f = 1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

original f =

16822699634989797327123095165092932420211999031886

abs(new f) - original f = delta f = 1522605027922533360535618378132637429718068114961269002114927712454444137921943743047122116680141978

delta f / new(2(d+1)+1) =

1522605027922533360535618378132637429718068114961269002114927712454444137921943743047122116680141978

DIV

78041143710802531024579146678968742037810013800391=

19510285927700632756144786669742185509452503450095

actual n =

14387588531011964456730684619177102985211280936

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e9c28a No.11926

new f =

-1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

original f =

16822699634989797327123095165092932420211999031886

abs(new f) + original f = delta f

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205750

delta f DIV (2(d+1)+1) =

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205750

DIV

78041143710802531024579146678968742037810013800391= n or (n-1)

19510285927700632756144786669742185509452503450096

actual n =

14387588531011964456730684619177102985211280936

Numerator is too big! Moving puzzle pieces again.

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07f452 No.11927

>>11926

I'm just glad when people post on the board.

I keep throwing it out there… but rarely does anyone take heed or even seem to notice.

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e9c28a No.11928

File: c7b10bf32069f57⋯.jpeg (144.96 KB,1125x652,1125:652,DJT_Matrix_Pepe.jpeg)

>>11927

Thanks Topol! Glad to post. Even if everything else today seems for the moment like a blackpill, at least I can work on Math(s) with my frens. Thanks for the encouragement to post here.

Testing ideas:

the total movement in e is +2N to the new (2,c+1) element

2N=

1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

the (new f) value is =

1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

(new f) / 2N =

1

remainder =

16822699634989797327123095165092932420211999031888

n=

14387588531011964456730684619177102985211280936

((new f) - (original f)) / (original f)= 1522605027922533360535618378132637429718068114961285824814562702251771261017108835979542328679173864

MINUS

16822699634989797327123095165092932420211999031886

=

1522605027922533360535618378132637429718068114961269002114927712454444137921943743047122116680141978

DIV

(original f)

=

90508958785404646727768502043507036116239897963555

n=

14387588531011964456730684619177102985211280936

Nope. Moving pieces again.

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07f452 No.11929

>>11928

The blackpills have been fucking obnoxious lately. -_-

Glad to see people finally waking up to the possibility of "oh shit", but they shoulda done that years ago like the sane people did.

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e9c28a No.11930

>>11929

Well, when you're raised on Star Wars and LOTR, you can deal with setbacks or temporary defeats.

"Luke, I AM YOUR FATHER""

"NOOOOOOOOOOOOOOOOO"

I like Ewoks dancing while the Death Star explodes.

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6a2de9 No.11931

>>11924

Ok, need a bit more time, will check back in shortly.

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e9c28a No.11932

File: c59d8b2f2f6bdac⋯.gif (76.9 KB,220x119,220:119,tenor.gif)

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e9c28a No.11933

File: a16c6593016d149⋯.gif (694.42 KB,251x256,251:256,giphy.gif)

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e9c28a No.11934

File: 653ccfdcb8dd632⋯.gif (581.85 KB,496x211,496:211,giphy_1_.gif)

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07f452 No.11935

YouTube embed. Click thumbnail to play.
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e9c28a No.11936

>>11931

MM, what theory(s) are you pursuing in (-f,1) and (e,1)?

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e9c28a No.11937

>>7423

REMEMBER, take d from all values of d[t] at (e,1) and there is a known patter of (n-1) as factor in these values of d[t]-d that is different (increasingly) from the pattern of factors of n in a[t]. It is THIS that gives the offset that is used to solve the problem and thus get the cell at (e,1) to do all the work for you.

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e9c28a No.11938

>>11936

>>11937

I'll give another look. Sometimes things are hidden in plain sight.

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e9c28a No.11939

What do we REALLY know about (-f,1) and (e,1)?

locations of a(n-1) and (an) are equal t values.

locations of b(n-1) and (bn) are offfset by one t value.

(na transform) is the dividing line.

What about "c root of (d)"

For (e,1) all we need is a movement value from (e na transform) or (-f na transform) to (an) a(n-1)(bn) or b(n-1).

Circling back to good ideas that need work.

The solution is as close as it's ever been.

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e9c28a No.11940

>>11939

Where do we get the "movement" value?

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6a2de9 No.11941

File: 49acc6cdf7da5b5⋯.png (105.56 KB,891x767,891:767,e1_enumeration.png)

>>11936

This actually: >>11937 Was going off the orig post. I took the d from the d[t]'s and got the "shift" between the e and f sides.

That makes it easy to do a gcd straight across the line element for element (the nb's are shifted one additional element) between e and f. Seems like a win, but already had that one cracked another way without the t_offset, and in the end, it's still a search and not a lookup (granted with big hops, but still not a calculation, so doesn't scale well enough).

Actually, you just wrote that as I read down!:

>>11939

>locations of b(n-1) and (bn) are offfset by one t value.

Right, so for 6107 the an t_shift is 7, and the bn t_shift is 8.

But, all that with finding the shifts? Wrote 'shit shit shit' in notes, because after getting it working in code ( >>11918 )

, realized the x's grow at same rate on both sides, so couldn't use that, had forgotten already tried that in excel model. Have searched a bunch for the:

>different (increasingly) from ..

Think the second part of the sentence is important:

>.. the pattern of factors of n in a[t].

Figure if there's an a(n) and a(n-1) there, then behind the scenes, there is that product.

So took some known n's and did the n(n-1) products, to see what factors emerged. Did find something interesting there to pursue.

Should probably look into this one of AA's too: >>7319 (PB RSA13).

That said, row one is solid and am finding new patterns in there now by exercising it.

Did take a look at enumerating Column 1 so could give you the (1,c) you're after, but the patterns are more complex than expected (see pic).

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6a2de9 No.11942

>>11940

>Where do we get the "movement" value?

Good question. Can move within t's in (e,1), (f,1) to get to a target d, x, a, n, or c. Then, if the t doesn't land on the target integer in let's say an, or bn, can then shift within e to bring that to a desired target. So basically, finding ways to move (for example, a change of 2 in e or f, increases or decreases a or b by one unit for the same t in the new cell).

The issue is, what is the target to move to? Haven't found anything solid for targets. Mulling over ONE crumb related to this, having to do with the shift topic in previous post.

Up for a night of bouncing ideas if you're available, but going to need to go on a hiatus soon get some IRL shit done.

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6a2de9 No.11943

>>11939

>What do we REALLY know about (-f,1) and (e,1)?

>▶VQC!!/aJpLe9Pdk 07/30/18 (Mon)

>>7047 (PB RSA#13)

>//Calculate the value at (e,1), where x=f or x=f-1

We find that on the f side of grid, d and a are consecutive triangular numbers.

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07f452 No.11944

File: c6de6ed3c1651e0⋯.jpg (376.18 KB,866x692,433:346,88fc6e458f42dd69f330d8d220….jpg)

In light of the Stonks and general fuckery going on all around us…

Who else here is rejuvenatedly motivated to finish this and knock it outta the park?

Fuuuuuck "To The Moon".

We deal in no less than 7 Dimensions.

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038639 No.11945

File: f1bc9df22506252⋯.jpg (26.78 KB,500x278,250:139,Go_to_jail.jpg)

File: ff794565b2ef19d⋯.jpg (82.37 KB,463x720,463:720,Art_Of_No_Deal.jpg)

File: ded8b3147dc33db⋯.jpg (29.03 KB,463x642,463:642,Q_We_The_People.jpg)

File: 7d79d8731c06729⋯.jpg (46.75 KB,640x960,2:3,Boys_and_girls.jpg)

>>11944

You know I'm down. Let's do this.

>>11943

Hello MM! Great crumb. I'll get to work in the Grid now. I have 3-4 hours to work now. Anyone who would like to join is welcome. Let's collaborate and cook up some good ideas.

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6a2de9 No.11946

>>11944 Noice digits and pic.

>>11945

>Let's collaborate and cook up some good ideas.

Ok, am in for a few as well.

Before putting my own plan and 'directions to go', do you two have any progress to share by others? Been crickets for a while, any movement/effort, or all in a waiting mode?

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038639 No.11947

File: 0e51ffad74f6f8c⋯.png (12.24 KB,163x254,163:254,Screen_Shot_2021_01_27_at_….png)

>>11943

Ok MM, here's some fun shit. For bantz and shitz lol.

However, this method is new and I'll be testing tonight on larger c's

So for c145

If we make x equal to f or f-1, it makes for some interesting calcs

See attached screenshot.

for (e,1) x= 23 = f-1 = (24-1) = 23

We get an a value of 265.

265 - c = 265 - 145 = 120

145- 120 = 25

sqrt (25) = n = 5

so when we set x = f or f-1, we get an a value that we can subtract c from.

Then we subtract that value from c.

The square root of what's left over is n.

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038639 No.11948

File: 0e51ffad74f6f8c⋯.png (12.24 KB,163x254,163:254,Screen_Shot_2021_01_27_01.png)

>>11947

Are images down on the board?

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038639 No.11949

>>11948

I guess not. Here's the element record I'm referencing.

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6a2de9 No.11950

>>11948

Perhaps, been trying to look at yours and just see gray rectangles for >>11947 and >>11948. Saw image from Tops earlier, but not displaying now, ok, only thumbnail is broken, can expand or open it in new tab. Perhaps it's just the .png's? your jpegs in >>11945 are working?

>>11949 Can't see that, try a jpeg for kicks?

Any comment on work others are doing, or is it us to the finish?

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038639 No.11951

>>11946

I love new ideas, and whether it tests out or not for larger c's), this >>11947 is good thinking. We gotta get the creative juices flowing! Brainstorming ideas over here.

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038639 No.11952

>>11950

>is it us to the finish?

Can't say. But here we are. Let's get some work done.

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6a2de9 No.11953

>>11952

>Can't say.

Hmmm. Not too comfy.

Grab this paste, good for an hour, ef cols for 145:

https://pastebin.com/E80hGHX1

Do a paste in excel, and use ":" as the delimiter.

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038639 No.11954

>>11953

Let's do the x/f substitution for c 6107. Check the a value.

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6a2de9 No.11955

File: 728a7fce701f37b⋯.png (141.32 KB,1459x819,1459:819,c_145_shifted.png)

File: 36371d259a8be50⋯.png (162.37 KB,1539x708,513:236,c_145_triangular_fside.png)

>>11954

Already working on 145. Can "shift" to 6107 in a few. Did you get the paste?

Let me drop you some 145 info here for you first.

The t-offset is 3. The d and a triangular hold for this in f where x=24 (there are quite a few triangular numbers in the neighborhood, as the numbers are so small, even with 6107 you'll see the same, just not as dense, larger numbers they get SPARSE!).

Here is 145 laid out with the shifts, and the solutions rows highlighted, as well as the t=f row in magenta.

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6a2de9 No.11956

File: 17359edf450fcb1⋯.png (120.59 KB,1174x741,1174:741,c_145_solution_first_partn….png)

File: a40314f56016e25⋯.png (67.83 KB,1155x701,1155:701,c_145_MirrorPartnerCells.png)

File: d56ce4984ed352b⋯.png (89.4 KB,751x703,751:703,c_145_BigNyellow_CmultTooF….png)

File: 7967d6b4087cb8a⋯.png (45 KB,572x353,572:353,c_145_BigN_eside.png)

File: c73e25f10d9277a⋯.png (121.13 KB,1066x709,1066:709,145_grid_solution.png)

>>11955

>>11947 continuing on 145, with the partner cells, obtained by multiplying 'c' by 4, 9, 16… and the 'a' by 2, 3, 4, …

Note the patterns.

Each side grows according to a pattern, always shifted by n=5 down. Mirror is the (0,0) origin cell. On e-side, the n-jumps grow by 2 each time, so start 2n to the right and 5 down (4, 10), then (9,15), (16, 20), etc. If you do a gcd on the corresponding element for any partner, your factors falls out. This stops when you get to the "Dead End" of (64, 40), as the gcd there is 145.

On the f-side, starting with solution record of (-24, 4), it goes (-45, 9), (-64, 14), (-81, 19), etc. Always the first element in this case. (-129, 39) should be the dead end there (may not be a dead end, but can't do simple gcd).

This forms a CURVE for the cells on each side (quadratic).

The BigN partner (yellow in image, generated by shifting 2n to right so 1+2*61, same row - perhaps needed to go down? Should look 5 down from that one for 68 for that e) doesn't intersect on a cell.

Images should clarify. This is a way to walk the grid, if you know n.

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6a2de9 No.11957

>>11956

Just one of the multiplied "sister cells" in pics.

Here is the list:

## Grid values for c_145

c = big(145)

e = big(1)

n = big(5)

d = big(12)

x = big(7)

a = big(5)

b = big(29)

f = big(-24)

c_string = c_145

## BigN Grid values for c_145 where a=1:

nN = big(61)

xN = big(11)

aN = big(1)

bN = big(145)

"""

"""

## Grid values for 145c_4

c = big(580)

e = big(4)

n = big(10)

d = big(24)

x = big(14)

a = big(10)

b = big(58)

f = big(-45)

c_string = 145c_4

## BigN Grid values for 145c_4 where a=1:

nN = big(266)

xN = big(23)

aN = big(1)

bN = big(580)

"""

"""

## Grid values for 145c_9

c = big(1305)

e = big(9)

n = big(15)

d = big(36)

x = big(21)

a = big(15)

b = big(87)

f = big(-64)

c_string = 145c_9

## BigN Grid values for 145c_9 where a=1:

nN = big(617)

xN = big(35)

aN = big(1)

bN = big(1305)

"""

"""

## Grid values for 145c_16

c = big(2320)

e = big(16)

n = big(20)

d = big(48)

x = big(28)

a = big(20) #a*4

b = big(116)

f = big(-81)

c_string = 145c_16

## BigN Grid values for 145c_9 where a=1:

nN = big(1112)

xN = big(47)

aN = big(1)

bN = big(2320)

"""

"""

## Grid values for 145c_25

c = big(3625)

e = big(25)

n = big(25)

d = big(60)

x = big(35)

a = big(25)

b = big(145)

f = big(-96)

c_string = 145c_25

## BigN Grid values for 145c_25 where a=1:

nN = big(1753)

xN = big(59)

aN = big(1)

bN = big(3625)

"""

"""

## Grid values for 145c_36

c = big(5220)

e = big(36)

n = big(30)

d = big(72)

x = big(42)

a = big(30)

b = big(174)

f = big(-109)

c_string = 145c_36

## BigN Grid values for 145c_36 where a=1:

nN = big(2538)

xN = big(71)

aN = big(1)

bN = big(5220)

"""

"""

## Grid values for 145c_49

c = big(7105)

e = big(49)

n = big(35)

d = big(84)

x = big(49)

a = big(35)

b = big(203)

f = big(-120)

c_string = 145c_49

## BigN Grid values for 145c_49 where a=1:

nN = big(3469)

xN = big(83)

aN = big(1)

bN = big(7105)

"""

"""

## Grid values for 145c_144_a1

c = big(20880)

e = big(144)

n = big(10296)

d = big(144)

x = big(143)

a = big(1)

b = big(20880)

f = big(-145)

c_string = 145c_144_a1

## BigN Grid values for 145c_144_a1 where a=1:

nN = big(10296)

xN = big(143)

aN = big(1)

bN = big(20880)

"""

"""

## Grid values for cN_145

c = big(145)

e = big(1)

n = big(61)

d = big(12)

x = big(11)

a = big(1)

b = big(145)

f = big(-24)

c_string = cN_145

## BigN Grid values for cN_145 where a=1:

nN = big(61)

xN = big(11)

aN = big(1)

bN = big(145)

"""

"""

## Grid values for cN4_145

c = big(580)

e = big(4)

n = big(122)

d = big(24)

x = big(22)

a = big(2)

b = big(290)

f = big(-45)

c_string = cN4_145

## BigN Grid values for cN_145 where a=1:

nN = big(266)

xN = big(23)

aN = big(1)

bN = big(580)

"""

"""

## Grid values for cN9_145

c = big(1305)

e = big(9)

n = big(183)

d = big(36)

x = big(33)

a = big(3)

b = big(435)

f = big(-64)

c_string = cN9_145

## BigN Grid values for cN9_145 where a=1:

nN = big(617)

xN = big(35)

aN = big(1)

bN = big(1305)

"""

"""

## Grid values for cN16_145

c = big(2320)

e = big(16)

n = big(244)

d = big(48)

x = big(44)

a = big(4)

b = big(580)

f = big(-81)

c_string = cN16_145

## BigN Grid values for cN16_145 where a=1:

nN = big(1112)

xN = big(47)

aN = big(1)

bN = big(2320)

"""

"""

## Grid values for cN25_145

c = big(3625)

e = big(25)

n = big(305)

d = big(60)

x = big(55)

a = big(5)

b = big(725)

f = big(-96)

c_string = cN25_145

## BigN Grid values for cN25_145 where a=1:

nN = big(1753)

xN = big(59)

aN = big(1)

bN = big(3625)

"""

"""

## Grid values for cN49_145

c = big(7105)

e = big(49)

n = big(427)

d = big(84)

x = big(77)

a = big(7)

b = big(1015)

f = big(-120)

c_string = cN49_145

## BigN Grid values for cN49_145 where a=1:

nN = big(3469)

xN = big(83)

aN = big(1)

bN = big(7105)

"""

"""

## Grid values for cN_145_d12 - Not a Valid Cell - didn't multiply c by 144, only 12, so that a doesn't work:

c = big(1740)

e = big(59)

n = big(37)

d = big(41)

x = big(29)

a = big(12)

b = big(145)

f = big(-24)

c_string = cN_145_d12

## BigN Grid values for cN_145_d12 where a=1:

nN = big(829)

xN = big(40)

aN = big(1)

bN = big(1740)

"""

"""

## Grid values for cN_145_d12c144

c = big(20880)

e = big(144)

n = big(732)

d = big(144)

x = big(132)

a = big(12)

b = big(1740)

f = big(-145)

c_string = cN_145_d12c144

## BigN Grid values for cN_145_d12c144 where a=1:

nN = big(10296)

xN = big(143)

aN = big(1)

bN = big(20880)

"""

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6a2de9 No.11958

File: 122edfaf1bdf46b⋯.png (49.73 KB,502x402,251:201,c_145x36_GridCell.png)

File: d105934454b4297⋯.png (25.63 KB,489x374,489:374,c_145x36.png)

>>11957

Images didn't post, odd.

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6a2de9 No.11959

File: c6621e41d16cb66⋯.png (156.66 KB,1185x704,1185:704,c_203.png)

>>11957

>>11956

You may find it useful to validate with another example. AA used c_203 a few times, here are some cells:

"""

## Grid values for AA3_c203

c = big(203)

e = big(7)

n = big(4)

d = big(14)

x = big(7)

a = big(7)

b = big(29)

f = big(-22)

c_string = "AA3_c203"

## BigN Grid values for AA3_c203 where a=1:

nN = big(88)

xN = big(13)

aN = big(1)

bN = big(203)

"""

"""

## Grid values for AA3_c203_4

c = big(812)

e = big(28)

n = big(8)

d = big(28)

x = big(14)

a = big(14)

b = big(58)

f = big(-29)

c_string = AA3_c203_4

## BigN Grid values for AA3_c203_4 where a=1:

nN = big(378)

xN = big(27)

aN = big(1)

bN = big(812)

"""

"""

## Grid values for AA3_c203_9

c = big(1827)

e = big(63)

n = big(12)

d = big(42)

x = big(21)

a = big(21)

b = big(87)

f = big(-22)

c_string = AA3_c203_9

## BigN Grid values for AA3_c203_9 where a=1:

nN = big(872)

xN = big(41)

aN = big(1)

bN = big(1827)

"""

"""

## Grid values for AA3_c203_16

c = big(3248)

e = big(112)

n = big(16)

d = big(56)

x = big(28)

a = big(28)

b = big(116)

f = big(-1)

c_string = AA3_c203_16

## BigN Grid values for AA3_c203_16 where a=1:

nN = big(1568)

xN = big(55)

aN = big(1)

bN = big(3248)

"""

"""

## Grid values for AA3_c203_25

c = big(5075)

e = big(34)

n = big(19)

d = big(71)

x = big(36)

a = big(35)

b = big(145)

f = big(-109)

c_string = AA3_c203_25

## BigN Grid values for AA3_c203_25 where a=1:

nN = big(2467)

xN = big(70)

aN = big(1)

bN = big(5075)

"""

"""

## Grid values for AA3_c203_36

c = big(7308)

e = big(83)

n = big(23)

d = big(85)

x = big(43)

a = big(42)

b = big(174)

f = big(-88)

c_string = AA3_c203_36

## BigN Grid values for AA3_c203_36 where a=1:

nN = big(3569)

xN = big(84)

aN = big(1)

bN = big(7308)

"""

"""

## Grid values for AA3_c203_49

c = big(9947)

e = big(146)

n = big(27)

d = big(99)

x = big(50)

a = big(49)

b = big(203)

f = big(-53)

c_string = AA3_c203_49

## BigN Grid values for AA3_c203_49 where a=1:

nN = big(4875)

xN = big(98)

aN = big(1)

bN = big(9947)

"""

"""

## Grid values for AA3_c203_64

c = big(12992)

e = big(223)

n = big(31)

d = big(113)

x = big(57)

a = big(56)

b = big(232)

f = big(-4)

c_string = AA3_c203_64

## BigN Grid values for AA3_c203_64 where a=1:

nN = big(6383)

xN = big(112)

aN = big(1)

bN = big(12992)

"""

"""

## Grid values for AA3_c203_81

c = big(16443)

e = big(59)

n = big(34)

d = big(128)

x = big(65)

a = big(63)

b = big(261)

f = big(-198)

c_string = AA3_c203_81

## BigN Grid values for AA3_c203_81 where a=1:

nN = big(8094)

xN = big(127)

aN = big(1)

bN = big(16443)

"""

"""

## Grid values for AA3_c203_100

c = big(20300)

e = big(136)

n = big(38)

d = big(142)

x = big(72)

a = big(70)

b = big(290)

f = big(-149)

c_string = AA3_c203_100

## BigN Grid values for AA3_c203_100 where a=1:

nN = big(10008)

xN = big(141)

aN = big(1)

bN = big(20300)

"""

"""

## Grid values for AA3_c203_121

c = big(24563)

e = big(227)

n = big(42)

d = big(156)

x = big(79)

a = big(77)

b = big(319)

f = big(-86)

c_string = AA3_c203_121

## BigN Grid values for AA3_c203_121 where a=1:

nN = big(12126)

xN = big(155)

aN = big(1)

bN = big(24563)

"""

"""

## Grid values for AA3_c203_144

c = big(29232)

e = big(332)

n = big(46)

d = big(170)

x = big(86)

a = big(84)

b = big(348)

f = big(-9)

c_string = AA3_c203_144

## BigN Grid values for AA3_c203_144 where a=1:

nN = big(14446)

xN = big(169)

aN = big(1)

bN = big(29232)

"""

"""

## Grid values for AA3_c203_169

c = big(34307)

e = big(82)

n = big(49)

d = big(185)

x = big(94)

a = big(91)

b = big(377)

f = big(-289)

c_string = "AA3_c203_169"

## BigN Grid values for AA3_c203_169 where a=1:

nN = big(16969)

xN = big(184)

aN = big(1)

bN = big(34307)

"""

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6a2de9 No.11960

>>11954

BTW, nice fresh ID you scored tonight: 038639 (it's prime)

>Let's do the x/f substitution for c 6107. Check the a value.

ae = 8856; af = 8911

What's your status VA?

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038639 No.11961

>>11960

Hey MM! Sorry man, fell asleep. Exhausted. Checking in now.

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038639 No.11962

>>11956

>The BigN partner (yellow in image, generated by shifting 2n to right so 1+2*61, same row - perhaps needed to go down?

Cool, this exactly what I was talking about last week! Your graphics are super clear and helpful.

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038639 No.11963

Your format for displaying elements includes (d+n) and (x+n) after the standard element vars? Nice, helpful addition.

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6a2de9 No.11964

File: 8b77b505b639a54⋯.png (252.14 KB,1857x862,1857:862,c6107_mantissasVA.png)

>>11962

No worries, had some Covfefe earlier here.

Did you run the 'a' number through your method?

Did you get the 145 paste downloaded? (Not answering questions VA…)

Some reciprocals for you to play with..

Want more graphics?

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038639 No.11965

>>11956

>Each side grows according to a pattern, always shifted by n=5 down.

>This is a way to walk the grid, if you know n.

Yes, I downloaded the 145 paste, thank you MM! Sorry , not ignoring your questions. I studied all the output you provided. I'm still trying to figure out what happens when we set x=f or x=(f-1)

On another note, if you can find the n=5 shift with only the starting variables, you've solved the problem. That's why I was working backwards from BigN. Any ideas about how we could reverse engineer it?

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038639 No.11966

>>11964

Dang MM!! Thanks for checking out the mantissa idea. Is your program generating these values, or did you create this by hand? I studied it closely, and can see the matches. However, do you see a path to using it for the theta x ideas? If we can find that mantissa (which Chris hinted is possible), then we can basically iterate even for a huge RSA sized number.

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6a2de9 No.11967

>>11965

Ok, lemme know if you want 6107 output.

Yes, looking for relationships via reversing, starting with the end and working backwards.

I prototype in excel, and then code it when there's something useful (like the shift, or looking up grid coordinates for target values, etc.).

It's very helpful to play with bigger "smaller" numbers, but within limits of excel (think +E15 or somewhere up there it breaks as numbers too large, tested a while ago but not lately.). So, find a pattern, then scale it up. 6107 is a bit small, just fall back on that one for quick checks.

At larger scales, some things change as well. Small shifts (drifts) mean for RSA sized numbers, when you arrive you're lost if not spot on.

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6a2de9 No.11968

File: 750110463d76799⋯.png (75.76 KB,924x549,308:183,c_259_cell.png)

>>11967

Also, automating "Test Cases" for smaller numbers when checking basic patterns.

Seeing that those in a cell likely belong to similar (or intersecting?) curves. So here is our old 259, 7*37, cell (3,6).

Let's say we want to pull out the prime pairs from cell and use as test cases. Have a tool that does that, can put them into an array, and loop over the test cases (almost implemented code part).

Here are test cases generated from that cell. Any cell only takes a couple minutes to get this list. For now, just edit the # out and that case is live, running all functions. (This list is trimmed for the post, body too long otherwise)

# TEST CASES for e = 3, n = 6

c_259 = 259

a_259 = 7

c_string_c_259 = "c_259_(e3_n6_t1)_a7_b_37"

# c = c_259

# a = a_259

# c_string = c_string_c_259

#

c_259x4 = 1036

a_259x4 = 14

c_string_c_259x4 = "c_259x4_(e3_n6_t1)_a7_b_37"

# c = c_259x4

# a = a_259x4

# c_string = c_string_c259x4

#

c_259x9 = 2331

a_259x9 = 21

c_string_c_259x9 = "c_259x9_(e3_n6_t1)_a7_b_37"

# c = c_259x9

# a = a_259x9

# c_string = c_string_c259x9

#

c_259x16 = 4144

a_259x16 = 28

c_string_c_259x16 = "c_259x16_(e3_n6_t1)_a7_b_37"

# c = c_259x16

# a = a_259x16

# c_string = c_string_c259x16

#

c_259x25 = 6475

a_259x25 = 35

c_string_c_259x25 = "c_259x25_(e3_n6_t1)_a7_b_37"

# c = c_259x25

# a = a_259x25

# c_string = c_string_c259x25

#

c_259x49 = 12691

a_259x49 = 49

c_string_c_259x49 = "c_259x49_(e3_n6_t1)_a7_b_37"

# c = c_259x49

# a = a_259x49

# c_string = c_string_c259x49

#

c_259x64 = 16576

a_259x64 = 56

c_string_c_259x64 = "c_259x64_(e3_n6_t1)_a7_b_37"

# c = c_259x64

# a = a_259x64

# c_string = c_string_c259x64

#

c_1159 = 1159

a_1159 = 19

c_string_c_1159 = "c_1159_(e3_n6_t2)_a19_b_61"

# c = c_1159

# a = a_1159

# c_string = c_string_c_1159

#

c_1159x4 = 4636

a_1159x4 = 38

c_string_c_1159x4 = "c_1159x4_(e3_n6_t2)_a19_b_61"

# c = c_1159x4

# a = a_1159x4

# c_string = c_string_c1159x4

#

c_107587x64 = 6885568

a_107587x64 = 2168

c_string_c_107587x64 = "c_107587x64_(e3_n6_t9)_a271_b_397"

# c = c_107587x64

# a = a_107587x64

# c_string = c_string_c107587x64

#

c_217159 = 217159

a_217159 = 397

c_string_c_217159 = "c_217159_(e3_n6_t11)_a397_b_547"

# c = c_217159

# a = a_217159

# c_string = c_string_c_217159

#

c_217159x4 = 868636

a_217159x4 = 794

c_string_c_217159x4 = "c_217159x4_(e3_n6_t11)_a397_b_547"

# c = c_217159x4

# a = a_217159x4

# c_string = c_string_c217159x4

#

c_217159x9 = 1954431

a_217159x9 = 1191

c_string_c_217159x9 = "c_217159x9_(e3_n6_t11)_a397_b_547"

# c = c_217159x9

# a = a_217159x9

# c_string = c_string_c217159x9

#

c_217159x16 = 3474544

a_217159x16 = 1588

c_string_c_217159x16 = "c_217159x16_(e3_n6_t11)_a397_b_547"

# c = c_217159x16

# a = a_217159x16

# c_string = c_string_c217159x16

#

c_217159x25 = 5428975

a_217159x25 = 1985

c_string_c_217159x25 = "c_217159x25_(e3_n6_t11)_a397_b_547"

# c = c_217159x25

# a = a_217159x25

# c_string = c_string_c217159x25

#

c_217159x49 = 10640791

a_217159x49 = 2779

c_string_c_217159x49 = "c_217159x49_(e3_n6_t11)_a397_b_547"

# c = c_217159x49

# a = a_217159x49

# c_string = c_string_c217159x49

#

c_217159x64 = 13898176

a_217159x64 = 3176

c_string_c_217159x64 = "c_217159x64_(e3_n6_t11)_a397_b_547"

# c = c_217159x64

# a = a_217159x64

# c_string = c_string_c217159x64

#

c_3232807 = 3232807

a_3232807 = 1657

c_string_c_3232807 = "c_3232807_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807

# a = a_3232807

# c_string = c_string_c_3232807

#

c_3232807x4 = 12931228

a_3232807x4 = 3314

c_string_c_3232807x4 = "c_3232807x4_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807x4

# a = a_3232807x4

# c_string = c_string_c3232807x4

#

c_3232807x9 = 29095263

a_3232807x9 = 4971

c_string_c_3232807x9 = "c_3232807x9_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807x9

# a = a_3232807x9

# c_string = c_string_c3232807x9

#

c_3232807x16 = 51724912

a_3232807x16 = 6628

c_string_c_3232807x16 = "c_3232807x16_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807x16

# a = a_3232807x16

# c_string = c_string_c3232807x16

#

c_3232807x25 = 80820175

a_3232807x25 = 8285

c_string_c_3232807x25 = "c_3232807x25_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807x25

# a = a_3232807x25

# c_string = c_string_c3232807x25

#

c_3232807x49 = 158407543

a_3232807x49 = 11599

c_string_c_3232807x49 = "c_3232807x49_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807x49

# a = a_3232807x49

# c_string = c_string_c3232807x49

#

c_3232807x64 = 206899648

a_3232807x64 = 13256

c_string_c_3232807x64 = "c_3232807x64_(e3_n6_t23)_a1657_b_1951"

# c = c_3232807x64

# a = a_3232807x64

# c_string = c_string_c3232807x64

#

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000000 No.11969

I have been exploring the grid, looking for some new patterns and I found something that I hadn't thought of before and I don't know if it's been discussed.

I was playing with n-a and noticed that n-a and b-n' is mirrored (n = normal n, n' = shadow n). After looking at a few cells I saw a pattern where (e, n) describes this difference. It's something we kind of knew from (e, 1) cells. Column 1, row 1 represents the difference of n-a for column 3, row 1. I see the same pattern exists for all columns and rows.

Example, take (3, 6). There is a column where a' = n-a for (3, 6) and it exists at (-2nn + e, n). For this example it exists at (-69, 6). Here the a-values represent the difference between a and n from (3, 6). This also made me realize that (3, 6) represents the difference between a, n for (75, 6) (which is 2*6*6 + 3). So it's a movement where the values represent the differences between n and a.

Some properties of the elements in this column are (-2nn + e):

d' = d - n

n' = n'

x' = x'

i' = d

a' * b' = c - (x + n) - e

Another thing I noticed is that, since this column that contains this difference is defined by 2nn + e (or -2nn + e) that also means these columns are "mapped". Specifically in (-2e, 1). So if you look at (-6, 1, x=[2a]) you will see that 2nn exists there. Should be noted, I don't see how this directly helps us, but it made me think slightly difference about the contents of a cell. An element represents some value, but it also represents the difference for other values.

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07f452 No.11970

YouTube embed. Click thumbnail to play.

Something something March Madness something something

Gaiz… the timing on this is beautiful.

First the stonks go down and the fiats along with them

Everyone moves to Crypto.

We immediately show them it's just the same game, different deck.

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b3552b No.11971

File: 16aaa0950296fea⋯.png (119.46 KB,1254x622,627:311,Screen_Shot_2021_01_29_01.png)

Hello Lads! Happy Friday to all of you wonderful faggots.

Here's some new work on the delta f = 2(n-1) vs delta e=2n idea. Love working on collapsing the Cabal with Excel.

Fuck MS and Bill Gates. Let's get these bastards.

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b3552b No.11972

#gamestronk lol

The Free People are rising up. Let's work on finishing this.

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b3552b No.11973

File: 8f04a23d75a37d3⋯.jpg (119.38 KB,1240x630,124:63,Screen_Shot_2021_01_29_at_….jpg)

Trouble uploading. Here's a jpg.

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b3552b No.11974

File: 477501823ed9238⋯.jpeg (19.8 KB,522x257,522:257,EozXblCXMAIdUqt.jpeg)

Ahhhh. I wonder why it won't upload.

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c4cb31 No.11975

>>11969

There’s an infinite amount of those. Same way any transformation on the left of an equation makes a different pattern on the right.

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b3552b No.11976

File: e3f13a8971e6637⋯.jpg (141.24 KB,1247x683,1247:683,Screen_Shot_2021_01_30_01.jpg)

>>11763

>This is the important one. The change in ratios. You can have all the theories you want or need and without having examples of rates of change, you cannot test.

>First reaction is look at what has changed much and what hasn't much. f and e have changed by multiples of x+2n, and in an environment where that's one of moduli, the fact that f and e are changing the most, well, treat every new piece of interest with caution.

>There is a ratio of things we know. At first I thought it might be one of those ones that bounce round values (orbit) until they settle on the right value (hint).

>>11765

>It was hard to construct (x+n)(x+n) from e and d, then we knew it was f.

>Then taking care of the n square in the corner was the WORST.

>Then with moduli x and (x+2n) we removed the need for the corner n square without removing it's function as a check.

>Then we discovered the self similarity of 2d to x and x+2n and nm1. This was MASSIVE because we had gain of function where we could a set of x and make it n with f or vice versa AND we could take a different set of x and make it n with x and vice versa.

>What is it? It is not as complicated as it sounds and it looks a bit like a Lorentz transformation from physics.

Alright lads, I'm working away over here. I can't get my screenshots to upload properly. However, here's some insights:

Moving 2n to the right in (e,n) gives us the same (x+n)^2 area, but different values of d and f.

d, a, and b increase by one.

We don't need to know (a) or (b) to solve the problem.

f changes by a pattern that I'm working to understand.

The change in f pops out 2(n-1) for every 2n movement to the right in the Grid.

This should give us enough info to solve the problem.

I have built out a spreadsheet breaking down all the components.

The formula to calculate 2(n-1) requires 2n (or an estimate of it? d approximates 2n pretty well in my smaller examples) Not quite sure on the estimate, but here's the formula:

f - (new f value) = 2(n-1)

f - ( 2(d+1)+1-(e+2n) ) = 2(n-1)

The cool thing about this is that since it's become a rate of change problem now, we can plug in our 2n estimate, and calculate (2n) / 2(n-1) which should approach closer and closer to 1 as we get nearer to the correct value of 2n. Almost like having a radar or something lol. Or a GPS tracking beacon.

Working away over here. Hopefully my screenshot will attach properly this time.

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b3552b No.11977

File: e3f13a8971e6637⋯.png (141.24 KB,1247x683,1247:683,Screen_Shot_2021_01_30_01.png)

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05e5fe No.11978

File: ec53e3a2d74711c⋯.png (185.49 KB,1708x493,1708:493,Screen_Shot_2021_01_30_02.png)

https:/ /en.wikipedia.org/wiki/Lorentz_transformation#Transformation_of_velocities

This part of the article seemed to correlate to what we're working on. Interesting article overall, and lots of cool diagrams.

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936764 No.11979

File: 92e2eedf47354d3⋯.png (99.01 KB,790x456,395:228,Old_Crumb_e_2n.png)

Here's a really old crumb from cbts days. Relevant, clearly chris posting without a trip.

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07f452 No.11980

File: 24ff27e515deebf⋯.jpg (195.21 KB,750x800,15:16,c6a0b7cea0f73e335091602493….jpg)

Image test…

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936764 No.11981

File: 7ce28bc368d4bc7⋯.png (142.98 KB,1240x684,310:171,Excel_Pepe_Plague.png)

Power to the Players.

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07f452 No.11982

File: 7ce28bc368d4bc7⋯.png (142.98 KB,1240x684,310:171,VA_Excel_Pepe_Plague.png)

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07f452 No.11983

File: 333c917935d3228⋯.png (142.18 KB,1243x720,1243:720,VA_DJT_Is_Your_President_C….png)

>>11982

hmmmmm….

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07f452 No.11984

File: 2d63a2c793b3ab4⋯.png (1009.07 KB,3101x1798,3101:1798,VAnocanmakefiles.png)

>>11983

And theeeeeen?

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936764 No.11985

>>11982

>>11983

Shitz getting fucky lol!

Hey White Hats, if you want us to hold off that's cool. Since this is routing thru DOD servers, there must be a reason you're cockblocking my images.

Post us a smiley face ":)" to hold.

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936764 No.11986

A few more ideas:

The ratio ends up being (2n) / (2(n-1) + 2) = 1

The further away from correct 2n, the further away from 1 the ratio is.

It’s like a homing beacon

The huge numbers are in the denominator of the ratio

So too small of an n value, ratio is less than 1, larger denominator

Too large of an n value, ratio is larger than 1, larger numerator

We can move digit by digit from left to right for our estimate of 2n, adjusting each digit and checking to see if the change makes the ratio greater or less than one. Very similar to the binary search ideas.

This method modifies the problem into two rates of change, which can be divided to create a ratio which should equal 1 when the variables are correct.

2n / ( f - 2(d+1) + 1 - e + 2n + 2 ) = 1

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93ea6c No.11987

File: 1c5d51090576213⋯.png (1.69 MB,1000x1000,1:1,ClipboardImage.png)

File: 4ac0f3e5fde45e3⋯.png (1.44 MB,632x948,2:3,ClipboardImage.png)

File: c8b27f59d79036e⋯.png (1.63 MB,671x895,671:895,ClipboardImage.png)

File: 7b9eea344ed5bda⋯.jpg (6.42 MB,4656x3492,4:3,DivinePoetry.jpg)

File: c95e576e636ae80⋯.jpeg (1.03 MB,2730x4096,1365:2048,BleedingThrough.jpeg)

>>11922

>>11922

^^^checked and blessed.

forgot my trip,

dont give a shit.

dont give a sheeeeeeit

I See A Puzzle That

Puts ItSelf Together And

Winds that Blow With No Breeze

Who Am I?

What Am I?

But; Simply

At Ease.

>>11970

I'm feeling where you're going with this.

Because its all fucking Math.

Its ALL one GLORIOUS, INFINITE, EQUATION.

i.e. ONE NAME

BEING

BREATHED INTO SONG, EVERLASTING.

Blessings to God in The Highest.

lets not shit on the short sighted WSBs and /biz/fags of the world though. You can't blame anyone for getting caught up in the "money" aspect.

Fiat/Crypto, etc etc etc. Its all just the manipulation of math to give "Power" to "Some" rather than "All"

Everything we have witnessed up until The End, was all the manipulation of Infinite/Eternal/ "Truth" to bestow perceived "Power" to "Some" rather than GIVE REAL POWER, I.E. TRUTH, TO ALL.

many blessings to a most royal and most blessed Sangha.

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93ea6c No.11988

File: ce3089970284788⋯.png (1.64 MB,949x633,949:633,ClipboardImage.png)

>>11987

i forgot to bring it all back how i meant to in that post^^^^

fucking Sonoluminescent powered desktop computers.

"Let YourSelf Be Huge"

Do I Right Now,

Or Will I Wait?

and feel the space between

All That is Loved,

This Most Blessed Place.

A Kingdom,

breathing through the branches,

A Story

woven with blood,

bleeding avalanches.

bonds made from Love.

a wetness in the air,

Snow From Above.

Do i write now?

or did i wait?

What is "Right Now"?

This Most Blessed Place.

Both Greater Than and Equal, Too,

Orbit Through: Outer Space.

And thats a Whole…

Well….

a mother story.

There will Always Be,

more than Just my hands,

strumming through your hair.

playing on the strings,

whispered through the air.

A Timeless Evening,

A Time…..less evening,

something warmer,

something more,

mo(u)rning.

The Bear hath hibernate,

dedicate, and recombinate.

Re-solve, Once & For All, & with a Mighty Sparrow,

Forever Leave The Cave.

Did I, Write Now?

Or Will I Wait?

and filll the space between.

-

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93ea6c No.11989

File: ee9d48a90247e11⋯.png (1.05 MB,1106x542,553:271,ClipboardImage.png)

File: 7658620df51b1f0⋯.png (434.88 KB,500x500,1:1,ClipboardImage.png)

To Remember

Is

To Understand

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93ea6c No.11990

its 5:11am cst

January 31, 2021

And it is currently, very upsetting to me.

that "QVC" has been bastardizing the lovely arrangement of the 3 letters " V Q C" for my entire human life.

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936764 No.11991

>>11984

Thanks Tops!

A couple of interesting notes on the spreadsheet:

The first set of green highlights shows that 2d(n-1) +f stays constant when the components of the (x+n)^2 area change.

The third highlighted area shows that the following is true:

2d(n-1) + f = 2xn + xx + 1

This seems to me like it may be useful for exploring the theta x ideas. MM?

Anyhow, just having fun exploring all the pieces of the puzzle and how they fit together.

For the first example c145, here's the details:

96 + 24 = 104 + 16

delta f = 8 = 2(n-1)

delta e = 10 = 2n

(n-1) = 4

n = 5

For the second example c6107, here's the details:

5460 + 134 = 5530 + 64

delta f = 70 = 2(n-1)

delta e = 72 = 2n

(n-1) = 35

n = 36

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dbb02c No.11992

File: e440037d8fe4aec⋯.png (32.11 KB,589x276,589:276,Screen_Shot_2021_01_31_at_….png)

>>11991

Here's some more work. Anons please take a look.

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dbb02c No.11993

So I was playing with Ratios and made a solid discovery.

It needs to be tested more, but I think I may have figured out how to find the Mantissa that would allow for the theta x solution.

small example first:

c6107

2d = 156

f = 134

2d / f = 1.1641791044776

So our k value = 0.1641791044776

Then I noticed the following:

2d/x = 3.31915

(x+2n)/(n-1) = 3.4000

So then I multiplied k by 2, and bam it's almost exactly our Mantissa value! No clue why this worked, just observing and looking for patterns.

2k = 0.1641791044776 * 2 = 0.32836

156 / (3 + 0.32836) = 46.8699 = 47 = solution x

Starting only from c, we would find 2k, then plug it into this formula, and iterate y until we get a lock:

156 / (y + 0.34586) = solution x

156 / (3 + 0.34586) = 46.8699

So then I worked through the RSA100 example, and found more cool stuff. This time i didn't have to multiply k by 2, don't know why that changed.

RSA100 example:

2d =

78041143710802531024579146678968742037810013800388

f =

16822699634989797327123095165092932420211999031886

actual 2d/x =

74.65595038420704335515

2d / f = k

4.63903805002162256178

2d / ( y + 0.63903805002162256178) =

2d / (74 + 0.639038050021622561780 = potential solution x

my big integer calculator got this value:

1045580781179158335757009661335063710850433977531

actual x value:

1045343918457591589480700584038743164339470261995

PMA, AA, MM obviously we're in the ballpark (only off by a few trillion trillions lol), but is this close enough to use the rm2d(n-1) formulas to get a lock? My first thought is no, but maybe this solution path is meant to get us close enough that another piece of the puzzle can close the gap. Any thoughts guise?

And then here's me running the actual 2d/x calculation backwards (with 20 decimal places for the mantissa) to see if we can actually get the correct x with this many decimal places in the mantissa:

actual 2d/x =

74.65595038420704335515

re-warmed x

1045343918457591589480823277215788861960073046169

actual x value:

1045343918457591589480700584038743164339470261995

So you guys can see we probably need as many decimal places as possible.

here's 2d/x with 50 decimal places:

74.65595038420704335515876245183644403985314176160965

Sure enough, we get an accurate x value with this one.

re-warmed x:

1045343918457591589480700584038743164339470261995

actual x value:

1045343918457591589480700584038743164339470261995

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b3ed19 No.11994

File: c5b2ddc7e82650c⋯.jpeg (437.9 KB,383x500,383:500,37966E80_A790_4D2D_A6B6_6….jpeg)

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6a2de9 No.11995

>>11993

Good stuff VA. Like the bit on decimal place precision and getting to accurate x.

Going to hack away a bit this evening, will try and run you scenario through the test number I've been using the most. Currently doing some triangle n0 backasswards trials with that atm. That and just playing with Prime Families and grid patterns.

Not sure what's up with images, can't see your latest post images since >>11971

but could see Tops "enhance" version ( >>11984 ).

>>11994 this freshy from today comes through.

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42e28e No.11996

File: 3f97e66300879f0⋯.png (104.89 KB,590x650,59:65,rsa100_ratio_analysis.png)

>>11993

I haven't messed with the rm2d(n-1) thing but I've been working on this same type of thing behind the scenes (I haven't posted anything because I haven't found anything). I haven't managed to find the mantissa from any set of knowns. I'm pretty sure he said last thread that we're meant to be able to find the exact number, not just something close to it. I would be very surprised if using an incorrect number would work (especially for big numbers). You would also need to find 74, and he did provide a very vague explanation of how he got to 74 last thread (which I couldn't figure out how to apply to any other RSA number, and which barely even made sense when applied to RSA100 (he was also incorrect about the number of n-1 triangles in d(n-1) for RSA100)), but I think he also did say you could just iterate since the number is so low (but that also implies it isn't a direct calculation, and the growth of this number in relation to c would have to be logarithmic for this principle not to be counteracted by just increasing the size of the number).

I'd recommend only looking at RSA-sized numbers for this mantissa stuff by the way. I don't have the time right this second to put together a picture showing this but the number of decimal places for which the 2d/x and x/n ratios are equal correlates with the size of c (for small examples it only tends to be a couple of decimal places, or for really small cs it's none at all, for example c559=13x43). Someone else already said it back when he was posting about it but this is probably what he meant about patterns emerging at scale.

Another thing I think would be useful to look into would be drawing all of these things out geometrically to see if anything emerges. He described everything based around squares and triangles and shapes with one missing and stuff. I haven't figured out how it would all work geometrically but it could potentially explain some things considering 2d/x etc could possibly be described as rectangles or areas whatever.

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403099 No.11997

>>11995

Thanks MM, let's keep working.

>>11996

>I'd recommend only looking at RSA-sized numbers for this mantissa stuff

Agreed.

>Another thing I think would be useful to look into would be drawing all of these things out geometrically to see if anything emerges.

Agreed.

AA, great post. Would you please post a text version here of your ratio(s) output? We should compile all the variables where they can be easily copypasta'd so we can hunt for the solution. Let's keep a running RSA100 list of all variables and ratios that can be updated and reposted for working and calculating.

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6a2de9 No.11998

>>11996

Nice post AA. Noticed same thing about the decimal precision and the ratios. Spent a fair bit of time with those posts a month back. Am not convinced they are from Chris btw.

At this point, have enough to dig into from solid old crumbs that there is no shortage of avenues to explore, plus free time for this is growing relatively shorter given other demands. Have been reviewing PMA's posts in #11 and #12 related to the triangle geometry and looking to refresh that process with latest work.

Would also like to explore GAnon's post from #15 on potential algorithm: >>8993 (PB)

>>11997 Good evening VA. Can't spend the night on this, but will put in a bit. Rather than new work, perhaps good to share a bit more about patterns noted, it could be interesting for others. Have just been chasing down old crumbs, which yields new insights. That and trying to work backwards, and see if there's some pattern to use in the process.

vqc >>6291 (PB)

>If you can, please go back over and write out the list of all the patterns common to every cell at n=1 (row 1).

>It applies to positive e.

>Look at the difference of patterns for columns in NEGATIVE e (I used to call these columns f).

Will pull up something noted recently doing some further enumeration.

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6a2de9 No.11999

File: e9b4c8457af9f76⋯.png (274.64 KB,1415x992,1415:992,e1_validCell_patterns_2dp1….png)

File: bccc602ce710398⋯.png (101.38 KB,755x972,755:972,OddGaussian_Pythagorean_Pr….png)

File: 86079bbf5a10e0b⋯.png (145.29 KB,996x882,166:147,archimedes_spiral.png)

File: 60164861da2e768⋯.png (135.6 KB,1095x759,365:253,archimedes_spiral_quadrant….png)

>>11888

Mentioned trying to enumerate patterns in e1. Looked at all the base values for valid cells from the grid.

Apart from interesting patterns such as (2d+1) from (1,1) determining valid n-values, as well as 'a' in (1,1), there is also the old idea of Pythagorean and Odd Gaussian Primes, as types. Recall these can be quickly spotted based on their ending binary digits, and are of the form (4k+1) or (4k-1).

Col e=1 has ONLY the Pythagorean primes (believe it was Col e=2 that will have the Odd Gaussian).

Pics illustrate. Also pics related tie this to quadrants of the Archimedes Spiral, same thing.

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6a2de9 No.12000

File: 063857754a55a47⋯.png (234.65 KB,1856x987,1856:987,e17n1_factorDetail_a1.png)

File: 578397024b4874a⋯.png (265.13 KB,1862x989,1862:989,e17n1_factorDetail_a2.png)

File: 0664090c50bc2ec⋯.png (54.56 KB,507x557,507:557,e17n1_factorSummary.png)

>>11999

More recently, enumerating patterns in (17,1), noted a couple of other patterns. The Pythagorean Primes are here mixed with Gaussian, but with some bounds. Pics illustrate.

Also note the mod(6), which determines the first factor always being (3) for 0, 1, 3, and 4 mod(6) result.

If 'a' is Prime, it will be a Pythagorean, unless it's also a square (Power of 2 versus 1 for the factor), in which case it's a Gauassian.

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c05c6e No.12001

>>11998

>Am not convinced they are from Chris btw.

They're probably the same person who posted all of that algebra that I figured out simplified down to 0a^2+0a=0 when you input the knowns, because they used the same image creation app with the same watermark and they have the same speech mannerisms. The fact that this person found two division equations for which the decimal places are identical suggests that they at least know some things that we don't.

>>11997

>Would you please post a text version here of your ratio(s) output?

Here's what you see in the picture I posted for every solved RSA number https://pastebin.com/ReJ3M34g

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89b053 No.12002

There will be two signed messages or more, across all remaining unfactored RSA numbers.

The first and last will be alliance.

The middle will describe the revelation using 1 as the first and last (definition of odd numbers in binary)

After this, seven is mistranslated.

It is the three marks of seven in base two. The Mason's refer secretly to the 7th son of the 7th son, they used to any way.

They are referring to the third of the third. The Creation. Three marks is the translation back from binary 7 to scratch. The first and discussion are to ground in common tongue.

The complication of the Churches is in another vernacular, "my brother please, keep it simple."

Thus three horns, three moons. Third March. Creation.

Autistic people like me know its coming, I'm just saying it loud.

Our reality was created in the future and we're almost caught up.

How else would you do it?

God Design Patterns 101.

Auto Sandbox.

Get ready to leave the play pen.

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89b053 No.12003

To be semi-auth.

You do not understand integers.

Take the decimal point of RSA100.

Put it after the 1. Calculate the reciprocal.

Decimals.

Integers.

The are the same.

The Grid is the VQC for modular forms, elliptic curves, indefinite logs, and integer factorisation. It is the enumeration of x with e and n, and f-1, x+1, and n-1.

If you find the square root of f-1, and put that SQUARE on one side of an equation.

Do the same with e.

All the best tricks in equations happen between the steps you know.

Shapes. Not numbers.

Two a is to x, almost EXACTLY as x is to n.

Two d needs n-1, not n.

Modular maths needs a 'twist'. It produces the grid.

Looking up f and e give the answer.

Ultimately, they are all the same number in the universal coverage of the analytic continuation of the Riemanm Zeta function. Look at the first value.

How close to sqrt 2?

How close to e as in 2.7..

How close to 1.618…

Sometimes is not just a plastic bag blowing in the wind and that stoner is right.

You just have to remember.

You have to remember.

Remember.

They are all the same number.

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89b053 No.12004

Decimal points do not exist.

What would that mean?

Original Mathematics.

No More Secrets.

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89b053 No.12005

Its not about vaccines.

Its not about money.

It is about autism.

Autists are over represented in every partnership of an autist.

We gravitate male and female.

That is the emergence of a new uncontrollable species.

That's the war that ended.

We are infiltrated everywhere and we will take control, we are the chosen.

The race bait mate got a loicense was a sideshow.

Waiting for Autist Order 69.

Two fish.

Autists.

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89b053 No.12006

I guess the ultimate troll would be to put a glove on and be the puppet master, have some fun. Be great to get the final clingons.

It would be such a show.

Is there any evidence of that?

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89b053 No.12007

Rescue the final kids, etc.

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6d8dfb No.12008

File: 1189a2a68cd182c⋯.png (72.15 KB,769x457,769:457,RSA100_reciprocal_.png)

>>12003

>Take the decimal point of RSA100.

>Put it after the 1. Calculate the reciprocal.

For RSA100

1/1.15226050279225333605356183781326374297180681149613806886579084945801229632589528976540003506920061390

=

0.8678593057530974621500827977690969180758618502801184063201743836158753800135381102719111518867524208

>Ultimately, they are all the same number in the universal coverage of the analytic continuation of the Riemanm Zeta function. Look at the first value.

>How close to sqrt 2?

>How close to e as in 2.7..

>How close to 1.618…

sqrt(2)=

1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727

reciprocal e=

1/1.1522605027922533360535618378132637429718068114961302647514197692049098384112273928911962540678205752

=

0.8678593057530974621500827977690969180758618502801242842212772079254135084655928696253380271846875611

>If you find the square root of f-1, and put that SQUARE on one side of an equation.

>Do the same with e.

sqrt(f-1)=

4101548443574669925676268. 5079441062753375429317302277654753498862248827086012439551014173403464276703310298498647830149461714

4101548443574669925676268^2 =

16822699634989797327123090998378215387137138407824 ==>> close to 1.618…. ???

sqrt(e)=

39020571855401265512289573339484371018905006900193 .7844380690097295065668994143510358272167208492796608879166966053615917220989715963743871898927827994

39020571855401265512289573339484371018905006900193 ^ 2 =

1522605027922533360535618378132637429718068114961241429070121879315400928060760053102344942663437249

Be back later, Lads!

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6100a9 No.12009

>>12005

>>12006

Sometimes I wonder if you type this stuff out with the intention of actually communicating some idea or if you're doing it for a different reason, because I have no fucking idea what you just said.

On the off chance you come back soon enough to see this, I have a couple questions about what you said >>11711 here. I went through all of the stuff about finding double-theta n-1, and f-1 wasn't divisible by the number I ended up with. Would you mind maybe going over the double-theta n-1 stuff again to clarify? Pictures seem to be working now so maybe you can post them this time. Also double-theta n-1 doesn't seem to allow us to directly calculate any unknowns that lead to the solution (because the only equation you've given us involving double-theta n-1 involves two other unknowns, meaning we can't calculate either of them), so how does factoring f-1 (and therefore finding double-theta n-1) lead to the solution?

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6d8dfb No.12010

File: bb8a00c8f9aa00c⋯.png (47.04 KB,376x490,188:245,metallic_means.png)

>>12001

Hello AA, thanks for sharing the ratio(s) work. Saved it and added to my running list of RSA100 variables.

>>12003

MM had a great post about ratios >>11680

specifically, how to calculate the continued fractions that make up the metallic ratios.

So did GA >>11130

>I noticed that the final term in the repeated continued fraction was always twice a factor of the original number.

The part that stuck out to me in MM's post was the formula which can be used for any n value:

= (n + sqrt( 4 + n^2)) / 2

Here's the famous ones:

Golden Ratio n=1 ==>> (1 + sqrt(5)) / 2 = 1.6180…

Silver Ratio n=2 ==>> (2 + sqrt(8)) / 2 = 2.4142….

VQC mentioned continued fractions here >>11716

>The ratio between 2d and x, 2n+x and n-1 are the same…

>IT CAN BE EXPRESSED AS A CONTINUED FRACTION.

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111f56 No.12011

YouTube embed. Click thumbnail to play.

Check out this video lads.

I see some diagrams in here that match ours lol!

there's even a piece that matches the (n-1) cutout where e and f fit in.

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111f56 No.12012

File: cc51c5e6f4dfed1⋯.png (868 KB,1515x1006,1515:1006,EuclideanGCD.png)

>>12011

This guy is should be on this board lol. Check out his box that looks like the rectangle 2d(n-1) + f - 1 laid on its side.

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111f56 No.12013

so just for kicks, I'm going to run the 2d/x value through the equation I posted earlier, and solve for the missing variable. Not to be confused with our solution n!! Working backwards to see what pops out. This is just an attempt to play with the ratios and see what happens.

74.6559 = (n + (sqrt 4 + n^2)) / 2

74.6559503842070433551587624518364440398531417616096551627073644105292384035743137557688093468861808064

multiply by 2

149.3119007684140867103175249036728880797062835232193103254147288210584768071486275115376186937723616128

= n + (sqrt( 4 + n^2))

square both sides (^2)

22,294.0437110767351374247271481808116371636601283566902366942877082494780936799632988812395942896851335148

=

n^2 + 4 + n^2 = 4 + 2(n^2)

22,294.0437110767351374247271481808116371636601283566902366942877082494780936799632988812395942896851335148 minus 4 =

22,290.0437110767351374247271481808116371636601283566902366942877082494780936799632988812395942896851335148

= 2(n^2)

22,290.0437110767351374247271481808116371636601283566902366942877082494780936799632988812395942896851335148 divided by 2 =

11,145.0218555383675687123635740904058185818300641783451183471438541247390468399816494406197971448425667574 = n^2

sqrt(11145.0218…)

11,145.0218555383675687123635740904058185818300641783451183471438541247390468399816494406197971448425667574 = n

105.5699855808381152623041834884443990481480476565883064665703597818795393024746762589595045798316877349

I have no clue yet what this means, just having fun playing with continued fraction formulas.

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6a2de9 No.12014

>>12002

>Our reality was created in the future and we're almost caught up.

Cool thought, thanks for that!! Been ruminating about it past couple days and it really makes sense. How else? Makes perfect sense actually. Had similar insight several years ago, but this is better, as there is a "there there" in the future, instead of just growing into a void to fill with an evolved manifestation of the present.

Other points will take a while to digest, still have some tasks with The Grid to work through (currently surfing and hopping "x-curves" in e & f n=1 to find target c - looks like will need to go into negative t-space as was mentioned while ago in a crumb).

If you, VQC, Chris, etc. would please:

Provide, give direction, input for the other

GRIDS

, from ?? to Mandelbrot. That would be MOST appreciated!! Proper generation and layout of the SEVEN variables.

>The Grid is the VQC for modular forms, elliptic curves, indefinite logs, and integer factorization.

Yes, and it's fascinating! Beautiful. Enlightening. Please please, for the love of GOD, drop the other GRIDS!

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c4fb97 No.12015

>>11765

>Then we discovered the self similarity of 2d to x and x+2n and nm1. This was MASSIVE because we had gain of function where we could a set of x and make it n with f or vice versa AND we could take a different set of x and make it n with x and vice versa.

Thinking on this one, and the only thing I can think of is reciprocals.

Has anyone figured out the "knx" and "kxn" idea?

>What is it? It is not as complicated as it sounds and it looks a bit like a Lorentz transformation from physics.

https://en.wikipedia.org/wiki/Lorentz_transformation#Transformation_of_velocities

I'm working and thinking if anyone wants to join!

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07f452 No.12016

>>12015

As long as you're posting to the board, I'm happy.

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c4fb97 No.12017

Lol.

Here's a fun calculation just for kicks

for c6107, create 2d(n-1)

e= 23 f = 134

2d+1= 157

(e-1)/2 = 11

11 + 11 + 1 = e

11 * golden ratio = 11 * 1.6180 = 17.798

17.798 x 2 = 35.596 = n-1

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07f452 No.12018

>>12017

What makes it fun?

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c4fb97 No.12019

>>12018

It's fun bc it's an easy calculation to a solution for that c value. 3 steps.

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c4fb97 No.12020

File: 037ab2462759836⋯.png (51.71 KB,180x180,1:1,image_2021_02_07_210022.png)

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c4fb97 No.12021

File: 3aae15473eb58fd⋯.jpeg (929.41 KB,1515x1006,1515:1006,EuclideanGCDpepe.jpeg)

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c4fb97 No.12022

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07f452 No.12023

File: 39ed381bd9c8764⋯.png (1.14 MB,1515x1006,1515:1006,ClipboardImage.png)

>>12022

shoulda done it this way:

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07f452 No.12024

File: e8e16cb172a7223⋯.jpg (4.01 MB,3024x4032,3:4,image0.jpg)

Trying something…

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c4fb97 No.12025

File: 7df658442916796⋯.png (137.52 KB,1291x684,1291:684,screenshot.png)

Downloaded the image software Tops recommended! Image test.

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c4fb97 No.12026

>>11742

>As you go to 9c, then 16 c, a new telling pattern emerges. These are not and never were integers once we took a smooth sided square from a less smooth square. How do we know this happened? We chose, we played God. Not one rare number but two. We forced two very, very unlikely events together, the product of two primes, close, not too close.

Hmmm. This crumb is tasty. I'm going to build out a new sheet.

>>11748

Also tasty! He seems to be adding ideas to the usual 2n movement concept. 6 possible variations:

a+2

a-2

b+2

b-2

a and b + 2 for both (so a 4n movement to the right)

a and b - 2 for both (4n movement to the left)

Thinking and working if anyone would like to join!

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6a2de9 No.12027

File: 9f1524ce9b9f0d4⋯.png (159.05 KB,1175x988,1175:988,c_203_gcd.png)

>>12026

>As you go to 9c, then 16 c, a new telling pattern emerges

This is what these posts were about:

>>11956

> obtained by multiplying 'c' by 4, 9, 16… and the 'a' by 2, 3, 4, …

>>11957, >>11958

You may wish to plot out the shape and movements for c203 listed here: >>11959 or at least look at the (e,n) (f,n) pattern. It's similar to the 145, but different in that the 'e' and 'f' seem to "loop" back and cycle as the n increases by 4 with each step.

Also, there are patterns with the factors (see pic - which can't seem to post rn, shows the 7 everywhere with these cells, and the 29 as well.). With these small numbers for c, it may be a bit confounded, as 3, 7, 11 etc are everywhere as pointed out the other day.

One avenue you may find something to explore is to divide 'a' (the 'an') in (e,1) and (f,1) for increasing t, by n. Noted the mantissa's make quite the patterns, showing the continued fractions and getting at the factors of n & n-1.

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c4fb97 No.12028

>>117042

>d = 2a + 2x

>a = g + 2z + x

>f=2z + 2x

>e-d=g

>Its the two z you take from (x+1)(x+1) that make div by n-1 (its why it works in halves).

Dafuq?

ok, c6107 just to run numbers for fun and analysis:

e=23 n=36 d=78 x= 47 a=31 b=197

{23:36:78:47:31:197}

23-78= -55 = g

f =134 - 2(47) = 40 = 2z

so z =20

a = -55 + 40 + 47 = 32 (correct answer is a = 31)

so this formula is off by one (1).

The correct formula should be:

a = g + 2z + x -1

I love when VQC gives us formulas to double check. It's fun to lose myself in math(s).

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c4fb97 No.12029

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6a2de9 No.12030

>>12029

Kek, wasn't M banned? 11483 (PB)

Did have fun with that post >>11484 (PB).

And remember the book library being assembled? Looked couple months ago, nada. >>11443 (PB)

>>>/maths/1

8kun.top/maths/

Did give some suggestions: >>11455 (PB)

BTW, great older paper regarding T formulas and patterns, recommended:

https://www.fq.math.ca/Scanned/12-3/hoggatt.pdf

"TRIANGULAR NUMBERS"

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c4fb97 No.12031

>>12027

Hello MM! Thanks for the reminder! I just finished studying your diagrams again, great work friend. I found the answer to a question I had, about the movement down in n values as you move cells. Would you please upload a high res version of the big one with all the elements, when you have time?

>>11956

For the BigN yellow square, does this element show up in your program?

{123:61:13:11:2:146}

I think it exists, but the f value is -96

I'm still thinking about how we could use the details of this concept to find the 2n / 2(n-1) in the solution n row. We need a destination cell, but not sure yet how to create it.

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07f452 No.12032

>>12030

Gawd I luv me sum trangles.

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6a2de9 No.12033

File: d171501f39d6da9⋯.png (98.97 KB,1316x581,188:83,c_145_1.png)

File: 427d8e2df0f6c98⋯.png (111.41 KB,1320x579,440:193,c_145_2.png)

File: 51d22a574528f6c⋯.png (140.01 KB,1034x899,1034:899,c_145_3.png)

File: 825b20812184cbb⋯.png (90.18 KB,1086x985,1086:985,c_145_4.png)

File: 866ac00edf05bb0⋯.png (77.94 KB,1142x499,1142:499,c_145_e123_n61_BigNjump_d1….png)

>>11956

>>12031

>please upload a high res version of the big one with all the elements

That's tricky, and wouldn't all the cells and elements be more useful? Here's a paste: https://pastebin.com/6jpCPivw

Didn't like that e&f were on the same row, so expanded and shifted. Added Col e=0. Then the interesting elements were truncated (grid output with i-max of 4096), so pulled cells from a larger output range (imax around 12K). Pics highlight, they're in the paste.

>For the BigN yellow square, does this element show up in your program?

>{123:61:13:11:2:146}

Where'd ya grab that one from? It doesn't show until you begin to enumerate into negative x (t<1) (see pic of cell). Good call on the element btw, as d increases by one and a drops by one, x unchanged.

The f (-96, 60) cell is included in the paste. You'll need to enumerate into t<1, if you have any trouble holler.

>>12032

>Gawd I luv me sum trangles.

Indeed, they're KEY. Finally (mostly) untrangled the RSA10 bit.

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c4fb97 No.12034

>>12030

>>12032

>>12033

>"TRIANGULAR NUMBERS"

>Gawd I luv me sum trangles.

Very Interesting indeed that we were given an (e,n,t) Grid coordinate system. 3 dimensional triangle lookup. Trig, baby. Regardless of elements, I believe there is a clear solution path using Grid Trigonometry. Grid Trig lol.

Imagine (e,n) like a table laid out before you. all the (e,n) elements laid out neatly on the (e,n) axis. Origin (0,0) is the back left corner of the table. Now envision (t) as heights rising (t) height from their respective (e,n) bases. There are guide lines running from every key element. Those can be traced back in 3d to calculate new elements, especially in negative x/t

Not abandoning any ratio explorations, just enjoying some herbal remedies and expanding over all possibilities. New to old to new.

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07f452 No.12035

If the keys for crypto ledgers are letters…

And RSA keys are numbers…

Then binary would be the middle they meet in, huh?

Each letter correlates to a binary value and when you convert it all and put the string together…. viola.

Just me thinkin' off the top of my head, tho.

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000000 No.12036

>>12034

One thing I have been thinking about is the (x+n)^2 equation. We're dividing pieces into 8, since we have 8 triangles. If we treat n as:

n = 8k + r (where r is the remainder of n % 8) then we'll have:

nn + 2d(n - 1) + f - 1

(8k + r)(8k + r) + 2d(n - 1) + f - 1

We know that (8k + r)**2 = 64kk + 16kr + rr which means we have:

64kk + 16kr + rr + 2d(8k + r - 1) + f - 1

So if 2d % 8 = 0, then we know that (f - 1) has to compensate for the rr part of the equation. Everything else divides 8.

That's it, though. Just thinking about it.

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fc8776 No.12037

File: 6be7df79e93f410⋯.png (66.45 KB,414x734,207:367,reciprocals_VA.png)

File: 600f70b51f0e204⋯.png (301.88 KB,650x476,325:238,reciprocal2.png)

File: 795cded688add04⋯.png (169.19 KB,632x464,79:58,reciprocal1.png)

File: cee228f7614788d⋯.png (407.89 KB,498x629,498:629,reciprocal4.png)

File: 6dc7fc1a2c363dd⋯.png (133.9 KB,405x405,1:1,reciprocal7.png)

>>12003

>Calculate the reciprocal.

>>11921

>Need to find a better way to display decimal remainders and their reciprocals.

>>12015

> the only thing I can think of is reciprocals.

Did someone say reciprocal?

(modular memes atr)

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6a2de9 No.12038

>>12003

>All the best tricks in equations happen between the steps you know.

Related, seems to be the case for the an & bn elements in n1. All the action appears to be at the midpoint.

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403099 No.12039

>>12037

>>12038

Hello Anons. MM, you around tonight? I'd be down to get some work done.

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6a2de9 No.12040

>>12039

Hello VA, just saw this. Have some other priorities atm, but will check in.

Download this: http://www.blackwire.com/~bjordan/The-Book-of-Numbers.pdf

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f6804a No.12041

Has anyone else noticed that the number of the first post in this thread is the golden ratio

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07f452 No.12042

File: 736022fc108765c⋯.png (328.02 KB,600x600,1:1,ClipboardImage.png)

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6a2de9 No.12043

>>12041

12041 is Prime.

Good callout on the GR.

>>12039

> around tonight? I'd be down to get some work done.

Another Friday night maths seshion…

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855feb No.12044

Now that Jan is gone, we can finally get to the real work..

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bb45d4 No.12045

YouTube embed. Click thumbnail to play.

I wonder if an audible version of the Mandelbrot Set will help illuminate anything…

>>12044

Oh look!

Posting works, again.

And no one thinks Jan has gone anywhere.

Jan's just being less of a jackass and it's refreshing/welcome.

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32c75a No.12046

Friends.

You're about to get answers before the final authentication.

More than promised.

Far more than promised.

This will tie in with the Revelation.

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32c75a No.12047

>>12045

I will always love you Topolanon

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32c75a No.12048

>>12046

Q stands for Quarter.

There is plenty of evidence for 11,500 year cataclysms.

The pole flip.

The missing evidence for the one in between was filled in with the Bible, to remind us, since the evidence of this half cycle is under the ice caps and under the oceans.

5775 years.

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32c75a No.12049

As the world TURNS refers to the potential difference between the continent at the south pole with respect to none at the top.

Periodically, mass under the earth appears to accumulate under the north pole (as can be seen now with the magnetic part of that mass moving from Canada towards and around the pole in such a massive amount it is moving the magnetic north pole with it. This last minute rush of mass is the sign.

This creates an INTERMEDIATE AXIS amplifying the wobble that creates the precession of the equinoxes.

Stonehenge was built to warn of the approach of the last one, since the elevation dropped by miles as Atlantis dropped beneath the sea and Zeus's hand could no longer be seen at the straits of Gibraltar

London will be 0 lat on the equator as the zero meridian and international date line is the new equator.

Bay of Bengal will be the north pole, the Galapogus Islands will be the South Pole.

Atmospher and Oceans are treated as solids in terms of conservation of angular momentum, which is why much of Chan Thomas' claims in the immediate aftermath are wrong. It's change in elevaton, new ice caps and the new ring of fire and lots of shaky shaky.

Yeah, so there won't be any bitcoin. Or electricity. For a while.

COMING THIS YEAR.

The swastika inside a circle inside a star represents the four turns ever 5775 years, the earth and the pyramids which are markers.

The pyramid of Giza will be in pretty much the same place, as will Israel, just with a lot more land at a much higher elevation.

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32c75a No.12050

As for the maths, it's just a tree with a bit of recursion or an equation rearrangement.

As long as you combined e and fm1 (where e+f = 2d+1).

The patterns become more and more obvious at scale.

We'll authenticate at the end of this.

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32c75a No.12051

Arrests never mattered.

It was about discovering the true meaning of 'climate change'.

Nothing can stop what is coming.

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5a2c8e No.12052

el test

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6a2de9 No.12053

File: 472632ff38ba550⋯.pdf (2.19 MB,adam_eve_chan_thomas_CIA_R….pdf)

>>12049

Interesting.

Was going to work a bit this eve, back in a couple hours…

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5a2c8e No.12054

>>12052

Tiiiiiiits

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5a2c8e No.12055

File: fa538e0817d2cc5⋯.png (819.59 KB,905x904,905:904,TomIsSS.png)

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5a2c8e No.12056

>>12046

We finally gittin' around to that fabled March Madness?

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e01d75 No.12057

>>12046

>You're about to get answers

>about to

Cool let's wait around for another three years then. You've been making these predictions since the start (e.g. Matariki, Joe Biden/Bill Clinton dying) and every time you're wrong you leave for several months and then come back and act like nothing happened. I don't doubt the pole shift/12000-year cataclysm stuff but we could be sitting here for another 20+ years for all you know (because you don't know when any of this stuff will happen, otherwise you wouldn't have been incorrect every single other time you said anything like this). Meanwhile all of the elites for which you claim to have incriminating evidence against based on the VQC are allowed to keep getting away with everything. In a way, that makes you complicit, because you allegedly could stop them but refuse to. If the world's going to end then your own personal safety shouldn't matter either.

Anything you post at this point other than the solution is a waste of everybody's time.

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e007f3 No.12058

>>12057

>If the world's going to end then your own personal safety shouldn't matter either

>Anything you post at this point other than the solution is a waste of everybody's time.

Yup. Enough of this bullshit. We have enough knowledge and skill as a team to solve this with just one correct hint. Drop the crumbs VQC, and spare us the doomsday bullshit. We're all gonna die, and we've given a huge chunk of our lives to working on this quest. We chose to embark on this crazy quest to make life better for ALL LIVING BEINGS on our planet. Fuck off with your cataclysm posts.We want to LIVE and make life BETTER for all Beings. Fuck off. Post some clues.

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e01d75 No.12059

>>12058

>more "clues" that either don't get us anywhere or aren't even actually mathematically correct

If he posts anything other than just the exact algorithm that allows us to factor any number we put into it in O(log n) time where n is the length of c in bits, he won't be doing anything different to what he's done for the last three years. He needs to actually post the solution.

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b052d0 No.12060

YouTube embed. Click thumbnail to play.

>>12058

I mean, to be fair, VA does have a point.

Our Collective Intention, is to LIVE, and BRING FORTH LIFE. Our Collective Will, is: To Bestow (Life).

I feel like Universal Gravitation, whatever that even means, is a pretty cool thing/factor.

Pretty sure all cycles, eventually find a new method of repetition, i.e. they eventually change.

In a way….the only constant IS change, but then that beautiful paradoxical nature of Being steps to the forefront, and there is this Infinite, Eternal Beauty, that is indeed Constant, and stands solid, while all other paradigms shift.

It's all a 1, and a 0, somehow.

Yet. The "0" isnt a "0", it's infinite potential for Infinity. And the "1" isnt just "1", contained within "1" are All Things. i.e. Infinity.

bless

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12bd05 No.12061

>>12059

I agree AA, and I think there are several solution pathways we could figure out with another good hint.

I don't want VQC to just give us the answer. that's not fun at all. Cmon VQC, give us a good hint and let's help round up some bad guys.

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12bd05 No.12062

Also, I've spent about 5-6 hours studying and re-reading the paper by CP Schnorr that 4chan was talking about a few weeks ago. It's a tough read with my skill level, but the big ideas are easy to spot.

For anyone interested, here's the link to the PDF:

https://eprint.iacr.org/2021/232.pdf

Big ideas:

>"It completely destroys RAS"

>"This method is far faster than the Quadratic Sieve (QS) and the Number Field Sieve (NFS)"

>"using much smaller primes"

Hmm. Sounds like our c' = qc explorations.

>"Let N > 2 be an odd integer that is not a prime power and with all prime factors larger than pn, the n-th smallest prime. An integer is pn-smooth if it has no prime factor larger than pn."

Next: Blah blah blah a bunch of stuff WAY over my head.

Then there are specific instructions for building several different algorithms, and the author seems to be walking us through the evolution of several older methods that led him to this new and improved method.

Iteration and list building are part of each step.

>"It shows that SVP is polynomial time" (under certain conditions blah blah)

There is a part of the calculation that uses volume of a sphere.

More algorithm examples.

Um yeah. I think that's the best summary I can provide with my knowledge of the crazy equations this guy uses. If you'd like a good mental exercise, go try to understand this guy.

It seems like the grid is WAY simpler than the method proposed in the paper.

Just working to contribute something useful this evening.

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12bd05 No.12063

>>12062

Also, his personal email is included at the top of the paper.

Topol, you willing to reach out to him just for fun?

Maybe he'll pop in and help us out if he's a white hat.

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12bd05 No.12064

Also just for fun, because I enjoy small workable examples:

c145

c' = qc

Method:

set q < d by multiplying small primes

d=12

1 * 2 * 3 = 6 (less than d)

1 * 2 * 3 * 5 = 30 (greater than d)

145 * 6 = 870

sqrt(870) = 29 r29

lol there's our prime b value for c145. In both the sqrt and the remainder.

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12bd05 No.12065

File: 833e41e997aef01⋯.png (70.87 KB,1289x273,1289:273,screenshot_factors_e_1_.png)

So for RSA100, how many factors do we have in q?

Meaning c' = qc

We can build out the factor chain in (e,1) using each small prime to validate the following:

>>6561

>>6579

>p will be a factor of a[p+1-t] for ALL cells in row n=1.

Having millions and millions of elements to check is no problem, compared to the method described in the Schnorr paper.

AA, you down to do some work? I finally have a useful idea. We need the following facts:

all the prime factors that multiply to < d for RSA100. This is what you could help generate very quickly with your skills.

The factors for q, applied against knowns, like N, (N-1), c*N, c*(n-1), etc

We use the small factors as tests against our 6 knowns.

So each known is divided by the list of factors that create q.

Any whole integer result is divided into c.

We should find (a) or (b).

Large data set, but made much smaller and workable by using small primes, in combo with known a[t] values.

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3544b8 No.12066

>>12061

>having fun is the important thing in this scenario

Have fun sitting around for the next ten years twiddling your thumbs while the world gets worse and worse

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ce7da0 No.12067

>>12066

If you didn't have the kernel of hope that WE ALL DO, you wouldn't be here.

And you know damn right that this isn't about sweet sweet thumb play.

As co-manager of the nerd cats… you can't deny that you keep an eye here because "this is a thing".

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d9154c No.12068

>>12067

I think it's extremely selfish to stall the release of something that has the potential to rid the world of significant problems because it's fun to work on puzzles. Do you disagree?

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0cd914 No.12069

>>12068

Same applies to a Dead Man's Switch.

Better this habben under Biden/CCP's watch… do you disagree?

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b2dfbc No.12070

>>12069

My last post summarizes the conversation VA and I were having. Neither of these last two posts of yours that you've directed towards me have mentioned anything that came from that conversation. I mean no disrespect but what are you talking about and what am I supposed to reply with?

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0cd914 No.12071

>>12068

>I think it's extremely selfish to stall the release of something that has the potential to rid the world of significant problems

<Dead Man's Switch

Would you describe one differently?

And… sorry… I wasn't trying to insert myself into your and VA's conversation.

My response was based solely on the post I responded to.

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b2dfbc No.12072

>>12071

Are you suggesting he's still in a situation in which a DMS is required? Because he just talked about none of that mattering because according to him the world's going to 'end' this year (or it won't because this isn't the first time he's made a prediction like this that went nowhere that he then acts like he never made and never mentions again - point being, right now his opinion is that there's going to be a cataclysm that will render a DMS both meaningless and unable to be executed). If this is his view, not only does it not make sense to keep a DMS since according to him the electricity will go out and it won't work, the world ending (whether that's the end of human life or the end of our modern technological era) nullifies the potential danger to his life. If you think about these posts from his perspective, assuming he actually thinks he's correct in his doomsday predictions, it makes zero sense not to immediately post the solution.

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0cd914 No.12073

>>12072

Nope, was just comparing your description to a DMS.

As for if I take the doomsday seriously, and I don't think the world's ending… just this paradigm.

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a892ae No.12074

>>12048

You act like you have fellowship with the light, but you return just to keep the lie going. I wish you knew the Lord, if you did you would see it’s possible to be forgiven. The Bible is about the foot of the cross, and nothing else; now this merry mathematician will be on his way.

(Jan)
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ede3df No.12075

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34a479 No.12076

>>12075

>articles from 2020

>none of the other things related to p=np happened

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6a2de9 No.12077

>>11943

>We find that on the f side of grid, d and a are consecutive triangular numbers.

We also find that these are the last triangular numbers you'll ever see.

There is a "t max" for both e and f, with f being larger (there is a most interesting convergence beyond that point).

For example, using a c value with parities common to RSA-160 and RSA-2048:

for c = 175440233

e_tmax = 5104 and f_tmax = 8142

The solutions tend to appear much earlier, in this case, at t = 718

a = 11887 and b = 14759, Triangle = 6661 (the 39th triangular number encountered, the first at t=1 being 6622).

Welcome any checks on these:

RSA-160:

c = 2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753

d = 46397641133131862072167877053383961122521410302945808389272604640719112355622938

e = 40809795275210049239274163025105545514992120063649432668016730646837717812657500

f = 51985486991053674905061591081662376730050700542242184110528478634600506898588377

e_tmax = 20404897637605024619637081512552772757496060031824716334008365323418858906328750

f_tmax = 25992743495526837452530795540831188365025350271121092055264239317300253449294189

RSA-2048:

c = 25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357

d = 158732191050391204174482508661063007579358463444809715795726627753579970080749509038234439930489555315868267281901625482025855564208636773499648228623076769614797270129130742972260455521621911849859457462601401778167333624341714374446130822320307842257241763234477563024498941548341846636892569704255561221621

e = 243676047046757228948354966626008007768573179238925360967593508339940177630843372604414384521881490829867394576696309552815414339504101686900879055871360620157918810025737179060027979323491544193930512044316910795096628333771636733749883455946827051822080605775310415486037431447599598714462419533466521043847

f = 73788335054025179400610050696118007390143747650694070623859747167219762530655645472054495339097619801869139987106941411236296788913171860098417401374792919071675730232524306884492931719752279505788402880885892761238038914911792015142378188693788632692402920693644710562960451649084094559322719875044601399396

e_tmax = 121838023523378614474177483313004003884286589619462680483796754169970088815421686302207192260940745414933697288348154776407707169752050843450439527935680310078959405012868589530013989661745772096965256022158455397548314166885818366874941727973413525911040302887655207743018715723799799357231209766733260521924

f_tmax = 36894167527012589700305025348059003695071873825347035311929873583609881265327822736027247669548809900934569993553470705618148394456585930049208700687396459535837865116262153442246465859876139752894201440442946380619019457455896007571189094346894316346201460346822355281480225824542047279661359937522300699698

>>12050

>As long as you combined e and fm1 (where e+f = 2d+1).

Find a useful check: (twod - f - e + 1) = 0

Been having a bit of trouble with big precision and 2048 calcs and checks such as those help.

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737f29 No.12078

Test 123

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6bb981 No.12079

>>12078

Seent

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ba3958 No.12080

Hello Lads.

Working on a breakdown of the (x+n)^2 area for RAS100. Here's some facts to add to our list. Next will be the breakdown of roots, and then looking into triangular numbers that fill the area.

(x+n)^2 =

1123030866904336703079469523070416463095627144114722409357226718814587956951689069474054796070761

((x+n)^2 -1) / 8=

140378858363042087884933690383802057886953393014340301169653339851823494618961133684256849508845

(n^2 + 2d(n-1) + f ) / 8 =

140378858363042087884933690383802057886953393014340301169653339851823494618961133684256849508845

n^2 = 14387588531011964456730684619177102985211280936 ^ 2 =

207002703737707017321876230713526039560149318835675136090501921989816993961923027553917036096

2d(n-1) =

78041143710802531024579146678968742037810013800388 * 14387588531011964456730684619177102985211280935 =

1122823864200598996062147646839702937056066994779064034586146419565475044792634214026288880002780

f =

16822699634989797327123095165092932420211999031886

n^2 + 2d(n-1) + f - 1 =

1123030866904336703079469523070416463095627144114722409357226718814587956951689069474054796070761

Check:

(x+n)^2 =

1123030866904336703079469523070416463095627144114722409357226718814587956951689069474054796070761

n^2 + 2d(n-1) + f - 1 =

1123030866904336703079469523070416463095627144114722409357226718814587956951689069474054796070761

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cc4905 No.12081

>>12080

For RSA100:

d/2 =19510285927700632756144786669742185509452503450097

binary equivalent for d/2:

11010101100101110111011110101000101101011001011000101111110110100001000010101111100100111101111000001111110111101100001001000011101100000000111010100000000111110001

binary equivalent for (a prime):

110011111101111010100000111010110100110101010001111011000011000000000100110101001011001111101101100110011011110011100011000111100110101010000000111110010010011110111

d minus 1 =

39020571855401265512289573339484371018905006900193

d minus 1 binary equivalent:

000110101011001011101110111101010001011010110010110001011111101101000010000101011111001001111011110000011111101111011000010010000111011000000001110101000000001111100001

2d minus 1=

78041143710802531024579146678968742037810013800387

2d minus 1 binary equivalent = 1101010110010111011101111010100010110101100101100010111111011010000100001010111110010011110111100000111111011110110000100100001110110000000011101010000000011111000011

Doing the work, and nothing is popping out.

That's ok.

I'm still here because I like the idea of destroying the Ring, or seeing the Death Star blown up.

Just finished a re-read of "Return Of The King" by JRR Tolkien.

I wept at the last chapters.

Middle Earth was freed from the Evil oppression of Sauron.

And prayed to Jesus that I could help make a real difference in this world.

I want to give up on this quest sometimes.

And I somehow just can't give it up.

I love good stories where the bad guys finally get fucked and have to eat shit.

For us, what does that look like?

Solving a math problem.

That will throw the world into confusion for a time.

And it will lead to great transparency

All secrets revealed.

the Evil elites who attempt to rule us.

And we do not want to be Ruled.

We want Freedom and autonomy to make our own life choices.

Made me want to work here tonight with you all.

Even when hope seems lost, I work on.

Never giving up on powerful Spark of Freedom that I have followed my whole life.

Veritas Aequitas = VA = Truth and Justice

If we never solve this i don't give a fuck.

Every moment I gave to this quest was a moment well invested.

'm proud to have given my mind, heart, time, and service to this community of badass Freethinkers who want to make a difference by doing challenging math(s)

Wake up faggots. Let's regroup and do some more excellent work. I know everyone is discouraged. Fine. This is the finest bunch of faggots I've ever met. Time to work again.

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ce7da0 No.12082

>>12081

I'll be keeping on the lights.

Keep up the good work!

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8986ee No.12083

>>12082

Hello Tops! Thanks for keeping the lights on.

In response to your question:

We still haven't reached full understanding on all the clues in the binary search idea.

There are supposed to be 4 families of odd integers, and some way that semi-prime or prime factors can be identified using binary tags.

We don't yet understand why the prime binary tags appear in our 6 knowns in (-f,1) and (e,1) but they do, with astounding regularity.

80% of the time they do appear, although I remember AA saying that it's less than that for semiprime c values.

VQC also hinted that (-f,1) and (e,1) operate as a wave function, which to my mind means some type of recurring pattern in the binary tags should be discoverable.

AA and I have agreed and disagreed about parts of this, and that's ok. We agree on more parts than we disagree on.

>>10649

>>10651

>>10652

I have simply noticed recurring binary tags in many of the smaller examples (like 5 = 101 in binary for c145) and (31 = 011111 in binary for c6107)

So I'm not saying it always works, just that the "wave function" does indeed exist for smaller c values, and therefore maybe it also exists in a different form for larger c values.

My question is this:

What do we do to our semiprime c to get the properly sized integer that contains (a prime) as it's binary tag ending?

I think any binary solution will use the ideas above regarding (e,1), wave functions, our 6 knowns, etc.

Working backwards assuming we can find the answer, we can create (a prime) in binary, and then play around with d and x (which is supposed to be highly smooth, have many smaller prime factors)

Anyhow, there's a few ideas we could work on!

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29ae85 No.12084

>>10651

>>10652

This was a good summary from AA regarding the binary search pattern, and possible ways to find the "one more equation" needed to solve.

>So where I am with my understanding of this is that we have the pattern but there's more to it that isn't blatantly obvious. This pattern fits with most of what Chris said. The time complexity is one step for every bit in a, it's based on a visual pattern in binary within (e,1)/(f,1) a[t] values, and there seem to be four groups of integers out of the ones we can find a factor for. I really can't think of anything else that would make as much sense as this does.

>'m thinking that the answer to finding the larger factors (given so far this only appears to find smaller factors) will be based around one of his other recent clues and maybe a couple of the older ones I had a look at.

(I think so too)

>This is meant to be a loop that gets rid of at least half of the range of elements in (e,1) each step. We haven't even done anything related to the search space so far. We're also meant to be doing something relevant to that whole n/n-1 offset thing, and the algorithm is meant to output n and n-1, rather than a. If this was the way to do it, we wouldn't need to output n, because we'd already know a. I have an idea that maybe there's some way to make it work with more numbers if we utilize the a[p+1-t] and a[t+p] concept. Each time we find a potential a value we maybe take it backwards in (e,1), find a guess n and n-1 and then do something else. Those t differences are based around the factor showing up in multiple a[t]s, and obviously c*BigN/-1 shares a factor with an/-1. The problem with that is that I don't know how to go backwards with the first one and I don't know how to specifically get to the an element without creating another O(n) algorithm. There's also the problem of BigN not being divisible by a, so half of the numbers wouldn't work. Maybe this is where that confusing "offset" thing comes in.

>We also don't have that "one more equation", and that equation is supposed to be related to the offset idea. Either way, there's got to be more to it than just c/a or only half of what Chris said would make any sense. I'm also thinking d[t]-d=a(n-1) might be relevant.

(I think so too)

>It's a pattern that was singled-out by Chris when it was discovered as if knowing it was the difference between figuring this out and not, and then we kinda forgot about it. That's the main pattern in my skimming back through the grid patterns thread that seemed like it could be relevant.

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91be62 No.12085

Lucifer s5e8

There's a line that resonates.

Think… inspiration.

Speaking of which:

AND THEEEEEEEEEN?

Also, gonna do a name thing. Thought about it a while ago, might as well.

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def940 No.12086

File: 6fcbd2cadbf1d17⋯.jpeg (535.29 KB,1277x940,1277:940,bcf91634438723678f5fd2b1f….jpeg)

Public Service Announcement:

Most people confuse 0 and ∅.

Yer welkin.

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def940 No.12087

>>12086

Like, for real, tho.

0 is still "first".

Y'know… that concept normally associated with 1.

We really need to change math education. -_-

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a017a2 No.12088

Chrischrischriecllschtis.. give uss a hint

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a017a2 No.12089

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2f03b1 No.12090

File: 59f09fd36168844⋯.png (1021.19 KB,800x1223,800:1223,YeOldeTranny.png)

Sometimes I think back and remember that one time Jan freaked out Douglas Stewart…

And I wonder why they never did any more of that.

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695ddc No.12091

>>12090

He’s the reason this place is dead.

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522cba No.12092

>>12091

Yeeeeeeeah.

Sucked all trust and fellowship right outta the endeavor.

Not that efforts aren't still being made…

But to be stabbed in the back by someone so close like that… hard to shake.

It's a lot like the dems.

They don't have to be abject pieces of shit, but they simply can't help themselves.

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97bce5 No.12093

>>12091

Debatable, I blame Chris more for pissing around

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522cba No.12094

>>12093

Debatable.

Jan was just Chris pissing around.

MWUAHAHAHAHAHAHAHAHAHAAAAAA!

Would be nice if Chris dropped something meaningful, though.

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ce7da0 No.12095

WHERE THE FUCK IS CHRIS?!

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050620 No.12096

>>12095

England

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9db84c No.12097

>>12096

Or Germany, depending on work. :P

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9db84c No.12098

File: 18f960ff453f7f9⋯.png (149.37 KB,724x713,724:713,ClipboardImage.png)

A nice-osceles trangle.

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35c334 No.12099

File: b37bf5236128e53⋯.png (2.52 MB,1920x1080,16:9,1489639242885.png)

What happened here?

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f61400 No.12100

File: d4fa9a6a3693f4c⋯.jpg (117.88 KB,600x600,1:1,99_0E7aLKk.jpg)

>>12098

Bahaha. I like your nice-osceles triangle, Tops. Diamond hands as we hold on for some new ideas.

4 10 20

>>12099

>What happened here?

That's a long story.

Basically, here's the gist:

We're at the part in the story where cool things happen:

A Hail Mary pass for the touchdown to win the game at the end of the fourth quarter with seconds remaining.

For the Ring to be bitten off Frodo's finger by Gollum, since he couldn't destroy it on his own power.

And for Han Solo to change his mind, turn the Falcon around, and come back to save his loved friend Luke during his trench run despite being a mercenary and total piece of shit for most of his fictional life.

And for Atlas to Shrug lol.

And for Jesus to come back and rid the world of Pedos and devil worshipper pieces of shit.

Hope this helps answer your questions.

It's kinda like the part where faggots give up, and winners keep checking in, even if they don't have the key idea yet.

Knowledge base here with you Anons is off the charts. We have built an amazing community and body of work. I still believe this will be solved by us. So let's enjoy resting, but continue to ask the universe and God to provide the solution at the correct time. Perhaps our desire for justice today is not the correct day for it. Who knows.

I'm still here. I still believe. I love truth and justice.

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6a2de9 No.12101

>>12100

Just saw this. Well said. Shall we work? Will check back…

btw, factor 12100 = 2^2 * 5^2 * 11^2

factor 12101 = 12101. Could help it, post was calling…

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74a3e5 No.12102

Anyone feel like using public revelations about BTC's energy cost to revitalize the search for the solution to the ECC's shadow, RSA?

>>12099

Don't know what that's a scene from, so I couldn't tell ya.

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9a2503 No.12103

>>12101

We haven't yet explored the Factor Chains in (-f,1) and (e,1)

For every given a[t] in (e,1)

a[t] = (an)

a[1] has n

multiply a[1] until factor match with c

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6a2de9 No.12104

>>12103

>a[1] has n

>multiply a[1] until factor match with c

Just saw this, good to read you AA. Not following that, and can't recall having seen previously so would like to understand.

Wow, time flies - haven't done any solid work on this in 2 months. Made good progress the last session, another step, another new pattern shows up. It's crossed my mind a few times in the past week, might be time to pick it up again.

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873c9b No.12105

File: 16f8d27af9e4589⋯.png (782.91 KB,640x480,4:3,ClipboardImage.png)

>>12104

You know how I feel!

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3ca1ac No.12106

>>12104

You made a name typo but I am also still here hello

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6a2de9 No.12107

>>12106

Oh I did, good day to you Lad!

Cool image Tops.

Where 3 or more are gathered…

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a40d39 No.12108

Any chris sightings

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ce7da0 No.12109

>>12108

Mmmmm… I don't think we're at that point yet.

Still too early to unleash this.

Besides, he had been sticking pretty close to Q's schedule, and outside of some /b/-tier nonsense, we all know what that schedule's been like.

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ce7da0 No.12110

Anyone got any insight into the supposed McAfee Dead Man Switch?

Seems like it's in the blockchain…

Sounds awfully familiar… don'tcha think?

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9ae5a3 No.12111

Hello Lads, just checking in. Hope you all are well!

I just finished a complete re-read of the crumbs.

Once again, I keep coming back to the following key idea/theory:

The connection between the triangle method and the grid lies in the change of 2(n-1) in f as we move 2n to the right.

2n movement right in the grid =

same (x+n) square,

2(n-1) change in f

allowing us to track the change in f and find (n-1) or factors of (n-1) OR a ratio that provides (n-1)

Here was a recent post of mine exploring the concepts.

>>11901

>Important concepts to consider:

>We are creating movement in e, and in f by changing c.

>in the prime solution row (e,n) - for every change of 2n to the right in e, we get a change of 2(n-1) in f.

>This rate of change can be used to solve for n or (n-1)

>However, we don't have that info. So where can we get it?

>What we do have is the BigN (1,c) element, and new elements every 2N to the right, where d,a,b increase by 1 just like in (e,n)

>To calculate a new f we need a VALID LOCATION. which is what we get when we move 2N to the right.

>My theory is that the same (e,n) rules for 2n and 2(n-1) hold true in (e,N) or that they are closely related or modified in some way.

>When we change c, we get a measurable change in e, which is some portion of 2n - (delta e)

>This changes f, and we get a measurable change which is some portion of 2(n-1) - (delta f)

>so (delta e) and (delta f) create a ratio.

>please see these small examples for a general idea of what I'm talking about:

>>11843

>>11842

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9ae5a3 No.12112

File: f9a66f2ae4d8450⋯.png (61.7 KB,928x287,928:287,Screen_Shot_2021_06_24_at_….png)

File: e006dd3b60bbd7d⋯.png (43.76 KB,1261x209,1261:209,Screen_Shot_2021_06_24_at_….png)

File: cdd39ad877f2de0⋯.png (31.63 KB,857x203,857:203,Screen_Shot_2021_06_24_at_….png)

File: 9dd4ad009768f7a⋯.png (173.45 KB,1058x312,529:156,Screen_Shot_2021_06_24_at_….png)

File: fdafc322df8e271⋯.png (171.64 KB,1104x458,552:229,Screen_Shot_2021_06_24_at_….png)

Here's some old school crumbs that I personally enjoy.

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9ae5a3 No.12113

File: c360f9365689f4a⋯.png (90.82 KB,957x157,957:157,Screen_Shot_2021_06_24_at_….png)

File: b5ddbcdfd75cabf⋯.png (134.63 KB,1866x165,622:55,Screen_Shot_2021_06_24_at_….png)

File: 0bb09fd8bc3b3eb⋯.png (150.48 KB,1908x270,106:15,Screen_Shot_2021_06_24_at_….png)

File: 73747e9308b3b15⋯.png (105.69 KB,1183x158,1183:158,Screen_Shot_2021_06_24_at_….png)

File: cd793660d2def78⋯.png (300.19 KB,1192x378,596:189,Screen_Shot_2021_06_24_at_….png)

Next batch

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9ae5a3 No.12114

File: 2933d2042b1f8b4⋯.png (251.23 KB,1312x286,656:143,Screen_Shot_2021_06_24_at_….png)

File: e92f1e48e3cc5b9⋯.png (170.54 KB,1013x271,1013:271,Screen_Shot_2021_06_24_at_….png)

File: c3756c2a028d218⋯.png (244.6 KB,1362x309,454:103,Screen_Shot_2021_06_24_at_….png)

File: 55b0adaedb13894⋯.png (162.63 KB,983x286,983:286,Screen_Shot_2021_06_24_at_….png)

File: d63a24dffc1ded1⋯.png (72.43 KB,1244x151,1244:151,Screen_Shot_2021_06_24_at_….png)

Last batch

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6a2de9 No.12115

>>12112 fun digits.

Some great posts there VA, ty, especially for these, still some stones unturned after all these years…

"Enumerate the patterns."

"Enumerate the grid properties."

Nothing has moved this quest further than following that guidance.

*Global [Grid] Patterns*

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9ae5a3 No.12116

Here's a refresh on the binary explorations that AA and I worked on a while back. There's a bunch of really solid ideas here lads. This ties into the row 1 explorations and the 2n vs 2(n-1) change in e and f.

>>10651

>>10652

>So where I am with my understanding of this is that we have the pattern but there's more to it that isn't blatantly obvious.This pattern fits with most of what Chris said. The time complexity is one step for every bit in a, it's based on a visual pattern in binary within (e,1)/(f,1) a[t] values, and there seem to be four groups of integers out of the ones we can find a factor for. I really can't think of anything else that would make as much sense as this does. I'm thinking that the answer to finding the larger factors (given so far this only appears to find smaller factors) will be based around one of his other recent clues and maybe a couple of the older ones I had a look at. This is meant to be a loop that gets rid of at least half of the range of elements in (e,1) each step. We haven't even done anything related to the search space so far. We're also meant to be doing something relevant to that whole n/n-1 offset thing, and the algorithm is meant to output n and n-1, rather than a. If this was the way to do it, we wouldn't need to output n, because we'd already know a. I have an idea that maybe there's some way to make it work with more numbers if we utilize the a[p+1-t] and a[t+p] concept. Each time we find a potential a value we maybe take it backwards in (e,1), find a guess n and n-1 and then do something else. Those t differences are based around the factor showing up in multiple a[t]s, and obviously c*BigN/-1 shares a factor with an/-1. The problem with that is that I don't know how to go backwards with the first one and I don't know how to specifically get to the an element without creating another O(n) algorithm. There's also the problem of BigN not being divisible by a, so half of the numbers wouldn't work. Maybe this is where that confusing "offset" thing comes in. We also don't have that "one more equation", and that equation is supposed to be related to the offset idea. Either way, there's got to be more to it than just c/a or only half of what Chris said would make any sense. I'm also thinking d[t]-d=a(n-1) might be relevant. It's a pattern that was singled-out by Chris when it was discovered as if knowing it was the difference between figuring this out and not, and then we kinda forgot about it. That's the main pattern in my skimming back through the grid patterns thread that seemed like it could be relevant.

>Regardless of any of this, and keeping in mind that we haven't found the solution yet, fucking congrats VA, this is quite possibly the most important thing anyone's found in the last year and a half or so. I mean this in a positive way too but you probably wouldn't have found it if you were as programming-focused as the rest of us, since we all seem to have far more mathematically analytical perspectives, which causes less outside-of-the-box thinking. I hope I don't regret making out that this is as big of a deal as it seems to be, but hopefully that's just two and a half years of hopes being dashed causing me to be skeptical.

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9ae5a3 No.12117

>>12115

And hello MM! Always nice to see you here on the board. Hope you are your littles are well.

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9ae5a3 No.12118

>>12116

"This is the carrier information and the determinant, since the properties of [e,1] are a wave function of sorts."

VQC:

The first pattern we will be showing is key.

There are two types of odd integer.

The sum of two squares and not the sum of two squares.

This is further broken into two.

The product of two numbers where the factors are both the sum of two squares or both are not. Or one is and the other is not (with the fourth sub type being made of one being the smaller or larger factor).

Prime numbers are included, since 1 is the sum of the square of 0 and 1, making prime numbers all belong to one family, this will be interesting/important later.

This is all about information carrying. Integers carry all the information you need about them to tell you everything. We just do not recognise it because we are not trained to see it.

In the special case where two factors are the same (squares), integers still carry the information to determine this faster than using a root function.

You may not be surprised by this next piece of information.

We will be switching to binary.

Makes everything a [bit] MORE black and white.

When displaying the a[t] elements of [e,n] in binary, what do we see? What repeats? And what does not? This is the carrier information and the determinant, since the properties of [e,1] are a wave function of sorts.

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830590 No.12119

(1,1) in binary, looking for the underlying understanding of numbers.

Thanks PMA for your dope program to do this search with!

Current (0,1,1): (0,1,1) = {0:1:0:0:0:2} = 0; f=1; i=1; j=1

vqc$ q -e 1 -n 1 -t 1 40 –format binary

--------------

Enumerating e=only 1, n=only 1, for values of t between 1 and 40.

--------------

(1,1,1) = {01:01:010:01:01:0101} >a=1

(1,1,2) = {01:01:01000:011:0101:01101} >a=5

(1,1,3) = {01:01:010010:0101:01101:011001} >a=13 = 1 + 4 + 8

(1,1,4) = {01:01:0100000:0111:011001:0101001} >a=25 = 1 + 8 + 16

(1,1,5) = {01:01:0110010:01001:0101001:0111101} >a=41 = 1 + 4 + 8+ 16 + 32

(1,1,6) = {01:01:01001000:01011:0111101:01010101} >a=61 = 1 + 4 + 8 + 16 + 32 = 61

(1,1,7) = {01:01:01100010:01101:01010101:01110001} >=85

(1,1,8) = {01:01:010000000:01111:01110001:010010001} >= 113

(1,1,9) = {01:01:010100010:010001:010010001:010110101} >etc.

(1,1,10) = {01:01:011001000:010011:010110101:011011101}

(1,1,11) = {01:01:011110010:010101:011011101:0100001001}

(1,1,12) = {01:01:0100100000:010111:0100001001:0100111001}

(1,1,13) = {01:01:0101010010:011001:0100111001:0101101101}

(1,1,14) = {01:01:0110001000:011011:0101101101:0110100101}

(1,1,15) = {01:01:0111000010:011101:0110100101:0111100001}

(1,1,16) = {01:01:01000000000:011111:0111100001:01000100001}

(1,1,17) = {01:01:01001000010:0100001:01000100001:01001100101}

(1,1,18) = {01:01:01010001000:0100011:01001100101:01010101101}

(1,1,19) = {01:01:01011010010:0100101:01010101101:01011111001}

So each integer is a composite of smaller integers. I know this is basic, just walking through from step 1.

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830590 No.12120

Ok guys.

So the big idea is simply, the (a prime) value occurs as an ending tag in the (a) values.

101 = 5 in binary

5=n

5=a

for c145

Other powers of 2 are added to it

But the 101 = 5 remains steady all through the chain

This holds true for larger c values

AA and I probed and proved this concept up to c=3M

We had an 80% success rate

Using only the six knowns in (e,1) and (-f,-1)

The binary gives us the building blocks of every integer in (e.1)

It’s more than the factor chain

Topolanon hello brother!

Would you please help me get the nerds in here tonight?

I’m calling for a fun Friday math(s) conference.

What the fuck have we been doing here if not for the love of patterns and math(s)?

Get in here faggots.

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830590 No.12121

ok, so for c145 f =24 = 11000

b = 29 = 11101 = 16 + 8 + 5

supposedly f is the guide to constructing the (x+n)^2 area.

-f = 24

e = 1

why the gap? How is it determined?

By making the same square with a negative e value, where d = d+1

Yup, I'm going back to basics to understand how the squares actually work.

Here's (2,1) - supposedly the second most important cell in the grid.

Regular and Binary below.

Please remember we're examining (a) values.

This is for any lurkers or visitors. In (2,1,1) the (a) value is second from the right, value=1

In (2,1,2) the (a) value=3

{e:n:d:x:a:b}

vqc$ q -e2 -n1 -t 1 20

------------—-

Enumerating e=only 2, n=only 1, for values of t between 1 and 20.

------------—-

(2,1,1) = {2:1:1:0:1:3} = 3; f=1; i=2; j=1

(2,1,2) = {2:1:5:2:3:9} = 27; f=9; i=6; j=3

(2,1,3) = {2:1:13:4:9:19} = 171; f=25; i=14; j=5

(2,1,4) = {2:1:25:6:19:33} = 627; f=49; i=26; j=7

(2,1,5) = {2:1:41:8:33:51} = 1683; f=81; i=42; j=9

(2,1,6) = {2:1:61:10:51:73} = 3723; f=121; i=62; j=11

(2,1,7) = {2:1:85:12:73:99} = 7227; f=169; i=86; j=13

(2,1,8) = {2:1:113:14:99:129} = 12771; f=225; i=114; j=15

(2,1,9) = {2:1:145:16:129:163} = 21027; f=289; i=146; j=17

(2,1,10) = {2:1:181:18:163:201} = 32763; f=361; i=182; j=19

(2,1,11) = {2:1:221:20:201:243} = 48843; f=441; i=222; j=21

(2,1,12) = {2:1:265:22:243:289} = 70227; f=529; i=266; j=23

(2,1,13) = {2:1:313:24:289:339} = 97971; f=625; i=314; j=25

(2,1,14) = {2:1:365:26:339:393} = 133227; f=729; i=366; j=27

(2,1,15) = {2:1:421:28:393:451} = 177243; f=841; i=422; j=29

(2,1,16) = {2:1:481:30:451:513} = 231363; f=961; i=482; j=31

(2,1,17) = {2:1:545:32:513:579} = 297027; f=1089; i=546; j=33

(2,1,18) = {2:1:613:34:579:649} = 375771; f=1225; i=614; j=35

(2,1,19) = {2:1:685:36:649:723} = 469227; f=1369; i=686; j=37

(2,1,20) = {2:1:761:38:723:801} = 579123; f=1521; i=762; j=39

vqc$ q -e2 -n1 -t 1 20 –format binary

--------------

Enumerating e=only 2, n=only 1, for values of t between 1 and 20.

--------------

(2,1,1) = {010:01:01:0:01:011} 1

(2,1,2) = {010:01:0101:010:011:01001} 3

(2,1,3) = {010:01:01101:0100:01001:010011} 9

(2,1,4) = {010:01:011001:0110:010011:0100001} 3

(2,1,5) = {010:01:0101001:01000:0100001:0110011} 1

(2,1,6) = {010:01:0111101:01010:0110011:01001001} 1

(2,1,7) = {010:01:01010101:01100:01001001:01100011} 9

(2,1,8) = {010:01:01110001:01110:01100011:010000001} 3

(2,1,9) = {010:01:010010001:010000:010000001:010100011} 1

(2,1,10) = {010:01:010110101:010010:010100011:011001001} 3

(2,1,11) = {010:01:011011101:010100:011001001:011110011} 9

(2,1,12) = {010:01:0100001001:010110:011110011:0100100001} 3

(2,1,13) = {010:01:0100111001:011000:0100100001:0101010011} 1

(2,1,14) = {010:01:0101101101:011010:0101010011:0110001001} 3

(2,1,15) = {010:01:0110100101:011100:0110001001:0111000011} 9

(2,1,16) = {010:01:0111100001:011110:0111000011:01000000001} 3

(2,1,17) = {010:01:01000100001:0100000:01000000001:01001000011} 1

(2,1,18) = {010:01:01001100101:0100010:01001000011:01010001001} 3

(2,1,19) = {010:01:01010101101:0100100:01010001001:01011010011} 9

(2,1,20) = {010:01:01011111001:0100110:01011010011:01100100001} 3

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830590 No.12122

Ok, here's a re-do of (1,1) with regular and binary.

vqc$ q -e1 -n1 -t 1 20

------------—-

Enumerating e=only 1, n=only 1, for values of t between 1 and 20.

------------—-

(1,1,1) = {1:1:2:1:1:5} = 5; f=4; i=3; j=2

(1,1,2) = {1:1:8:3:5:13} = 65; f=16; i=9; j=4

(1,1,3) = {1:1:18:5:13:25} = 325; f=36; i=19; j=6

(1,1,4) = {1:1:32:7:25:41} = 1025; f=64; i=33; j=8

(1,1,5) = {1:1:50:9:41:61} = 2501; f=100; i=51; j=10

(1,1,6) = {1:1:72:11:61:85} = 5185; f=144; i=73; j=12

(1,1,7) = {1:1:98:13:85:113} = 9605; f=196; i=99; j=14

(1,1,8) = {1:1:128:15:113:145} = 16385; f=256; i=129; j=16

(1,1,9) = {1:1:162:17:145:181} = 26245; f=324; i=163; j=18

(1,1,10) = {1:1:200:19:181:221} = 40001; f=400; i=201; j=20

(1,1,11) = {1:1:242:21:221:265} = 58565; f=484; i=243; j=22

(1,1,12) = {1:1:288:23:265:313} = 82945; f=576; i=289; j=24

(1,1,13) = {1:1:338:25:313:365} = 114245; f=676; i=339; j=26

(1,1,14) = {1:1:392:27:365:421} = 153665; f=784; i=393; j=28

(1,1,15) = {1:1:450:29:421:481} = 202501; f=900; i=451; j=30

(1,1,16) = {1:1:512:31:481:545} = 262145; f=1024; i=513; j=32

(1,1,17) = {1:1:578:33:545:613} = 334085; f=1156; i=579; j=34

(1,1,18) = {1:1:648:35:613:685} = 419905; f=1296; i=649; j=36

(1,1,19) = {1:1:722:37:685:761} = 521285; f=1444; i=723; j=38

(1,1,20) = {1:1:800:39:761:841} = 640001; f=1600; i=801; j=40

vqc$ q -e1 -n1 -t 1 20 –format binary

-------------

Enumerating e=only 1, n=only 1, for values of t between 1 and 20.

-------------

(1,1,1) = {01:01:010:01:01:0101} 1

(1,1,2) = {01:01:01000:011:0101:01101} 5

(1,1,3) = {01:01:010010:0101:01101:011001} 5

(1,1,4) = {01:01:0100000:0111:011001:0101001} 1

(1,1,5) = {01:01:0110010:01001:0101001:0111101} 1

(1,1,6) = {01:01:01001000:01011:0111101:01010101} 5

(1,1,7) = {01:01:01100010:01101:01010101:01110001} 5

(1,1,8) = {01:01:010000000:01111:01110001:010010001} 1

(1,1,9) = {01:01:010100010:010001:010010001:010110101} 1

(1,1,10) = {01:01:011001000:010011:010110101:011011101} 5

(1,1,11) = {01:01:011110010:010101:011011101:0100001001} 5

(1,1,12) = {01:01:0100100000:010111:0100001001:0100111001} 1

(1,1,13) = {01:01:0101010010:011001:0100111001:0101101101} 1

(1,1,14) = {01:01:0110001000:011011:0101101101:0110100101} 1

(1,1,15) = {01:01:0111000010:011101:0110100101:0111100001} 5

(1,1,16) = {01:01:01000000000:011111:0111100001:01000100001} 1

(1,1,17) = {01:01:01001000010:0100001:01000100001:01001100101} 1

(1,1,18) = {01:01:01010001000:0100011:01001100101:01010101101} 5

(1,1,19) = {01:01:01011010010:0100101:01010101101:01011111001} 5

(1,1,20) = {01:01:01100100000:0100111:01011111001:01101001001} 1

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830590 No.12123

Here's a fun little exercise using a few vintage concepts, based on forcing row one to give us the information we need.

I was thinking on why the binary patterns show up in N and cN, so I started playing around with cN in row 1.

I multiplied c * N = 145 * 61 = 8845 for our new c value.

sqrt(8845) = 94 r9

new e value is 9, here's row one. All the lowest primes show up immediately, including a=5 and b=29

vqc$ q -e9 -n1 -t 1 50

--------------

Enumerating e=only 9, n=only 1, for values of t between 1 and 50.

--------------

(9,1,1) = {9:1:6:1:5:9} = 45; f=4; i=7; j=2

(9,1,2) = {9:1:12:3:9:17} = 153; f=16; i=13; j=4

(9,1,3) = {9:1:22:5:17:29} = 493; f=36; i=23; j=6

(9,1,4) = {9:1:36:7:29:45} = 1305; f=64; i=37; j=8

(9,1,5) = {9:1:54:9:45:65} = 2925; f=100; i=55; j=10

(9,1,6) = {9:1:76:11:65:89} = 5785; f=144; i=77; j=12

(9,1,7) = {9:1:102:13:89:117} = 10413; f=196; i=103; j=14

(9,1,8) = {9:1:132:15:117:149} = 17433; f=256; i=133; j=16

(9,1,9) = {9:1:166:17:149:185} = 27565; f=324; i=167; j=18

(9,1,10) = {9:1:204:19:185:225} = 41625; f=400; i=205; j=20

(9,1,11) = {9:1:246:21:225:269} = 60525; f=484; i=247; j=22

(9,1,12) = {9:1:292:23:269:317} = 85273; f=576; i=293; j=24

(9,1,13) = {9:1:342:25:317:369} = 116973; f=676; i=343; j=26

(9,1,14) = {9:1:396:27:369:425} = 156825; f=784; i=397; j=28

(9,1,15) = {9:1:454:29:425:485} = 206125; f=900; i=455; j=30

Not too shabby lol. I wonder if the lowest available primes will also show up in (e,1) for RSA sized cN…

Did we already try this idea out lads??

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bd2d8d No.12124

File: c59c6003f02cc47⋯.jpg (289.85 KB,1066x750,533:375,AllTimeMAGA.jpg)

File: 0eef6c9fb3a8bae⋯.jpg (163.74 KB,1000x918,500:459,BarronMeme.jpg)

File: dc7cee483a137d9⋯.jpeg (35.28 KB,640x480,4:3,BD_Saints.jpeg)

File: c8c744b96339417⋯.jpg (78.22 KB,720x718,360:359,CatchingMexicans.jpg)

File: 3d12ada3b418ef1⋯.jpg (30.43 KB,400x212,100:53,Aleksandr_Solzhenitsyn_Ima….jpg)

Program idea:

pyrate, pma, aaaaaaaaaaaaa

Posting to the board from our chat channel.

Overview:

generate a shit ton of elements in (e,1), then sift them using binary to find binary tag matches.

The amount of computational power expended here doesn't matter, we're looking for patterns in (e,1) using the binary tags.

Any distance between matching elements is a potential (n) value, since recurring BINARY ending tags can reveal (a prime)

use RSA100

generate 1M [a] values, in binary. Starting point is (e+1)/2 = a[1]

RSA100e =

61218444075812733697456051513875809617598014768503

Starting a[1] value is:

(61218444075812733697456051513875809617598014768504) / 2 =

30609222037906366848728025756937904808799007384252 = a[1]

Program steps:

1. start with a[1]

1. generate the next 1M elements. (xx+e)/2 = a This is the way.

2. sort them using binary elimination. There will be two groups. Each group gets smaller for each recursive search.

3. search is from left to right for each of the 1M a[t] values, starting with the lowest binary value 01.

4. we halve all remaining a[t] values each time we run the search.

5. This meets all the criteria VQC gave us.

6. When we have binary tag matches, we measure the distance in [t] values between them. These distances are potential (solution n) values.

7. Program creates a table of all remaining a[t] values that match, for each step of the recursive search.

8. we end up with a bunch of potential matches.

9. Then we use the (an) a(n-1) (bn) b(n-1) checks to verify

10. We solve this problem and blow up the Death Star of lies.

I think that's a pretty good plan of attack.

This is beyond my programming skill level at the moment.

Spicy memes included.

Lots of chatter on Telegram, Ghost Ezra is blowing up the Zionist thang.

Included a very spicy Solzhenitzen quote. Yikes if true.

Everything we've been taught is False if so, and that's why I'm still here on this quest.

I love Truth and Justice.

VA

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bd2d8d No.12125

For our RSA100 example, the correct formula for generating the next a[t[] values in (e,1) is just (xx+e+1)/2 = a

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bd2d8d No.12126

File: a80fdfeb8bc0136⋯.png (375.98 KB,500x398,250:199,MemeTekel.png)

I don't care what the Truth is, I just want to know it.

As Rational beings, we all seek factual connections between A is A, and the relief that comes with discovering something that is TRUE, like 2+2=4.

This Movement is about factual Truth, and the desire to Expose Lies.

This Board, Quest, and Q Exploration are about Freedom.

Freedom to Live

Freedom to Think Freely

Freedom to Speak Freely

Freedom to say "NO" to the Cabal and all their Evil filth.

We are the People

We are the Truth Speakers

We are the Researchers

We are the Free Army of Men and Women chosen to fight against incredible odds.

We do not quit, We Persist.

We are watching

We are waiting.

We are Praying.

We are Digging.

We are Memeing.

We are wide awake and you are TERRIFIED.

And you should be, you Evil Pedophile Faggots.

We are coming for you.

We Know.

Everybody knows.

The writing is on the wall.

MEME MEME TEKEL UPHARSIN

We The People are gonna take your asses Down.

And make a better World for our Children.

Bye Death Star.

Bye One ring.

Bye Death.

Hello Jesus.

Smiting the Devil in his Pimply face.

And putting Evil underfoot, once again.

Let it be so.

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3d38d0 No.12127

Sus sussy!

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3d38d0 No.12128

Uh oh imposter Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!! Uh oh imposter sus!!!

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3d38d0 No.12129

⠀⠀⠀⡯⡯⡾⠝⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⠘⡮⣣⠪⠢⡑⡌

⠀⠀⠀⠟⠝⠈⠀⠀⠀⠡⠀⠠⢈⠠⢐⢠⢂⢔⣐⢄⡂⢔⠀⡁⢉⠸⢨⢑⠕⡌

⠀⠀⡀⠁⠀⠀⠀⡀⢂⠡⠈⡔⣕⢮⣳⢯⣿⣻⣟⣯⣯⢷⣫⣆⡂⠀⠀⢐⠑⡌

⢀⠠⠐⠈⠀⢀⢂⠢⡂⠕⡁⣝⢮⣳⢽⡽⣾⣻⣿⣯⡯⣟⣞⢾⢜⢆⠀⡀⠀⠪

⣬⠂⠀⠀⢀⢂⢪⠨⢂⠥⣺⡪⣗⢗⣽⢽⡯⣿⣽⣷⢿⡽⡾⡽⣝⢎⠀⠀⠀⢡

⣿⠀⠀⠀⢂⠢⢂⢥⢱⡹⣪⢞⡵⣻⡪⡯⡯⣟⡾⣿⣻⡽⣯⡻⣪⠧⠑⠀⠁⢐

⣿⠀⠀⠀⠢⢑⠠⠑⠕⡝⡎⡗⡝⡎⣞⢽⡹⣕⢯⢻⠹⡹⢚⠝⡷⡽⡨⠀⠀⢔

⣿⡯⠀⢈⠈⢄⠂⠂⠐⠀⠌⠠⢑⠱⡱⡱⡑⢔⠁⠀⡀⠐⠐⠐⡡⡹⣪⠀⠀⢘

⣿⣽⠀⡀⡊⠀⠐⠨⠈⡁⠂⢈⠠⡱⡽⣷⡑⠁⠠⠑⠀⢉⢇⣤⢘⣪⢽⠀⢌⢎

⣿⢾⠀⢌⠌⠀⡁⠢⠂⠐⡀⠀⢀⢳⢽⣽⡺⣨⢄⣑⢉⢃⢭⡲⣕⡭⣹⠠⢐⢗

⣿⡗⠀⠢⠡⡱⡸⣔⢵⢱⢸⠈⠀⡪⣳⣳⢹⢜⡵⣱⢱⡱⣳⡹⣵⣻⢔⢅⢬⡷

⣷⡇⡂⠡⡑⢕⢕⠕⡑⠡⢂⢊⢐⢕⡝⡮⡧⡳⣝⢴⡐⣁⠃⡫⡒⣕⢏⡮⣷⡟

⣷⣻⣅⠑⢌⠢⠁⢐⠠⠑⡐⠐⠌⡪⠮⡫⠪⡪⡪⣺⢸⠰⠡⠠⠐⢱⠨⡪⡪⡰

⣯⢷⣟⣇⡂⡂⡌⡀⠀⠁⡂⠅⠂⠀⡑⡄⢇⠇⢝⡨⡠⡁⢐⠠⢀⢪⡐⡜⡪⡊

⣿⢽⡾⢹⡄⠕⡅⢇⠂⠑⣴⡬⣬⣬⣆⢮⣦⣷⣵⣷⡗⢃⢮⠱⡸⢰⢱⢸⢨⢌

⣯⢯⣟⠸⣳⡅⠜⠔⡌⡐⠈⠻⠟⣿⢿⣿⣿⠿⡻⣃⠢⣱⡳⡱⡩⢢⠣⡃⠢⠁

⡯⣟⣞⡇⡿⣽⡪⡘⡰⠨⢐⢀⠢⢢⢄⢤⣰⠼⡾⢕⢕⡵⣝⠎⢌⢪⠪⡘⡌⠀

⡯⣳⠯⠚⢊⠡⡂⢂⠨⠊⠔⡑⠬⡸⣘⢬⢪⣪⡺⡼⣕⢯⢞⢕⢝⠎⢻⢼⣀⠀

⠁⡂⠔⡁⡢⠣⢀⠢⠀⠅⠱⡐⡱⡘⡔⡕⡕⣲⡹⣎⡮⡏⡑⢜⢼⡱⢩⣗⣯⣟

⢀⢂⢑⠀⡂⡃⠅⠊⢄⢑⠠⠑⢕⢕⢝⢮⢺⢕⢟⢮⢊⢢⢱⢄⠃⣇⣞⢞⣞⢾

⢀⠢⡑⡀⢂⢊⠠⠁⡂⡐⠀⠅⡈⠪⠪⠪⠣⠫⠑⡁⢔⠕⣜⣜⢦⡰⡎⡯⡾⡽

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3d38d0 No.12130

⠀⠀⠀⡯⡯⡾⠝⠘⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⠀⠀⠀⢊⠘⡮⣣⠪⠢⡑⡌

⠀⠀⠀⠟⠝⠈⠀⠀⠀⠡⠀⠠⢈⠠⢐⢠⢂⢔⣐⢄⡂⢔⠀⡁⢉⠸⢨⢑⠕⡌

⠀⠀⡀⠁⠀⠀⠀⡀⢂⠡⠈⡔⣕⢮⣳⢯⣿⣻⣟⣯⣯⢷⣫⣆⡂⠀⠀⢐⠑⡌

⢀⠠⠐⠈⠀⢀⢂⠢⡂⠕⡁⣝⢮⣳⢽⡽⣾⣻⣿⣯⡯⣟⣞⢾⢜⢆⠀⡀⠀⠪

⣬⠂⠀⠀⢀⢂⢪⠨⢂⠥⣺⡪⣗⢗⣽⢽⡯⣿⣽⣷⢿⡽⡾⡽⣝⢎⠀⠀⠀⢡

⣿⠀⠀⠀⢂⠢⢂⢥⢱⡹⣪⢞⡵⣻⡪⡯⡯⣟⡾⣿⣻⡽⣯⡻⣪⠧⠑⠀⠁⢐

⣿⠀⠀⠀⠢⢑⠠⠑⠕⡝⡎⡗⡝⡎⣞⢽⡹⣕⢯⢻⠹⡹⢚⠝⡷⡽⡨⠀⠀⢔

⣿⡯⠀⢈⠈⢄⠂⠂⠐⠀⠌⠠⢑⠱⡱⡱⡑⢔⠁⠀⡀⠐⠐⠐⡡⡹⣪⠀⠀⢘

⣿⣽⠀⡀⡊⠀⠐⠨⠈⡁⠂⢈⠠⡱⡽⣷⡑⠁⠠⠑⠀⢉⢇⣤⢘⣪⢽⠀⢌⢎

⣿⢾⠀⢌⠌⠀⡁⠢⠂⠐⡀⠀⢀⢳⢽⣽⡺⣨⢄⣑⢉⢃⢭⡲⣕⡭⣹⠠⢐⢗

⣿⡗⠀⠢⠡⡱⡸⣔⢵⢱⢸⠈⠀⡪⣳⣳⢹⢜⡵⣱⢱⡱⣳⡹⣵⣻⢔⢅⢬⡷

⣷⡇⡂⠡⡑⢕⢕⠕⡑⠡⢂⢊⢐⢕⡝⡮⡧⡳⣝⢴⡐⣁⠃⡫⡒⣕⢏⡮⣷⡟

⣷⣻⣅⠑⢌⠢⠁⢐⠠⠑⡐⠐⠌⡪⠮⡫⠪⡪⡪⣺⢸⠰⠡⠠⠐⢱⠨⡪⡪⡰

⣯⢷⣟⣇⡂⡂⡌⡀⠀⠁⡂⠅⠂⠀⡑⡄⢇⠇⢝⡨⡠⡁⢐⠠⢀⢪⡐⡜⡪⡊

⣿⢽⡾⢹⡄⠕⡅⢇⠂⠑⣴⡬⣬⣬⣆⢮⣦⣷⣵⣷⡗⢃⢮⠱⡸⢰⢱⢸⢨⢌

⣯⢯⣟⠸⣳⡅⠜⠔⡌⡐⠈⠻⠟⣿⢿⣿⣿⠿⡻⣃⠢⣱⡳⡱⡩⢢⠣⡃⠢⠁

⡯⣟⣞⡇⡿⣽⡪⡘⡰⠨⢐⢀⠢⢢⢄⢤⣰⠼⡾⢕⢕⡵⣝⠎⢌⢪⠪⡘⡌⠀

⡯⣳⠯⠚⢊⠡⡂⢂⠨⠊⠔⡑⠬⡸⣘⢬⢪⣪⡺⡼⣕⢯⢞⢕⢝⠎⢻⢼⣀⠀

⠁⡂⠔⡁⡢⠣⢀⠢⠀⠅⠱⡐⡱⡘⡔⡕⡕⣲⡹⣎⡮⡏⡑⢜⢼⡱⢩⣗⣯⣟

⢀⢂⢑⠀⡂⡃⠅⠊⢄⢑⠠⠑⢕⢕⢝⢮⢺⢕⢟⢮⢊⢢⢱⢄⠃⣇⣞⢞⣞⢾

⢀⠢⡑⡀⢂⢊⠠⠁⡂⡐⠀⠅⡈⠪⠪⠪⠣⠫⠑⡁⢔⠕⣜⣜⢦⡰⡎⡯⡾⡽

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3d38d0 No.12131

Bro you actin’ mad sussy! Guys I found the imposter! Imposter sus! Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

Imposter sus!

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3d38d0 No.12132

Who is Sususs Amongus? Sususs Among-us was an emperor or ruler of Western Rome. Sususs among Us was said to be in power from 375 AD to 392 AD. According to Wikipedia, he was born in 371 AD and died on 15th May 392 AD in the city of Vienne, France.

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3d38d0 No.12133

What is so funny about sussus amogus?!

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3d38d0 No.12134

STOP POSTING ABOUT AMONG US! IM TIRED OF SEEING IT!! MY FRIENDS ON TIKTOK SEND ME MEMES, ON DISCORD ITS FUCKING MEMES. I was in a server, right? And ALLLLLLLLLLLL of the channels are just Among Us stuff. I SHOWED MY CHAMPION UNDERWEAR TO MY GIRLFRIND AND THE LOGO I FLIPPED IT AND I SAID "HEY BABE WHEN THE UNDERWEAR SUS!" HAHAHAHA DING DING DING DING DING DING DING, DING DING DING. I FUCKING LOOKED AT A TRASHCAN AND I SAY "tHats a bIt sUssy!!" I LOOK AT MY PENIS AND I THINK OF THE ASTRONAUT'S HELMET AND I GO "PENIS MORE LIKE PEENSUS" AAAAAAAAAAAAAAAAAAAAAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

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3d38d0 No.12135

Imagine, 700 years in the future, through some last vestige of the internet kept in an underground server, a notification miraculously appears on your device (which has been preserved in nuclear dust from the 5th world war). One night, an alien working a late shift at the museum of archeology notices the cracked screen suddenly light up, and upon it, one word arises from the battered code: Amogus. They do not know what this word means. They ponder it deeply. They scour the ancient tomes, desperate to understand its mystifying origin. It drives them mad. Is it a primeval cipher? The motto of a bygone civilization? A message from God? Night after night they study it by candlelight. They flip through pages in books so old, the slightest cough would turn the paper to a fine off-white powder. The answer is nowhere to be found. And then they are struck by a revelation: I was not meant to know this word. Its esoteric nature escapes my grasp for a reason. What if its meaning is too enlightening to bear? With this revelation comes anger. Spite. Despair. Why shouldn't I understand it?! What cosmic forces are there at play to keep me from such knowledge?! In a fit of desperate rage, they shatter your device against a wall and exclaim, arms raised to the heavens: "This is literally 1984!" Silence… Their pleas are unanswered. Sadly, in the end, their inability to unlock the word's meaning drives them to suicide. Its secrets are never known. So I ask you this: is it better to die having never understood the true mind-bending nature of Amogus, or to be driven mad by the little spaceman in his blood-red suit? If you knew enlightenment would render you incapable of living on this mortal earth without making daily references to a game of space mafia, would you accept it? With knowledge comes power, but also endless suffering. Choose wisely, and be wary when standing at the edge of that great abyss we call "the Truth," lest you fall too deep.

(Nah man)
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ce7da0 No.12136

YouTube embed. Click thumbnail to play.

Maths fun that may or may not be helpful!

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ce7da0 No.12137

YouTube embed. Click thumbnail to play.

While we're at it, let's prove or disprove 3x+1.

Fuck it.

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12bd05 No.12138

File: e064132c242fe35⋯.jpg (56.07 KB,784x441,16:9,BillClintonIsARapist.jpg)

File: 86528c73a824704⋯.jpg (879.93 KB,2048x1472,32:23,Church_Of_Kek.jpg)

File: f089840fd8d4f4e⋯.jpg (41.52 KB,480x662,240:331,DaysWithoutWinning.jpg)

File: 446f7cc6767b402⋯.png (156.61 KB,500x281,500:281,Dash_Math_Fags.png)

File: ff4e66957bb9b4f⋯.jpg (88.51 KB,736x751,736:751,IAmGrowingStronger.jpg)

Hello Lads. Still here. Still believing. Let's do this.

(e,1) patterns hold the solution.

Yup.

Looking again cuz I love Math lol.

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92b8bd No.12139

Hello Anons. I have something interesting from my analysis today.

I'm comparing a[t] values in (e,1) and (-f,1), using a'/(a'-a") = n

so basically I'm calculating n for each a[t] grouping in (e,1) and (-f,1)

its mostly decimals, but they seem to be approaching n, in the sense that the mantissa of the decimals keeps growing towards a whole integer, until it hits n

If this holds true, we could calculate the slope of that increase, and pinpoint n

for c145, here's the breakdown

t[1] = 1/(1- -10) = 1/11 = 0.09090909

t[2] = 5/(5- -4) = 5/9 = 0.5555555

t[3] = 13/(13-6) = 13/7 = 1.857

t[4] = 25/(25-20) = 25/5 = 5.000000

So notice the mantissa values:

0.090909

0.5555555

0.857

0.0000

They trend towards 0.0000, which would be our n value

Again, if they are trending towards a whole number, the slope of the changing mantissa could be used to calculate the endpoint, which should be our n value.

"There is a pattern of n vs (n-1) values in (e,1) and (-f,1) that creates an offset. This offset is sufficient to provide the solution"

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92b8bd No.12140

>>12139

This is a new idea to this board, and it incorporates almost every principle we've worked on.

I'll test further with other c values, as AA would certainly request (very reasonable, in fact).

However, I request anyone able and willing to join me and examine this new idea to see if it has merit.

Thank you in advance, Anons.

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41d44d No.12141

>>12140

My idea is to pick up an abstract algebra book then a number theory book. (Algebraic number theory is the goal)

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ce7da0 No.12143

YouTube embed. Click thumbnail to play.

Aight, so… Fractals.

The secret of the Freemasons is poured concrete of any kind of rock.

All you need is a lens focused at a point.

Magnifying glass on ants.

Sun-kissed lava, at our discretion

Free Pour, Free Masonry.

They weren't cutting or transporting stone.

Either by a chemical/alchemical reaction would they make concrete…

Or they would simply focus the sun to melt a stone into form.

A cast.

A mold.

A fractal.

All in accordance with effectively "sacred" geometry.

It's not that they stopped… it's just that we have new materials and ways of running power.

I know this applies.

I feels it.

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92b8bd No.12144

>>12143

Alright, so q'=q*qc

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92b8bd No.12145

meaning simply that (e,1) is easier.

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92b8bd No.12146

bedtime.

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ce7da0 No.12147

YouTube embed. Click thumbnail to play.

>>12144

However you need to put it.

But the sun harnessing is real.

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92b8bd No.12149

>>12147

Alright here's the details on my new idea. Using principles from c' = q * c, along with factor chain ideas.

Main idea: multiply c by low primes, creating a new c. Then move to (e,1) to locate the low prime factors. Once located, build a factor ladder using the known low prime factors, and locate (a prime)

Here's 6107 x 3 x 5 = 91605

vqc$ g c 91605

(401,45501,151) = {401:45501:302:301:1:91605} = 91605; f=204; i=45803; j=45802

Current (401,45501,151): (401,45501,151) = {401:45501:302:301:1:91605} = 91605; f=204; i=45803; j=45802

vqc$ mv t1

(401,1,1) = {401:1:202:1:201:205} = 41205; f=4; i=203; j=2

Current (401,1,1): (401,1,1) = {401:1:202:1:201:205} = 41205; f=4; i=203; j=2

vqc$ q -e401 -n1 -t1 100

----------------

Enumerating e=only 401, n=only 1, for values of t between 1 and 100.

----------------

(401,1,1) = {401:1:202:1:201:205} = 41205; f=4; i=203; j=2

(401,1,2) = {401:1:208:3:205:213} = 43665; f=16; i=209; j=4 <<<=== first a[t] appearance of 5, now skip 5 t values

(401,1,3) = {401:1:218:5:213:225} = 47925; f=36; i=219; j=6

(401,1,4) = {401:1:232:7:225:241} = 54225; f=64; i=233; j=8

(401,1,5) = {401:1:250:9:241:261} = 62901; f=100; i=251; j=10

(401,1,6) = {401:1:272:11:261:285} = 74385; f=144; i=273; j=12

(401,1,7) = {401:1:298:13:285:313} = 89205; f=196; i=299; j=14 <<<=== 2nd a[t] appearance of 5 , now skip 5 more t values

(401,1,8) = {401:1:328:15:313:345} = 107985; f=256; i=329; j=16

(401,1,9) = {401:1:362:17:345:381} = 131445; f=324; i=363; j=18

(401,1,10) = {401:1:400:19:381:421} = 160401; f=400; i=401; j=20

(401,1,11) = {401:1:442:21:421:465} = 195765; f=484; i=443; j=22

(401,1,12) = {401:1:488:23:465:513} = 238545; f=576; i=489; j=24 <<<==== 3rd a[t] right here. 3 x 5 x 31 = 465 = (a prime) * 15 = Solved for c= 6107

(401,1,13) = {401:1:538:25:513:565} = 289845; f=676; i=539; j=26

(401,1,14) = {401:1:592:27:565:621} = 350865; f=784; i=593; j=28

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92b8bd No.12150

>>12147

Btw Tops, this is fkn awesome.

As was the video about the Great Pyramid.

I'm gonna build one too.

Think if you harnessed this with a water system similar to a nuclear power plant, where steam turns a turbine, generates electricity, and then the steam is distilled back into water in a closed loop. You could connect it to a Tesla powerwall and run your whole house off that shit. Free energy for eveybody!

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92b8bd No.12151

File: a951f25454d75e9⋯.jpg (1.14 MB,1920x1080,16:9,Rainbow_Dash_USA.jpg)

File: fc34491c98c6b20⋯.png (24.5 KB,508x518,254:259,c6107_f_anf_n_minus_1.png)

File: abce656b55bcd06⋯.png (838.42 KB,1000x1000,1:1,Screen_Shot_2021_09_14_at_….png)

File: b4ae3391f2f23ea⋯.png (158.53 KB,1306x421,1306:421,Satoshi_Crypto_Theories.png)

Found some favorites looking through my personal archives!

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92b8bd No.12152

File: 7ca3942a8c80bb3⋯.jpeg (47.46 KB,625x401,625:401,Boondock_Saints.jpeg)

>>12149

A few thoughts on the ideas I've posted.

1. The main problem in (e,1) for a given c is that we have no reference a[t] values/locations from which to find our factors of (a prime) and (b prime)

2. Every possible value of a and n is encoded in (e,1)

3. When we multiply our c value by lower primes (with a product equal to or less than d) we open up a whole new realm of exploration and possibility. The reason WHY is because now we can establish reference a[t] locations/values using our new c.

4. In addition, these new a[t] reference locations can be easily divided by each of the small primes we've hand picked, making a very fast and efficient algorithm possible, even over huge amount of a[t] data.

4. Some factors, like 5 for example, not only show up every 5 [t] values, but show up in their squares, cubes, etc. Meaning 5^1, 5^2, 5^3, etc. There has to be a "Gain of Function" (lol. fuck you Fauci) that we can glean from these repeating factors.

5. In short, we can use (e,1) to force itself to reveal any hidden factors using low primes. This is because (xx+e)/2=na.

6. When we multiply additional prime factors into our semi-prime c value, we create the ability to locate, categorize, and explore all the a[t] values in our new (e,1) very efficiently.

7. Location, location, location! It's the number 1 rule in buying real estate. It's the number one rule in the Grid. how to locate where you're at, what factors are there, and how to force a revealing of any hidden primes.

Personal Note for All Long Term VQC Anons:

I have been praying and meditating for wisdom to solve this problem with you all as a team. I prayed a blessing to my favorite dude Jesus for each of you this evening, hopefully I remembered everyone. Like asking him to bless your lives and bring you happiness in all the areas of your lives.

It would bring me much joy to solve this with you all, especially since we've all worked, invested, and sacrificed to be here as a team.

I believe strongly that my new ideas have merit, and are worthy of new programs and code being written. Thanks in advance for any help you are willing and able to provide.

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de0f69 No.12153

>>12149

>>12152

>4. In addition, these new a[t] reference locations can be easily divided by each of the small primes we've hand picked, making a very fast and efficient algorithm possible, even over huge amount of a[t] data.

c' = q * c

q = product of small primes <d

The best starting location in (e,1) I can think of would be a[c' * N]

We can move up or down from that location using q (the total product of all the small primes) OR any of the factors of q individually.

Also, we could test a[N] (aka the na transform element) with q and its factors. If divisible by any of the small primes, we have another anchor point to build and examine our factor chain.

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8bdcb3 No.12154

>>12153

Mathematics is when you begin with a proposition and prove it, say by induction. Pick up a book.

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0101ee No.12155

So, we take c and multiply it by q.

a * b * q = c'

starting at the element a[c' * N]

Meaning that we have concrete anchor points in (e,1) moving back up towards (na transform) and a[1]

q is the product of many small primes, meaning now we can us q itself, or any combo of the small primes to move using the factor tree rules.

Instead of only (na) (nb) a(n-1) and b(n-1) which are unknown, we now have many more reference points in the new (e,1) for c' = q * c

This gives us he ability to navigate our new (e,1) and force primes to appear.

This is the Navigation method we've been looking for.

Not to ignore your question on Discord PMA.

Yes, we are jumping to a new column for c'

and ALL THE FACTORS for (an) exist in that new column.

We could literally multiply c by another large prime, and then use that prime as a navigation point

Meaning, go to the new column, find a[c' * N] and then start working back up by skipping q[t] values

q * a * b = c'

So skipping [t] values by q forces a revealing of a or b

This is how to use (e,1) to force the revealing of a and/or b

We're literally taking a semiprime c and forcing it to have more factors by creating c' = q * a * b

now that we know q, we can navigate anywhere we want in the new (e,1) skipping by q[t] to examine potential (an) values

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cd4173 No.12156

File: bd2e52f7ea3339a⋯.png (53.16 KB,799x184,799:184,Screen_Shot_2021_09_26_01.png)

Hey AA. Is this a verified VQC post at the IP level? Only you could have this info.

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cd4173 No.12157

Worth Reading Again from RSA #17

>>10308

>>10327

>>10360

>>10364

>>10367

>>10385 (Switching to Binary)

>>10398 (quote below)

NOTHING is random.

Quantum versus Analog.

How can you calculate the Nth hexidecimal place of PI without calculating the predecessors?

Spigot function?

The biggest discovery in history towards using virtual quantum computer functions.

THE BINARY REPRESENTATION OF AN INTEGER CONTAINS THE TRAVERSAL CODE FOR INTEGER FACTORISATION.

It just has to be performed in the correct order at the CORRECT SCALE.

>>10401

Apologies for the delay.

The switch to binary is to show the order in which the reduction algorithm runs across the set in a[t] for any given c at [-f,1] and [e,1] between the value of a[1] and a[t] = Nc, where all values of n are found, where there is the empty of values, c is prime and the algorithm terminates, hence why finding a prime is a worst case, though given this is O(log q) where q is the length in bits, this is still lightning fast.

Remember, [-f,1] MUST contain a value of (n-1) for each (even if only one) value of 'n' in [e,1].

Is it possible to highlight this for the previous examples?

What are the values of 'n' and (n-1) for those?

>>10407

You already have what you need.

Start writing the algorithm.

Each step in the loop should remove AT LEAST half of the set between a[0] and the value for BigN (or BigN-1) multiplied by c.

Write the algorithm, start with the skeleton and I will correct it.

We can cut to the HOW, and if you'd like, we can come back to the diagrams of WHY.

Start with how you think the algorithm will begin, then there is a reducing loop based on a condition.

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cd4173 No.12158

THE BINARY REPRESENTATION OF AN INTEGER CONTAINS THE TRAVERSAL CODE FOR INTEGER FACTORISATION.

It just has to be performed in the correct order at the CORRECT SCALE.

AA. Time to Work.

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cd4173 No.12159

>>12157

AA, can you please check the IP's of these posts? Want to know if they were actually from VQC, or another anon.

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ce7da0 No.12160

Geez… the images are having quite the loading problem, aren't they?

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cd4173 No.12161

>>12160

Yeah my images aren't loading either, Tops.

>>10626

>>10627

>>10628

Very detailed and well thought out posts by AA. Worth reading again, everyone.

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4a5686 No.12162

>>12156

Are you unable to judge a post from its content?

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36e5c7 No.12163

File: bd07dc720a703db⋯.png (738.08 KB,1876x393,1876:393,Screenshot_at_2021_10_01_1….png)

Teach died for our sins…

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ce7da0 No.12164

YouTube embed. Click thumbnail to play.

Images are still down, I see.

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cafbdd No.12165

Hello Lads.

Just enjoying some math(s) over here.

double checking e=2c at pma's recommendation.

also, negative x is back in play. working to see what happens, or to find the "Heaven Column" that Jan coined.

for c145, e=2c is e=290

How do we use this info?

for me, the key idea would be using 145 to navigate in (e,1). That's just my thought. Any other ideas, Anons?

So for example:

since a[1] =

(290,1,1) = {290:1:145:0:145:147} = 21315; f=1; i=146; j=1

we have a=c

t=(0+2)/2 = 1

so 1+145 = 146 = t

here's that record:

(290,1,146) = {290:1:42485:290:42195:42777} = 1804975515; f=84681; i=42486; j=291

same thing again, 146+145 = 291

(290,1,291) = {290:1:168925:580:168345:169507} = 28535655915; f=337561; i=168926; j=581

also, moving back up into negative x as @pma suggested:

t = 1-145 = -144

(290,1,-144) = {290:1:41905:-290:42195:41617} = 1756029315; f=83521; i=41906; j=-289

Nothing popping out yet, but double checking all ideas.

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cafbdd No.12166

They key idea i'd like to communicate to this board (you) is this:

I'm still working on this excellent math problem, as IRL permits.

I still think about it almost daily in my sleep, work, and free time.

The problem pops into my brain at all random times.

It won't leave me alone till it's solved.

It makes me happy to have a nerdy hobby doing shit I like to do.

These quiet moments alone thinking about the grid and all it contains bring me deep satisfaction.

I work my ass off most of the week to provide sustenance.

When my work is done, it brings me pleasure to read and post here.

Coming here is like diving into a deep and refreshing pool of knowledge and friendship.

I like being here with all you fellow nerdy faggots. It makes me happy.

It makes me happy when I look through my archives and see all the cool ideas we've explored.

So much good work.

I honestly believe we are gonna solve this thing.

The key is to keep going.

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cafbdd No.12167

I see all the pieces of the problem floating through my brain at all hours of the day and night. I can't turn it off, and I've simply accepted that about myself.

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72aa92 No.12168

Just found something very interesting for a specific c.

Could be nothing, just posting now to record the idea before I fall asleep.

N or (N-1) contains e multiplied by two many times, plus (prime a)

For c6107:

23 * 2^7 + 31 = 2975 = (N-1)

So in this specific instance, we multiply e by powers of 2, <(N-1). The remainder gives up (a prime)

Need to check other c values, but this is a new idea.

To be clear:

Set goal as N or (N-1)

Take e

Multiply by powers of 2 until N or (N-1) is reached

e * powers of 2 < N or (N-1) should pop out (a prime)

That’s my idea in progress

Very elegant if it actually works for other c values.

Who knows. Just having fun thinking over here. I’ll run a few more c values.

Seems like this could be the formula:

e * 2^m + (a prime)= N or (N-1)

Simply iterate powers of 2 * e and find the remainder (a prime)

Here’s how I arrived at this idea:

for c6107

(N-1) = 2975

Minus (a prime) = 2975 - 31 = 2944

2944 / 2 = 1472

1472 /2 = 736

736 / 2 = 368

368 / 2 = 184

184 / 2 = 92

92 / 2 = 46

46 / 2 = 23

23 = e for c6107

finding e as a factor hiding in plain sight

Even if it only works for this c, still cool to find e as a factor so easily.

The key idea is our theory and working practice of how numbers are built and/or constructed.

Take a known, subtract (a prime), and analyze

I’m also calculating (f-2)/8 = 16 r 6

23 * 16 *2 * 2 * 2 = 2944

2975 - 2944 = 31

Bringing back that triangle fun that we worked on.

e * [(f-2)/8] * 2^m + (a prime) = N or (N-1)

Idea:

If we know that e is a factor of N - a

Or

A factor of (N-1) -a

Then we can multiply e by powers of 2 and find the missing puzzle piece

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72d664 No.12169

What is it about the binary construction of numbers that allows us to see more information?

Powers of 2 + remainder

and the remainder often repeats.

vis a vis c145

101 repeats all through (e,1) like a wave function

Current (0,1,1): (0,1,1) = {0:1:0:0:0:2} = 0; f=1; i=1; j=1

vqc$ q -e1 -n1 -t1 50 –format binary

---------------

Enumerating e=only 1, n=only 1, for values of t between 1 and 50.

---------------

(1,1,1) = {01:01:010:01:01:0101}

(1,1,2) = {01:01:01000:011:0101:01101}

(1,1,3) = {01:01:010010:0101:01101:011001}

(1,1,4) = {01:01:0100000:0111:011001:0101001}

(1,1,5) = {01:01:0110010:01001:0101001:0111101}

(1,1,6) = {01:01:01001000:01011:0111101:01010101}

(1,1,7) = {01:01:01100010:01101:01010101:01110001}

(1,1,8) = {01:01:010000000:01111:01110001:010010001}

(1,1,9) = {01:01:010100010:010001:010010001:010110101}

(1,1,10) = {01:01:011001000:010011:010110101:011011101}

(1,1,11) = {01:01:011110010:010101:011011101:0100001001}

(1,1,12) = {01:01:0100100000:010111:0100001001:0100111001}

(1,1,13) = {01:01:0101010010:011001:0100111001:0101101101}

(1,1,14) = {01:01:0110001000:011011:0101101101:0110100101}

(1,1,15) = {01:01:0111000010:011101:0110100101:0111100001}

(1,1,16) = {01:01:01000000000:011111:0111100001:01000100001}

(1,1,17) = {01:01:01001000010:0100001:01000100001:01001100101}

(1,1,18) = {01:01:01010001000:0100011:01001100101:01010101101}

(1,1,19) = {01:01:01011010010:0100101:01010101101:01011111001}

(1,1,20) = {01:01:01100100000:0100111:01011111001:01101001001}

to be clear, I'm talking about only a[t] values, more info to follow

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72d664 No.12170

Here are the specific a[t] values I’m taking about for c145:

t[1] = 1 = 1

t[2] = 5 = 4 +1 = 101

t[3] = 13 = 8 +4 + 1 = 1 101

t[6] = 61 = 32 + 16 + 8 + 4 + 1 = 0111 101

t[7] = 85 = 64 + 16 + 4 + 1 = 1010 101

t[10] = 181 = 128 + 32 + 16 + 4 + 1 = 1010 101

t[11] = 221 = 128 + 64 + 16 + 4 + 1 = 1010 101

t[14] = 365 = 256 + 64 + 8 + 4 + 1 = 101101 101

t[15] = 421 = 256 + 128 + 32 + 4 + 1 =101101 101

t[18] = 613 = 528 + 64 + 16 + 4 + 1 = 1001100 101

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b829f3 No.12171

Hello Lads. Let's enjoy some math exercises for a nice Friday evening.

MM, you still lurking? Would be nice to have your input this evening.

And all Anons, please report for duty.

Please remember, our Mission is to bring freedom and Truth to the world. 'Tis a noble cause, worthy of your mind, heart, and soul.

Remember all who have died in the service of Freedom and Liberty, from the 300 under Leonidas, to Socrates, to Christ, to Joan of Arc, to William Wallace.

We fight in our own way here as well. To solve a very difficult math problem which could illuminate the world with Truth.

In Faith, this problem is already solved, thanks to our determination.

Let's work.

Thanks to MM for this example, had to go find it.

>>11862

Gotten comfy with this one:

TC2:

c = 172931203

e = 8703

n = 88

d = 13150

x = 1433

a = 11717

b = 14759

f = 17598

N1 record (a=1)

c = 172931203

e = 8703

n = 86452452

d = 13150

x = 13149

a = 1

b = 172931203

f = 17598

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b829f3 No.12172

>>12171

I propose a binary a[t] examination of (e,1) for c = 172931203

I propose that repeating binary remainders will be found at equidistant a[t] values.

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b829f3 No.12173

>>12171

I found a working path to easily iterate the center of the (x+n)^2 area for two specific examples, which

which give us (n-1) and the key to solving. . This is work in progress, and is still a bit buggy, however, it's working (more or less). Maybe you guys can tweak it and make it work 100%.

This is work in progress, and would be VERY fascinating if it holds for larger c values.

The big idea is focused on the VERY CENTER of the (x+n)^2 area.

Remember the clue:

"We will be using f as a guide to constructing the (x+n) square"?

So two equations:

1. n^2 + 2d(n-1) + f -1 = (x+n)^2 (this is the normal one)

2. n^2 + (2d-1)(n-1) + f + (n-1) -1

(this is the one that separates one value of (n-1) and lets it combine in the middle with f)

So in the very middle we have f + (n-1)

Another way to write the second equation is as follows:

n^2 + (2d-1)(n-1) + 2d + 1 - e + n -1 -1

Or

n^2 + (2d-1)(n-1) + f - n - 2

You get the idea, lads. I'm playing with the equation.

Here's what gave me pause:

This is MM's favorite one to play with.

TC2:

c = 172931203

e = 8703

n = 88

d = 13150

x = 1433

a = 11717

b = 14759

f = 17598

f= 17598. What's the next biggest square?

Easy Calc

floor sqrt(17598) = 132

So the next biggest square would be 133 * 133 = 17689

17689 - f = 91 -1 -1 = 89

which is only 1 away from the solution n of 88

I find this highly interesting

"We use f as a guide to construct the (x+n) square"

By pushing f to the next biggest square, we create a new remainder which we have never defined.

for c6107, it's two steps

f =134 + 10 = 144 = not a match

f= 134 + 35 = 169 (a perfect square) and WTF 35 = (n-1)

PMA and AA, if we can get this close, could rm2dnm1 lock onto this and solve for the (x+n)^2 area?

Another new idea.

1. take f, push it to the next biggest square,

2. check for an (n-1) match

3. if no match, push to the next biggest square

4. check again for an (n-1) match

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11ec4b No.12174

I wonder what SATOSHI is doing right now. I wonder if he is happy with how BTC turned out.

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11ec4b No.12175

I always figured Topol would be the one to turn the lights out here but I guess I was wrong. I always liked this place since day 1. I hoped blockchains would be defeated. I still do but I don't think it will happen now. Immutable data storage. Forever. That is a long time.

My guess is that ETH was created first. It was a system like we see today but was supposed to be centralized. Satoshi was one of the people working on it. He had a conscience. He ripped BTC out of the code. Pure. Unadulterated. Limited. Then dumped it early.

Bitcoin was the event. It was not supposed to happen but it did. Eth had to be released openly instead of patented and controlled. Hoskins tried to lock it up with VC money early. A feint. The real control was the classic Boy Wonder bullshit that always convinces everyone. 'vitalik' 'gates' 'faceberg' 'jack' etc. Just a controlled tool to capture attention.

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11ec4b No.12176

Now comes the real fight. Will we be able to use it for 'good'? What does that even look like?

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26dacc No.12177

>>12175

>I always figured Topol would be the one to turn the lights out here but I guess I was wrong

I'm the one with the BO account, what do you mean

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5e5d0b No.12178

Here's a summary of all the work I've done related to the latest posts Chris made (from October 2020 >>11556 onwards). Obviously I didn't find the solution or I would have posted it already. Most of the concepts make sense and are consistent, but there is some stuff that is blatantly incorrect and unusable, and naturally he didn't provide enough information to get to the solution even if parts of it weren't completely incorrect. I'm still convinced it's real and that he isn't 100% full of shit, given everything he said that came out of nowhere and happened to be correct and consistent, but as we've all seen he isn't usually completely lucid. I'll sum it all up at the end.

A general summary of all of these posts is that he introduced a new unknown, 2d/x, which, if we can find it from knowns, will give us the solution. He related a bunch of different concepts to this ratio/division and said or implied that we can find it using these concepts in some way:

>the number of triangles of base n-1 in d(n-1)

>multiplying c by 4 or adding 2 to a and/or b and the patterns these calculations produce

>other ratios/divisions that are either equal or two away from 2d/x while sharing the same mantissa: x+2n/n-1, x/n-1, etc

>specifically testing with big numbers so that patterns become visible

>new variables g and z

>some new geometry based on "theta" versions of x and n

>kx(n-1) - k(n-1)x = f-1, which is meant to be based around the idea that k represents the ratio taken to a different number of significant digits each time

>rearranging the geometry of the (x+n)(x+n) square using the ratio (which for RSA100 would be 73n×73n+0.65595(n-1)x)

>continued fractions (which the golden and silver ratios are examples of)

There was some other stuff that he'd either already explained before but when he explained it here he didn't give it any relevance, or that just seemed to be generally irrelevant even if it was new information. I'm mostly going to go over the above list.

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5e5d0b No.12179

>the number of triangles of base n-1 in d(n-1)

>>11556 (pb)

This is relevant because (at least for most numbers) the sqrt of the number of n-1-base triangles in d(n-1) is equal to the whole number part of the 2d/x ratio minus 1. In this picture https://i.imgur.com/0HqxFZL.png you'll see that it didn't work for two of the factored RSA numbers, but they're both only off by 1 (and they're also barely above their whole number part, while the rest of them are at least 0.1 away, which could potentially hint at a pattern). From what I can tell, there isn't a whole lot of other useful information to be gained from knowing the number of triangles of base n-1 in d(n-1). Just looking at it, you would possibly think it could have something to do with 2d(n-1). I think it probably does geometrically, but not necessarily in a way that allows us to directly calculate anything. If you knew the exact number of triangles, you wouldn't have enough information to calculate n, 2d(n-1) or d(n-1), so it's kinda useless by itself.

Let's say d=8, n=5, d(n-1) = 32

A triangle of base 4 is 1+2+3+4=10

There are 3 triangles of base n-1 in d(n-1) in this case

So if we knew d=8 and tris=3, is there any way to know n=5 or d(n-1)=32?

8 multiplied by some number is equal to 3 triangles of that number plus another unknown remainder

The fact that it doesn't always equal the number we want also means there's more to it than just "find this number". In this second picture https://i.imgur.com/EFepxS3.png , you'll see, at least for the numbers I tried, that every example where the ratio is less than 0.1 away from the highest number below it, we end up two away with the square root of the number of n-1 triangles in d(n-1) (these examples all had as and bs that were quite far away from one another, for example the sixth one was a=43 b=189274819298298127143), and whenever n=1 (which is something we're most likely meant to check before running any factorization algorithm anyway), naturally the ratio is 0 and the number of triangles is 0. There could be more circumstances that prevent it from working that I didn't find too. In summary, if we find the number of triangles of base n-1 in d(n-1), it's most likely either going to be one or two less than the whole number part in 2d:x.

The main problem with this post is just that his math that he goes through to find this number doesn't make any fucking sense.

>The route to that short-cut depends on the relative lengths of d,e, and f. This is why it is hard to find the solution. If you didnt know there are types of numbers, you would know how to find the one you need etc.

>For RSA100 as an example, there are two lengths of f in d, leaving a gap or remaimder of subtracting 2f from d. You only need a rough match in length of unit. For RSA100 the easiest match is 2xf as 32 and the gap from d-2f as 5. For the type of number RSA100, you get there quickly. Divide f by 16 and the gap by 5, you'll immediately see an approximation of x.

>For RSA100 the easiest match is 2xf as 32

RSA100's f = -16822699634989797327123095165092932420211999031886. Presumably that means he got 2xf as 32 by taking the first two significant digits. But f varies significantly in length across different cs, so without giving explicit instructions (i.e. the number of significant digits we're supposed to use in any given situation, whether we're meant to always multiply something by 2) we can't really apply this to any other numbers.

>and the gap from d-2f as 5

RSA100's d = 39020571855401265512289573339484371018905006900194. If we use significant digits, it would have to be treated as 37 in order for this to make any sense. Unless "the gap from d-2f" refers to something that isn't "d-2f", using significant digits doesn't really work. However, using the whole numbers, d-2f = 5375172585421670858043383009298506178481008836422, and using significant digits based on this number's length being one less than that of d and 2f, we would get 5. But then why would we say we're meant to treat 2f as 16? Also if we use the whole number and then take the significant digits then 2f is 33.

>32+5=37

>Multiply by 2 (there are two sides of the square to complete). 37x2=74

I think the square he's referring to here is (d+n)(d+n), because the whole number part of 2d/x is 74 and it's represented visually using two rectangles of d(n-1). There are 74 lengths of x that can fit across 2d (or 37 across d), so this number multiplied by x equals 2d minus theta x (I'll get to the theta variables later). I don't know if there's a logical/geometric reason why these numbers work out like this, and I also don't know if there's a pattern to it, or what other equations are necessary for different numbers.

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5e5d0b No.12180

>>12179

>The square of this number is one less than the number of (n-1) based triangles in d(n-1).

This is wrong, but like I explained in the last paragraph he just got it the wrong way around. The square root of the number of n-1 triangles is one less than this number (most of the time, and with a remainder).

>Its the same for all the RSA numbers, you just need to understand how to order d,e, and f depending on their relative lengths. Thats why sometime n is crucial, sometime n-1, same for f, same for d.

Another thing to add to the list of "if you knew how to do this you could do x but I'm not going to tell you how to do it and the example I'm going to give you is impossible to reverse-engineer because my explanation is unnecessarily opaque".

Also to backtrack a little:

>Divide f by 16 and the gap by 5, you'll immediately see an approximation of x.

x here is 1045343918457591589480700584038743164339470261995. The gap divided by 5 is 1075034517084334171608676601859701235696201767284, and f divided by 16 is 1051418727186862332945193447818308276263249939492. They're both reasonably close, but not usably close. The fact that this works suggests there could be a pattern to it, but I didn't find anything useful from it other than just that it's kinda neat I guess.

So that example's all good and well, but where I ran into problems, like I already mentioned, was when I tried to reverse-engineer it and apply it to other numbers. I tried applying it to RSA110. The number we want for RSA110 is 86 (as you'll see in the first picture).

d = 5982828275968304004100317854118230313685793843723609073

e = 7251398426599644794623954759043454469676218891789649338

f = -4714258125336963213576680949193006157695368795657568809

d>f here, like with RSA100, except it isn't more than twice the size. So if you just take d-f, assuming the significant numbers thing is right, you get d=59, f=47, d-f=12, 12x2=24. If we're trying to find a number you would multiply by 2 to get 86, we'd need 43. The closest I got with the first two digits of these numbers was 2d-e=46 (or 47 if we use the whole numbers like I did in the previous example). If we use whole numbers, I got 4354235648148563265058814278685115691429037399050976560 (which has 43 as its first two significant digits) from 2(2f-e). We'd then have to multiply it by two again to get to 86. 2(2f-e) is oddly specific enough that I don't see how we'd find it, and I kinda doubt it's what we're actually meant to do for RSA110, but I wouldn't know. I wrote a brute force algorithm that tried a whole bunch of combinations of equations on each of the RSA numbers, and every number had a big list of successes. I haven't written anything to go through the list of successes to look for patterns or try them on other numbers yet, but even if I did, like he says in these posts, the whole number part of this ratio is small enough for the RSA numbers that we can just iterate it (the largest one is one hundred and something I think; it would get too big to iterate if 2d and x were quite far away from each other, but that only happens when a and b are really close together (like almost equal, not like RSA a and b distance)). What would be more important would be establishing a basis of logic within which any of this makes any sense, like, for example, why this works geometrically. I have no idea, so I can't really logically deduce what to do with any other given number. Either way, since it can be iterated for these numbers, it's way more important to find the mantissa of this ratio.

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5e5d0b No.12181

>multiplying c by 4 or adding 2 to a and/or b and the patterns these calculations produce

>>11557 (pb)

>>11742

>>11748

>>11757

>>11763

He already went over what changes when you add 2 to a or b in one of those posts. When you multiply c by a square you multiply a and b by the root of that square, and a bunch of the variables change slightly. What he said about rates of change implies that the pattern that emerges when you add two to a and/or b is relevant to finding the mantissa somehow. Even if there is a pattern, without knowing a or b we can't add two to them. So is there any context in which we can add to a and/or b without knowing what they're equal to? The only two I can think of are if you were to add to a and b from the BigN element or if you were to multiply c by a square. Since he mentioned the latter, that's the one I looked into.

When you multiply c by a square, d, n and x are all multiplied by the root of that square. That means all of the ratios (which are all based around these variables) stay exactly the same. If you multiply c by 4, you add a to a; if you multiply c by 9, you add 2a to a; etc. That's the only "rate of change" I can find within this pattern. The ratio staying the same does imply that maybe if you multiply c by some unknown square it could somehow make it easier to find the mantissa. But we still don't know how to find the mantissa, so there's no way to know what this "rate of change" stuff is even relevant to.

-

>other ratios/divisions that are either equal or two away from 2d/x while sharing the same mantissa: x+2n/n-1, x/n-1, etc

>>11668 (pb)

>>11669 (pb)

This is mostly true. As you can see in pic related https://i.imgur.com/YQ5FaKk.png , they aren't actually equal, and they're also not equal enough that you can use them interchangeably. They're undoubtedly very close, which quite obviously hints at a pattern, but if you were to for example use the mantissa from x+2n/n-1 and you were to divide 2d by that to find x, for RSA100, you would end up with an a value that was 59 away from the correct one https://i.imgur.com/UDayVAz.png . If there was any way to know how far away this mantissa was from the one we were looking for, that would be fine, but I haven't found one so far. So as much as these mantissae are very close to each other, they can't be used interchangeably, so the only relevance this currently has is that it hints at a pattern we don't know about yet. There are also other relevant mantissae that I'll bring up further down.

-

>specifically testing with big numbers so that patterns become visible

The more digits in a given c, the more accuracy there is with the mantissae between the ratios above. I think it's actually more dependent on how far away certain variables are, but if we ignore edge cases, this is generally true. Using two or three-digit numbers, you'll end up with something like 0.6666666 and 0.5 for the 2d/x and x/n-1 mantissae. If you use numbers that are reasonably big, you might get like 5 decimal places in common between the mantissae. Using RSA-sized numbers, you get maybe around 40 decimal places in common (as you would have seen in the pictures in the last paragraph). So this idea is quite obviously correct and relevant.

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5e5d0b No.12182

>new variables g and z

>>11704 (pb)

>>11814

I've found three separate ways that z could be calculated from this. Firstly, if we just take f = 2z + 2x, that means z = (f-2x)/2. Sometimes 2x is greater than f, so this can sometimes be negative. Another way to rearrange this algebra would be to rearrange a=g+2z+x to be z=(a-g-x)/2, then substituting g for e-d gives us z=(a-(e-d)-x)/2. d can sometimes be greater than e, so for this one I tried both e-d and d-e. All three of these different formulae for this z variable gave completely different numbers (e.g. for a=13 b=43, we get -1, -2 and 5 in the same order as I've presented, and for a=7 b=29, we get 3, -3 and 4 – also these values don't get more accurate the bigger the number as I've tested with RSA-sized numbers). Then he says that if you take 2z from (x+1)(x+1) that it makes it divisible by n-1, and that isn't true for any of the numbers I tested either, based on either of the three potential z calculations. He also gives the z value as 73.60 for RSA100. First of all, from each of the three algebraic arrangements I gave for a potential z calculation, none of them were 73.60 for RSA100 (they were still very big numbers, nowhere near two digits in length). Secondly, if any three of these algebraic arrangements of z was correct, it wouldn't make any sense for 2z not to be a whole number, because f, x, a, e and d are all whole numbers, and 2z is always these numbers arranged solely with addition or subtraction. The formulae for z make no sense at all. 73.60 is (roughly) the square root of the number of n-1 triangles in d(n-1). It would be perfectly reasonable to represent that as a variable, but if z is that number, it definitely isn't also calculated through any of these algebraic expressions. No idea what the fuck the point of g and z are at all.

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5e5d0b No.12183

The following bulletpoints were all related to each other so I'll explain them all at the same time:

>some new geometry based on "theta" versions of x and n

>kx(n-1) - k(n-1)x = f-1, which is meant to be based around the idea that k represents the ratio taken to a different number of significant digits each time

>rearranging the geometry of the (x+n)(x+n) square using the ratio (which for RSA100 would be 73n×73n+0.65595(n-1)x)

>>11672 (pb)

>>11673 (pb)

>>11677 (pb)

>>11678 (pb)

>>11702 (pb)

>>11711 (pb)

>>11713 (pb)

>>11716 (pb)

>>11814

I put together this diagram https://i.imgur.com/zRHeZEh.png to show the first parts of the theta variable stuff. theta x is 2d%x, and theta n-1 is x%(n-1). There's also (x+2n)%n, which is theta n, but this is only mentioned once and not used in any equations. They're two new variables that are supposed to have geometric relevance to the mantissa. After this is where he starts being incorrect. The next diagrams he talks about that he couldn't post involve creating rectangles out of x(theta n-1) and (n-1)(theta x). The difference is supposed to be equal to f-1. It isn't ever equal to f-1. This next picture https://i.imgur.com/TppIYb9.png shows what the difference between these rectangles is for a few of the factored RSA numbers and how far away that difference is from f-1. The distance between the difference between these rectangles and f-1 isn't consistent, it's all over the place, so not only is the difference definitely not f-1, we also can't predict how far away it'll be, which means that we can't calculate what this number will be. There could potentially be a relationship between the difference between these rectangles and knowns including or not including f-1, but if there is I haven't found it. Given this isn't correct, I didn't see any point in making any of the other diagrams he talked about, since they wouldn't be accurate or useful in any way unless all of the math behind them was true.

He then goes on to introduce double-theta n-1, which is equal to (theta x)%(theta n-1), and he says that f-1 is divisible by double-theta n-1. This also isn't true. Neither is it true that the difference between the rectangles is divisible by double-theta n-1. I've tried a bunch of different algorithms and comparisons and I've found no link whatsoever between double-theta n-1 and any other knowns or geometric concepts. There could very well be some way to find it, but he definitely isn't correct about this. https://i.imgur.com/sYaL552.png

kx(n-1) - k(n-1)x = f-1 is a rearranged version of the theta stuff. kx is theta x and k(n-1) is theta n-1. Since I already showed that (theta x)(n-1) - (theta n-1)(x) isn't equal to f-1, I tried finding mantissae (which the k variable represents) that work in this context. I tried brute forcing with the exact same mantissae taken to a different number of decimal places in each situation, and I never got f-1, and I tried using different mantissae for either k and that also didn't work https://i.imgur.com/a2ocz6W.png . None of this is correct at all. If there is a way to find f-1 through all of this, I definitely haven't found it.

He also explained how you could use these concepts to rearrange the algebra to show that 73n×73n+0.65595(n-1)x is equal to (x+n)(x+n). Assuming 0.65595(n-1) is just theta n-1, for RSA100, that equation equals 1112982887678736922197027378383768075796689153512087679974011711456026673723251758501766265621749. (x+n)(x+n) for RSA100 is equal to 1123030866904336703079469523070416463095627144114722409357226718814587956951689069474054796070761. Again, reasonably close, but definitely not correct.

I will also say that some of these variables also produce mantissae that are quite close to or equal to the others. (theta x)/x is equal to the mantissa from 2d/x. This is just because theta x is equal to 2d%x, so it's the exact same equation without the 74x/x part. This is also true for (theta n-1)/(n-1) and x/(n-1). (theta x)/(theta n-1) is roughly equal to x/(n-1) (including the whole number part). It's not exactly equal though. The mantissae have about the same number of decimal places in common as all the other mantissae have with each other (so about 43 for RSA100). There's also (double theta n-1)/(theta n-1), which is another unique mantissa with 40-something decimal places in common with all the other mantissae (and it's obviously also equal to (theta x)/(theta n-1) because it's calculated from that equation).

I'll have more to say about these theta variables further down but as far as just this one specific post goes, that's what I got out of it.

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5e5d0b No.12184

>continued fractions

>>11716 (pb)

>>11763

The ratio and/or the mantissa are meant to be represented as a continued fraction using knowns. He provided no more information about it, so all of the following is just guessing.

Given there are multiple different mantissae that can't be used interchangeably, naturally we would only want one that can be used with knowns to calculate something unknown. The following are all of the mantissae I've explained already:

>2d/x ((theta x)/x)

>x/(n-1) ((theta n-1)/(n-1))

>x+2n/(n-1) ((theta n)/(n-1))

>(double theta n-1)/(theta n-1)

>(theta x)/(theta n-1)

The only known out of all of these variables is 2d. However, given he suggested during his explanation of the theta variables that double theta n-1 is supposed to be a factor of f-1 (despite that not being the case at all), let's just assume it can be found somehow and treat it as a known. That means we have two mantissae that involve knowns in some way: 2d/x's mantissae and (double theta n-1)/(theta n-1). If we were to somehow find any of the other mantissae, not only would we not be able to use them interchangeably since they aren't equal enough for that, but we would also need at least one of the other variables in order to do anything with them, since they're used to calculate one unknown from another unknown.

So out of these two mantissae that include knowns, let's consider what would happen if they were somehow represented as continued fractions. If anyone reading this isn't aware, a continued fraction is a fraction where one or both of the numerator or denominator is also a fraction, and their numerator and/or denominator is a fraction, and so on (for example, increasing the depth each time, 1/1, 1/(1+1), 1/(1+(1/1)), 1/(1+(1/(1+1))) etc). The example in the parentheses there is how the golden ratio is calculated. The silver ratio is 2+(1/(2+(1/(2 etc. There are more types than just having the same number repeat or where it's one number as the numerator and a number plus another continued fraction as the denominator, but those are more difficult to figure out. So let's say 2d/x or (theta x)/x could be represented as a continued fraction where we have one number as the numerator and another number added to a continued fraction as the denominator. That would mean that x can be represented as a continued fraction. If that was the case, 2d would be irrelevant, as would the ratio between the two and all of the theta variables. I think that scenario is pretty unlikely (although given I don't know the solution I can't say for sure that it isn't obviously). It could also involve double-theta n-1 somehow, but as I'll explain, I did a bunch of tests including this and didn't find anything useful. So if we're looking for the mantissa from 2d/x, we're probably not representing it as a continued fraction where 2d is the numerator, just since that would bypass any usefulness that any other concepts have (i.e. we wouldn't need 2d if we represented x as a continued fraction because we could just take it away from d to get a).

Let's say instead we were looking for (double theta n-1)/(theta n-1). If we do assume that double theta n-1 can be calculated from knowns somehow, knowing it and the mantissa would allow us to calculate theta n-1, which would allow us to calculate theta x, which would allow us to calculate x (all of this assuming we also know the whole number part of the ratio, which, as I've explained, is small enough for RSA numbers that it can be iterated). If we were to calculate the mantissa using this exact fraction and the assumption that double theta n-1 can be found using knowns, we would need to represent theta n-1 as a continued fraction. theta n-1 can be found by dividing double theta n-1 by the same mantissa. Given that's the number we're trying to find, that'd be kinda like if double theta n-1 was 2 and theta n was 5 and we represented 5 as 2/(2/5), which is redundant, and which would cause an infinite loop. theta n-1 could be something added to another separate continued fraction, but what number could that possibly be? At that point we'd be guessing. I did write a few brute force algorithms with the intention of doing just that, but I'll get to that later. Needless to say, the most efficient way of figuring this out would be to deduce logically how this continued fraction could possibly be represented, and unfortunately I haven't had any success with that whatsoever with the information we've been given (or lack thereof).

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5e5d0b No.12185

>>12184

So that leaves the other two possibilities, which are that it's a continued fraction that isn't structured exactly the same way as the golden ratio, or it is but the numbers aren't what we would expect or at least wouldn't be obvious. It would be impossible to test for the former since it could be structured in a million different ways. The latter is a lot easier to test since you can just shove a bunch of numbers into a continued fraction and see what happens. I tried a few different things (none of which worked obviously). Firstly, given what he said about using the factors of f-1 to find double theta n-1, and the factors of f-1's f-1 and so on, I thought the recursive nature of that idea fit with the recursive nature of continued fraction, and assumed that each layer of the continued fraction could match with a number along this f-1 tree. I tried the start of each "layer" as both the numerator and the denominator (i.e. with the numbers representing each layer it could be like 1/(2+(2/(3+(3/(4 etc or it could be 1/(1+(2/(2+(3/(3+(4/ etc). Obviously we're not going to know the factors of our current c (in this f-1 tree we're treating each f-1 as a c), but if each layer represents a point along this tree, whatever is used in the top layer would either just be added to the rest of the continued fraction or get divided by it, so we probably wouldn't need to know any unknowns already. But Chris implied that we'd find the factors of each other point on the f-1 tree in order to find the one above all the other ones we've factored, so that implies that we would know the factors of everything other than c in this situation. So the variables I used in this brute force algorithm at each point along the f-1 tree included the unknowns of each one. I also used knowns from every point along the tree, and added and subtracted 1 from each one (I included the thetas and the whole part of the ratios). I didn't go very much more complicated than that since I was testing this on big enough numbers for it to matter and it took several hours per number. For this algorithm I made it so that it looked for mantissae within a range that could be used to calculate an unknown using rounding (i.e. using a test mantissa with the whole part of the ratio to divide 2d, if it was equal to x plus or minus 0.4999999999, it would round to the correct x, so you'd end up with a range of possible mantissae; say something like 0.5898352 to 0.5898467). I also had a separate brute force algorithm that just used knowns from the current c the whole way down (same 1+(1/(1+(1/ structure) and stopped when any changes taking place within the resulting decimal places were taking place further into the decimal places than was necessary to be accurate (i.e. if the correct mantissa was 0.495739452255, but you only needed 0.495739452 to accurately calculate an unknown with rounding or whatever, when this brute force algorithm got to the point where the changes taking place were small enough to only effect decimal places 10 in or further (I think I kept going a little bit just to make sure), it would stop). I tried both of these with both the 2d/x mantissa and (double theta n-1)/(theta n-1). They didn't work even for relatively small numbers, let alone big ones where the range is significantly smaller https://i.imgur.com/O84958N.png . I also tried just finding the closest one, and the resulting mantissa was never close enough to use (this pic actually only goes like two layers deep for RSA100 but it's an example https://i.imgur.com/5YNCPyf.png - even if one of these was a correct variable configuration, how on earth are we supposed to know what to use?)

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5e5d0b No.12186

I did notice that the range was far wider (i.e. 0.56 to 0.57 is a wider range than 0.5691824 to 0.5691837) for the (double theta n-1)/(theta n-1) mantissa than for the 2d/x mantissa, which could mean that it keeps getting wider the further you go into different theta levels (like triple theta or whatever). There wasn't any explicit calculation for anything further than double-theta n-1 given, so I had to make a few assumptions when I tried to calculate further theta levels. To start with, based on what he said about all the mantissa being the same (despite them not being "the same" enough to be used interchangeably, as I've shown), you would think maybe you could calculate a further theta down by multiplying one theta variable by the mantissa. Here's the result when you multiply each relevant variable by the mantissa from x/(n-1):

theta x (mant)(x) = 685693744940753403007303460101747876689214413782

off by -1024

dt n-1 (mant)(theta n-1) = 6190560760182704088730475126341919582635917182

off by -1024

theta n-1 (mant)(n-1) = 9437544224730148596091291457991749404258034675

off by 0

Obviously the last one is off by zero because theta n-1 is calculated from x/n-1, so it's the correct mantissa to use. For theta x you'd want to use the mantissa from 2d/x. Using the incorrect mantissa gave a result that was 1024 away from the correct value. Using the same mantissa to find double-theta n-1 gave a result that was also 1024 off. The amount that it's off by differs for each number (like it isn't always a power of 2 or anything like that - these numbers are actually rounded and it was really something like 1023.something). Naturally this indicates that we'd want to use the mantissa from (theta x)/(theta n-1) to calculate double-theta n-1. But let's say we want to find double theta x. We would need to multiply theta x by a mantissa. Which mantissa would we use? You would want to multiply it by a mantissa from a calculation where double theta x was the result of all theta x taken away from something. We calculated theta x by taking all x away from 2d. Is there a theta 2d we can take all theta x away from? I tried rearranging the algebra in a couple different ways and I ended up with a 2d value with decimal places every time. I don't know if it really makes sense for theta 2d to have decimal places, given every other variable is a whole number, so I don't know if that's how you'd do it. Regardless of any of this, I made a bunch of test versions of further theta levels and didn't really find anything useful. You would need at least two theta variables at any given level to find all of the other ones and go up through theta levels and eventually find x or n or whatever, but I didn't find anything that could be found from knowns, so I didn't find any way to do that. There could be something there but I wouldn't have a clue how to find it.

The other thing worth mentioning here is that any number can be represented as a continued fraction in the form of 1+(1/(1+(1/ etc. There are online tools that allow you to do it. If you go to https://planetcalc.com/8456/ or https://www.alpertron.com.ar/CONTFRAC.HTM and put 6190560760182704088730475126341919582635916158 as the numerator and 9437544224730148596091291457991749404258034675 as the denominaor you'll see the continued fraction version of (double theta n-1)/(theta n-1) for RSA100. If it was possible to find this continued fraction from knowns I wouldn't have any idea where to start, but even if I tried coding something with the intention of linking this continued fraction to any knowns related to RSA100, this thing has 105 layers to it, and I have no idea where 105 layers could be derived from a number where the f-1 tree is less than 10 deep before it hits 1.

-

The only other brief thing I'll mention

>>11672 (pb)

(f-1)/(n-1) -2 https://i.imgur.com/4GcY3YK.png

It's another ratio thing, but I have no idea what it could possibly be used for.

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5e5d0b No.12187

In summary:

>if we can find the ratio of 2d/x we can solve

>we're meant to be able to do that using a bunch of geometric concepts

>some of them work, some of them don't

>we're no closer to the solution and any avenues of exploration are vague enough that there isn't really any sense of direction, as usual

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85682d No.12188

>>12187

>No idea what the fuck the point of g and z are at all.

Kek.

Thanks AA for posting your work and summary. I studied your posts carefully.

>any avenues of exploration are vague enough that there isn't really any sense of direction, as usual

Eh, we're used to it by now. This is still my favorite puzzle to think on. When I have time I end up exploring one of the avenues and usually find something new.

Whoever VQC / Chris(s) / Team VQC is - they certainly studied this thing well in order to keep us running around with 10 potential avenues to a solution. Every new avenue is well thought out, and has some crazy shit like the matching ratios fir RSA sized numbers.

It helps keep my mind focused at least. Definitely the most fun Math problem I've even worked on.

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00465a No.12189

File: 774be94f3547d83⋯.jpg (9.68 KB,236x236,1:1,51_k3NnVNx.jpg)

File: d4fa9a6a3693f4c⋯.jpg (117.88 KB,600x600,1:1,99_0E7aLKk.jpg)

File: e8ff73ca546faab⋯.jpg (44.44 KB,657x527,657:527,42_scOYAsV.jpg)

File: 2787e6b85f45e1f⋯.jpg (13.81 KB,200x252,50:63,92_4NwszPf.jpg)

File: 1af16a070c2c8eb⋯.jpg (15.16 KB,480x360,4:3,77_SXULUFf.jpg)

Hello Anons. Having fun at the VQC Math Gym tonight.

Nice to work on Math(s) after a busy day.

Hope everyone is doing well.

Sending some Pepes from my vault to bring you viewing pleasure.

Here's a good crumb:

>>5832

"f mod 8 is divided among the 8 triangles. This restricts the multiples of 2d that can be used because they must always be in a number that supplies the gap in f"

// ??? gap between what? The next square? Gap implies a missing piece. What is this missing gap? This is an unsolved item that we can work on, anons.

Continuing:

"and satisfy another property. That property can be broken down. It is easier to break down the less factors there are as there are less solutions"

// What is this Mystery property? This is also an unsolved item.

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6c1f02 No.12190

File: 2d93aa53b37f6ac⋯.png (123.56 KB,612x744,51:62,Screen_Shot_202_16_01_.png)

Alright I have a plan of attack

Let’s go at this again brothers.

PMA, AA, Tops (and VQC if you're lurking)

Let’s use an easy example before moving to big c values.

c6107 (-f,1) gives us the (a prime) binary tag endings

So (a prime) = 31 = 011111 occurs in (-f,1) at (-f na transform) AND at c(N-1)

Let’s just run a search from a[1] to a[c(N-1)] for all the elements that have the matching binary ending of 011111 = 31

Where do they occur, and is there any pattern in the a[t] appearances?

I also propose the following theory about number families:

There are a fixed and repeating group of binary endings for each c value with a sqrt d and remainder e.

They are unique to e and -f columns for each c value

The reason WHY is that powers of 2 combined with remainder e limit our search to a discoverable group of binary endings for each c value.

Modular math indeed.

My intuition says there are 8 repeating binary endings.

Happy to be proven wrong.

Also, the binary endings can build on each other.

For example

01111 = 15

011111 = 31

0111111 = 63

01111111 = 191

So the binary families link up together for any given c value.

Binary modular mathematics, using the wave function in (e,1) and (-f,1)

(e,1) and (-f,1) contain the wave function with repeating binary endings.

They should cycle every 8 a[t] values

New idea to this board.

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6c1f02 No.12191

File: ff4e66957bb9b4f⋯.jpg (88.51 KB,736x751,736:751,IAmGrowingStronger.jpg)

File: 42acefd4942a069⋯.png (183.11 KB,271x354,271:354,Can_I_Haz_copy.png)

File: 153ecf702ed51af⋯.jpg (2.9 MB,3024x4032,3:4,Jesus_Laughing.jpg)

File: 754ea8b6f65948c⋯.jpg (63.24 KB,898x642,449:321,Julain_Proof.jpg)

>>12190

If this holds true for larger c values, then our solution (a prime) binary tag is always <8 a[t] values away.

AA can you please jump in? I’m happy to be proven wrong.

PMA can I please ask for you to check this work?

Tops would you please check this binary output for the pattern I’m describing?

Here’s another easy test.

Take RSA100

Find a[cN] or a[c(N-1)]

Take the column with odd a[t] values

Create the 8 elements before or after.

Look for a wave pattern of repeating binary endings.

Or just test to find (a prime) encoded in the binary of one of those 8 elements.

8Tu??

Modular math, with binary??

Triangles plus binary analysis

Best of two systems, combined.

Can I Haz repeating binary endings every 8 a[t] values?

Just like f mod 8

Or (f-1) mod 8

Which does us no good. But wait.

The mods are a key to point us towards remainders.

Binary also has remainders.

VQC can’t tell us.

He has to enlighten us until we can connect the concepts.

He’s giving us hints that allow us to connect multiple concepts.

Pretty brilliant.

Why the hint about mods for (f-1)/8 and (f-1) mod 8 ?

We can’t solve with a repeating pattern of mods for (f-1)

However, we can solve with a repeating pattern of “mods” which appear in binary.

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6c1f02 No.12192

>>12191

BTW this works for c145 too, just in case AA wants to know if I verified with more than one c value

;)

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6a2de9 No.12193

>>12152

>Personal Note for All Long Term VQC Anons:

>I have been praying and meditating for wisdom to solve this problem with you all as a team. I prayed a blessing to my favorite dude Jesus for each of you this evening, hopefully I remembered everyone. Like asking him to bless your lives and bring you happiness in all the areas of your lives.

>It would bring me much joy to solve this with you all, especially since we've all worked, invested, and sacrificed to be here as a team.

>I believe strongly that my new ideas have merit, and are worthy of new programs and code being written. Thanks in advance for any help you are willing and able to provide.

>>12166

>I honestly believe we are gonna solve this thing.

>The key is to keep going.

Your Faith has been solid Anon! Reading your post, was away for a couple weeks and couldn’t respond. Please know you made my day!

I do believe there is a solution, and THE END approach has shown merit. Each discovery and advance in insight has not shattered the core framework, but reinforced with new connections and relationships.

ty VA for your faith in this quest, and for the blessings, they are appreciated.

>>12169

>What is it about the binary construction of numbers that allows us to see more information?

This is a good question anon. Will incorporate view from binary lens.

>>12171

>In Faith, this problem is already solved, thanks to our determination.

>Let's work.

>Thanks to MM for this example, had to go find it.

>>>11862 (You)

>Gotten comfy with this one:

Have been, and when you posted brought a real smile. Good to see the variables, so familiar even though hadn't looked in a while.

I think this scale would be on the smaller end needed to discover patterns. 145, while all patterns/formulas will hold true, seems too small to serve in their discovery.

ty for the inspiration!

>>12172

>I propose a binary a[t] examination of (e,1) for c = 172931203

>I propose that repeating binary remainders will be found at equidistant a[t] values.

Have intentions of picking this up again at some point, and would good example for incorporating binary.

>>12173

>By pushing f to the next biggest square, we create a new remainder which we have never defined.

Always trying a new angle anon, nice.

>>12174

>>12175

>>12176

Interesting perspective, ty for sharing.

>>12178

>Here's a summary of all the work I've done related to the latest posts Chris made (from October 2020 >>11556 onwards).

Will read through anon, it was a pleasure to see your posts roll in this am, IRL hasn't allowed the time to read, but will review soon.

I believe may have shared, but view of those Theta posts and all post-trip-burn 'vqc' posts are suspect, could be legit or not, but if so should stand on heir own and be consistent with the core END presented. Explored those extensively some time back, and did not find the work fruitful at the point to which it was taken. A software issue caused most all of that work to be lost, but reflecting it didn't seem worth rebuilding and moved on. Those new paths, which were explorations of the original/early guidance and questions posed, has proven quite fruitful.

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6a2de9 No.12194

>>12193

Wrote the above on 11/10 and was pulled away before sending. Then read AA’s posts with interest.

>>12187

ty AA for all your exploration into the Theta avenue and sharing your work!

Also went into the continued fractions forms but not as deeply.

Am most grateful for all you’ve done on this journey.

>>12190

I read your posts in the early am and was filled with joy brother! Sending you love.

Ok VA and any other anons that are interested. Discovered an approach, that coupled to the grid, enables one or more shortcuts to the solution.

After losing the work on the Theta topic, spent a month or so diving into older crumbs, and further enumerating the grid in n1. With n1 working well, exactly mapped to the original VQC output “t” for “t”, shifted to search for relationships between triangles and squares, particularly with no remainder.

Spent quite a bit of time exploring the world of “tiling”, but often it was filling a square with smaller non-repeating squares and other such goals that didn’t map to our problem of an “equality between Triangular numbers and Squares”.

Found some other work that mapped exactly to what I was seeing “at the midpoint”:

>>12038

>Related, seems to be the case for the an & bn elements in n1. All the action appears to be at the midpoint.

So with this approach, an equality between Triangular and Square numbers was found, with different functions needing to be applied in steps for calculating the Triangular and Square numbers, grouped according to the “type” or “family” for the number in question. These exactly map to our types, the families, falling into this same classification for which functions to apply.

Where there is no remainder, and the function applied yields a perfect Triangular number, there is the solution, obtained with a few simple calculations.

In the process of scaling this up from the working numbers, such as VA cited:

>12190

>This is MM's favorite one to play with.

>TC2:

>c = 172931203

to the RSA100 sized numbers, quickly realized that there wasn’t enough calculation precision to “know” equality had been reached. Rounding and precision in steps within the code are critical, and scaling up it is obvious that a “decimal” approach to this won’t work, but rather a calculation with unit “remainders”. Can provide specific examples.

So, that’s where the work sits. There is a solution and full structure to the end, and the Grid is the key to moving from requiring all calculations to be run, to essentially a “prediction”, a collapse to the point where there is equality. Ran into the precision issue and need to adapt code to use remainders for the equality test. I believe there is likely going to be one more step needed and shown by use of the larger RSA numbers, have a graph of the space.

VA, combining this with a Binary view could be insightful.

If you and others would like to work as a team on this, will share in detail. The code is straightforward.

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ce7da0 No.12195

File: eced2d297f8b7e8⋯.png (1.02 MB,500x1690,50:169,ClickNotBang.png)

How are so many of the images still so broken?

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ccac3e No.12196

>>12193

>>12194

>Discovered an approach, that coupled to the grid, enables one or more shortcuts to the solution.

>Where there is no remainder, and the function applied yields a perfect Triangular number, there is the solution, obtained with a few simple calculations.

Hello MM, good to see ya.

Sure, I'm interested in seeing your process and code. I'll help check with the binary.

Glad to see you working on the triangular numbers / grid shortcut idea.

Fire away, sir.

I'm working on the binary exploration for c = 172931203

Nothing to report yet.

If any anons want to work / follow along, here's the details:

(a prime) = 11717

binary = 0010110111000101

c = 172931203

e = 8703

n = 88

d = 13150

x = 1433

a = 11717

b = 14759

f = 17598

N1 record (a=1)

c = 172931203

e = 8703

n = 86452452

d = 13150

x = 13149

a = 1

b = 172931203

f = 17598

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6a2de9 No.12197

>>12196

>Sure, I'm interested in seeing your process and code. I'll help check with the binary.

>Glad to see you working on the triangular numbers / grid shortcut idea.

>Fire away, sir.

Good, tonight is the only window for a while.

Ok, code running, coming back up to speed.

We can update with the binary piece together.

To come along, install Julia first.

When installed, launch Julia.

At the prompt in the REPL, hit the "]" which sends you to the package manager.

Install Pluto package with: "add Pluto"

Once package installs, hit escape to exit package manager and return to Julia prompt in the REPL.

Type "using Pluto" to load the package.

Type "Pluto.run()" to launch Pluto in a web browser.

Red1, report back when Pluto bound.

Working with c = 172931203; a = 11717 and will incorporate binary.

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6a2de9 No.12198

First, we'll define a variable "k" for the midpoint calculation, and determine it's parity.

Given c is odd, subtracting one will provide an even integer than can be evenly divided.

k = (c-1) / 2

k = (172931203 - 1) / 2

k = 86465601

This is the first parity test, using k:

k_parity = ODD

Next we calculate the whole integer midpoint for k, designated k2, with a formula based on the parity of k.

For EVEN k:

k2 = k / 2

For ODD k:

k2 = (k + 1) / 2

k2 = (86465601 + 1) / 2

k2 = 43232801

The second parity, k2 is ODD.

So in the tree, we have the ODD ODD case so far.

Next we consider (x + n) and (d + n).

These are defined as "xpn" and "dpn".

We don't know x or n yet, but we can determine their parity based on c and e (this incorporates crumbs from some time ago, at least using c but think e as well).

Here is that piece of code:

if c%4 == 1

xpn_parity = 2

xpn_parity_string = "EVEN"

elseif c%4 == 3

xpn_parity == 1

xpn_parity_string = "ODD"

elseif c%2 == 0

println("c = $c is EVEN, no calculations completed"); ## add step to divide by 2 until odd

break # continue

end

and our dpn parity using e:

d = floor(sqrt(c))

e = (c-d^2)

if e%4 2 || e%4 3

dpn_parity = "EVEN"

else

dpn_parity = "ODD"

end

We don't know the a and b vals yet, so just leave aval and bval as placeholders.

a : b : c : k : k2 : k_parity : k2_parity : xpn_parity : dpn_parity

aval : bval : 172931203 : 86465601 : 43232801 : ODD : ODD : ODD : EVEN

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6a2de9 No.12199

We can define a function "ktest" using any input "c" value to call"


function ktest(c)
# println("");
println("a : b : c : k : k2 : k_parity : k2_parity : xpn_parity : dpn_parity");
for cval in c

if c%4 == 0 || c%4 == 2 ## Could check c is a Natural number, Integral & postive
println("c is even, divide by 2"); break
elseif c%4 == 1
xpn_parity = "EVEN"
elseif c%4 == 3
xpn_parity = "ODD"
end
d = floor(sqrt(c))
e = (c-d^2)
if e%4 == 2 || e%4 == 3
dpn_parity = "EVEN"
else
dpn_parity = "ODD"
end
k = BigInt((c-1)/2)
if k%2 == 1 ## k is ODD
k2 = BigInt((k+1)/2)
if k2%2 == 1
println("aval : bval : $c : $k : $k2 : ODD : ODD : $xpn_parity : $dpn_parity");
k_parity = 1
else
println("aval : bval : $c : $k : $k2 : ODD : EVEN : $xpn_parity : $dpn_parity");
k_parity = 1
end
else ## k is EVEN
k2 = BigInt(k / 2)
if k2%2 == 1
println("aval : bval : $c : $k : $k2 : EVEN : ODD : $xpn_parity : $dpn_parity");
k_parity = 2
else
println("aval : bval : $c : $k : $k2 : EVEN : EVEN : $xpn_parity : $dpn_parity");
k_parity = 2
end
end

end
end

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03d40c No.12200

File: f768deaef22da97⋯.png (29.11 KB,1280x674,640:337,f768deaef22da979abcfb73c91….png)

File: 6704da129ae3476⋯.jpg (22.34 KB,288x450,16:25,Good_vs_Evil.jpg)

File: 5c213502998709f⋯.png (319.57 KB,1478x900,739:450,Bin_Talal.png)

File: 1373803d730a4f1⋯.png (201.25 KB,1111x896,1111:896,Rothschilds.png)

File: 2c7bdab59f3fa9b⋯.png (130.28 KB,1125x2436,375:812,Pain.png)

>>12197

>>12198

Thanks MM! I'll have time to get to this later this week.

In the meanwhile, sometimes I just grab my calculator and start playing with numbers. Found something fun tonight.

Thinking on triangular numbers and building the (x+n) square, crunched some numbers, and found a fun combo.

Trying to understand how 2d, 2d+1, 2d-1, f, or f-1 help us find the solution.

Here's my work for this evening. It's fun at least!

c6107

2d = 156

156 div 8 = 19 r 4

(f-1) = 133

133 div 8 = 16 r 7

19 + 16 = 35 = (n-1)

c145

2d div 8 = 24/8 = 3

(f-1) div 8 = 23/8 = 2 r 7

3 + 2 = 5 = n

This idea of making those numbers the bases is new.

Obviously it’s small c’s.

Still fun to come up with a new idea that works.

Lock and key.

c145 works for (n-1) if we make the following change:

(2d-1) div 8 = 23/8 = 2 r 7

(f-1) div 8 = 23/8 = 2 r 7

2 + 2 = 4 = (n-1)

PMA and AA, this is noteworthy, even for smaller c values. Pretty cool.

(2d-1) and (f-1) each div 8, and then added together give us (n-1)

For these 2 small c values it works lol.

Just rethinking the lock and key ideas.

New formula, lads:

(2d-1) div 8 + (f-1) div 8 = (n-1)

Hahahahahaha!

Somebody else cook up some fun new ideas to share.

I'm over here brainstorming all the time.

Post some fun new shit faggots. Geez.

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03d40c No.12201

File: 807475a87d7f50a⋯.jpeg (19.62 KB,474x474,1:1,download.jpeg)

>>12200

Also: Let's get this board back up to proper operating standards.

If you have no math to post, post some dank memes, so there's something fun and new to enjoy when we all check in.

Here's my current favorite.

We should bring back the Ponies too.

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03d40c No.12202

File: b4bf95403c0ffc1⋯.png (784.79 KB,1280x791,1280:791,PonyX.png)

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a336f4 No.12203

File: fc34491c98c6b20⋯.png (24.5 KB,508x518,254:259,c6107_f_anf_n_minus_1.png)

Here's another working example, for c = 287

Important change for this one was noticing that 2d and e made the correct (n-1) value this time. Perhaps because e is much larger than f for this specific c value? Not sure yet, just having fun.

(31,8,5) = {31:8:16:9:7:41} = 287; f=2; i=24; j=17

2d div 8 = 32/8 = 4

e div 8 = 31/8 = 3 r 7

4 + 3 = 7 = (n-1)

Bam!!

At a conceptual level, this idea makes a tremendous amount of sense. The ratio ideas AA has been working on are directly correlated.

WHY:

2d, f, and e (and all their variants) contain hidden ratios that are unique to the c value that they are derived from.

We have been searching for hidden information and/or a shortcut using these values.

Based on this example, I would add a node to the decision tree. Is f>e or is e>f? Take the bigger one to combine with 2d div 8.

Formulas:

if e > f , then 2d div 8 + e div 8 = (n-1) // c287

if f > e , then 2d div 8 + f div 8 = (n-1) // c6107 (and c145 can tag along with a slight modification to the formula.)

Anyhow, just enjoying some math(s) after a busy work day. Hope all Anons are well.

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a336f4 No.12204

YouTube embed. Click thumbnail to play.

All you Cabal evildoers should be shitting your pants right meow. We The Free People of the world are coming for your asses, and we're not giving up.

"Keep the change, you filthy animals"

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6a2de9 No.12205

>>12196

>I'm working on the binary exploration for c = 172931203

>Nothing to report yet.

>If any anons want to work / follow along, here's the details:

>(a prime) = 11717

>binary = 0010110111000101

What are you using to convert decimal to binary? Are you processing with BigInt? If so, please validate:

RSA_100_c = big"1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139"

Binary:

101100100011010101100110101111010001111100100000011010101100110111001001011011010001110010101111100100000101111110001110111111011110101011100001010100001110011010111101110010011011101101001111011111110111110110011001001000100111010001010101011101110000001011011101110001110001111010010100001110111101111100010111100101100011111011

RSA_2048_c = big"25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357"

Binary:

11000111100101110000110011101110110111001100001110110000011101010100010010010000001000000001101001111010101001100001001111001101011100111001000100010000100000011100011110010000111101011111000110101000011100100110111101000110001101010101000010111011010110110111111111110000110110111000111000011110101000010001100010011110110001110010111110010011110100010110010100000000000100011011110101110010000110101110111010101100110000101010110011011110001100101010000001000001000001111111000001100100100011000010100000010011101000110001111101011011000010110111011101100101111111111000101101000100101101001011011011111111110010010011001110000100101101100100011011101011000010011100011111001111010111101000010110010010110101000000111010100011001111001000000000000011100111110011010110110100111100010100101000000100101101010001111101111011111111010111100000011011111001001101000101100111001100010110010010111010100011101011100110010001110000101100010011010111001100001011101110111110001101011111010110010010101111011110111101010010010010101111011111101000110110101110111111010010011011000110011011111100000000101100010001111001101011111000100111010110010011010011011100111111010001000010011100001001010000111001110111100110011011001110101110010101010111110011111010100011011111010101000101011001111101100001001101011000000010011111100001010011001101001011010111001011000110000001001110101101110111001000000011001101000001010110000010011111000100001010110001101010100101011010110101100101100001110010110010010000100101010010010110111101101011010011001010111100011100101001010110010010011001000010100100100000111100100100110001100001110111000101101100111100001110110111100100100011111001010110101100010110101001001101100111010011011100111101100001110010000111110010010010100011111111000000111100011011001100010011000111110101010101100001010100010111001010000110011010111100110011000011000011111001010100000101010011001000001001001110011100110011101001011110101101101000000101111111011110111100000101100011100110011101010010001100011000110110000111001100011111100101

Any progress toward Pluto?

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fb1044 No.12206

>>12205

>Any progress toward Pluto?

Downloaded Julia.

Did my best to follow the commands!

MM, I think your idea won't work for solving for c. Sorry my friend.

This is kinda the same as Topol's scissors idea.

Also, I can't verify your RSA100 or RSA 2048.

I'm working old school with pencil, paper, and calc.

AA or PMA can possibly verify the RSA2048 c value.

Good to have you back, and let's work on the shortcut.

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6a2de9 No.12207

>>12206

>Did my best to follow the commands!

Where are you stuck?

>This is kinda the same as Topol's scissors idea.

Can you explain the relationship?

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6a2de9 No.12208

YouTube embed. Click thumbnail to play.

Peter Woit: Theories of Everything & Why String Theory is Not Even Wrong | Lex Fridman Podcast #246

Dec 3, 2021

Some good bits about bridging fields of mathematics, such as geometry and algebra. Hmmm.

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cde3ca No.12209

>>12207

>>12208

Hello MM, got Pluto up and running! IRL has me running around this week, and I will do my best to check in and work as time permits.

Also, I started the tutorials for Pluto, so hopefully I'll finally be able pull my weight with programming and checking the larger binary numbers.

Topol, you around? If you could repost your scissors idea that would be cool!

MM, it was similar in that it divided c into half, and then half again (if I am remembering correctly).

Are there more parts to you code? I understand what you've posted, and it follows VQC's decision tree idea, up to determining the parity of (x+n) and (d+n). Whatcha got for us next? Interested to see how you worked out the triangle and square numbers problem.

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6a2de9 No.12210

File: 64119091ef72de8⋯.png (135.14 KB,747x533,747:533,triangular_remainders.png)

File: 68b2118bec42d1e⋯.png (52.78 KB,1158x239,1158:239,example_test_cases.png)

>>12209

Excellent, I knew you'd pull through brother!

Don't believe we need the scissor approach for this. Maybe later?

The focus for this will be on comparing the triangular to square relationship, and the point, on a row t, where there is no remainder.

In the graph, each dot represents a row, a "t" value step. The y-axis is the decimal remainder to the next triangular number. Cannot use decimal for larger RSA scale values due to calculation precision. The VQC remainder approach is needed.

When it is zero, there is the solution, the transformed Triangular number calculated is an integral value. There is an approach to shortcut the search by skipping the interim t values.

We will generate a pattern such as in the first pic for our test primes, starting with Test Case 2 which is ODD ODD ODD. Can test systematically using an array.

A reason to use larger numbers, is that for smaller cases it's solved so quickly that the cyclic patterns never appear.

Will be away a few hours and try to check in. Currently very busy as well but we can move along. Maybe use your VA Coding thread for code questions and Julia shitposting, and we'll focus on the algorithm here.

The ktest function above is for manually checking a case, it should run for you in a workbook. You might note in the terminal window where you started Julia (the REPL), the results are shown to screen. Check the programming thread will detail there..

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3577d7 No.12212

>>12205

Binary is correct. Maybe consider adding a leading zero if the value is positive.

>>12210

Following along, MM.

Can you give an example for this from >>12194 ?

> equality between Triangular and Square numbers was found

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cd0829 No.12214

Merry Christmas math nerds. I love you guys and hope to see you buy some BTC over the Christmas season. Honestly, BTC needs brains like yours. Really. BTC seems to be in an epic battle with various groups that seek to undermine it. I used to think it was a psyop but feel now that it is likely an actual leak and stuff like ETH is the attempts by the powers that be to undermine it.

There are numerous projects out there in the BTC world that require talent like what is presented here daily. Simply looking for bitcoin(er) jobs should land you in the right places.

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3ea26f No.12215

>>12214

>posting this on a board about new mathematical concepts that would render BTC obsolete through instant mining

???????

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39e5f4 No.12216

>>12214

BTC seems to be in an epic battle with various groups that seek to undermine it.

Yeah, I had a small amount invested, but put it elsewhere for this exact reason. Seems like a lot of market churn, which could be manipulation by large groups or governments.

>>12215

Agreed. If solved, this would shortcut mining. More than that, it would undermine faith in cryptos.

Here's a new idea. Just having some fun with my calculator over here.

I took (1, c^2) from (0,n) and ran it through the factor tree.

Every time I reached an odd number, I subtracted one and kept dividing by two.

When another odd number is reached, I subtracted 1, and kept dividing by two.

so basically just doing div 2, and tossing the mod.

(1, 6107^2) = (1, 37295449)

N = (1+ 37295449) / 2 - 6107 = 18641618

18541618 div 2 = 9320809

9320809 div 2 = 4660404

4660404 div 2 = 2330202

2330202 div 2 = 1165101

1165101 div 2 = 582550

582550 div 2 = 291275

291275 div 2 = 145637

145637 div 2 = 72818

72818 div 2 = 36409

36409 div 2 = 18204

18204 div 2 = 9102

9102 div 2 = 4551

4551 div 2 = 2275

2275 div 2 = 1137

1137 div 2 = 568

568 div 2 = 284

284 div 2 = 142

142 div 2 = 71

71 div 2 = 35 (solution n-1 value)

Interesting thing about this is that it removes half of the answers each time.

So in theory, the time complexity should remain correct.

Also, we know the answer has to be <N for (1, c) so we could ignore any deeper analysis of numbers >N.

It works for (1, 145^2) as well.

Anyhow, just having fun combining concepts and looking for anything we've missed.

The thing that's interesting about the (0, c) concepts is that it's supposed to help us find n.

How the heck do we do that for a semiprime c when we don't know a or b?

So it made me think about (1, c^2) and that there must be some clue hiding inside that number.

Div 2 is a pretty fast way to eliminate values, which keeps us inside our time complexity restraint.

Thoughts and feedback appreciated, just enjoying some peace and quiet over here while thinking over the problem.

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daf2cb No.12217

>>12215

That would require inverting the hash function. Not the same thing as prime decomposition.

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bd6e17 No.12218

>>12217

The guy who wrote the original C# code that led to the creation of this board claims that it can be used for that. I'm not going to pretend I know how that's supposed to be the case, but if this thing's actually real, it seems pretty unlikely that he would lie about that. Either you didn't know that he said this because you're new here (which would mean that parts of your original comment didn't make any sense) or you've been here for a long time but somehow you've been completely oblivious to what he's said about Bitcoin over and over for like 4 years (which also doesn't seem like it makes any sense).

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fe39ad No.12219

File: 92fe110b9be7529⋯.png (76.44 KB,1144x172,286:43,Screen_Shot_2021_12_26_01.png)

File: 464108c73083402⋯.png (29.14 KB,381x184,381:184,Screen_Shot_2022_01_24_01.png)

Hello Anons.

Thinking and working over here.

One of the key ideas we have yet to understand in clear detail is this:

Integers (our semiprime c values) are grouped in families, based on their remainders (e values), which result from taking the floor sqrt of c, and finding the remainder e.

This allows us to collapse an infinite Grid into one (1) column.

The Grid is able to group all values of a * b = c into row 1, or (e,1).

Binary analysis has been hinted many times.

I am working on understanding two levels of patterns in the (e,1) a[t] values for any given semiprime c.

Think of it like a tree.

As the tree grows, the trunk level grows at a predictable rate.

As the tree grows, the limb level grows at a predictable rate.

As the tree grows, the leaf level grows at a predictable rate. (or often stays the same, growing off the trunk and limbs. Makes sense, leaves for any given tree are usually about the same size)

I am seeing these 3 separate groups as the makeup of any given integer.

(0,1) (1,1) and (2,1) show the pattern clearly.

I'm working in binary to find these parts, and they're showing up.

Whether or not this leads to a solution, it is an absolutely beautiful way to view integer growth. Similar to Pinecones, Seashells, and Fibonacci sequences of all types.

In (e,1) you can see this clearly in binary.

I have spent months looking for a new path.

I think this is it.

A new understanding of integers.

Based on (e) families.

With predictable growth in trunk, limb, and leaf.

If the crumb I'm attaching is true, this binary analysis of the trunk, limb, and leaf should help us in our quest.

What AA and I found a while back was that the leaf of (a prime) just sometimes shows up after the trunk and limb portion of a binary number, as the final part of the growth.

There is also some type of wave function where these leaf values repeat again and again, and the end of new and larger trunk and limb values

Clearly, VQC's hints still have many mysteries and fun surprises to open.

Binary allows us to get down to the construction level analysis of any given integer, along with all the integers in it's family, which are found in the same (e) column.

Especially in (e,1) and (-f,1) where all values of (an) (bn) a(n-1) and b(n-1) are found

Thoughts?

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4d9020 No.12220

File: 54f69dad60972ad⋯.png (110.72 KB,607x748,607:748,Screen_Shot_2022_01_30_01.png)

>>12219

I’m still breaking down a[t] values in row 1 into their binary component parts looking for clues. How is an a[t] integer in a given (e,1) constructed?

That’s what I’m working to figure out.

They grow while also repeating past portions that are unique to that e

Integers like 2975 in (23,1)

a[40]

Binary:

0101110011111

011111 = 31

Or like a[48] for (23,1)

a = 4351

Binary:

01000011111111

Still seeing 11111 at the end of that a value. 31

Check the a[t] values for a[t] 1-50 lads.

13 occurrences in 50 t values.

Everyone please leave your preconceived ideas aside and take a look. This matches many clues VQC gave us.

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c10f52 No.12221

t's not that we have a factor match.

It's that we have a collection of a[t] integer values.

Those integer values are related to their e column.

(xx+e)/2= na

It's that we have a recurring Fibonacci style sequence, where base layer trunk and limb grow, while leaf values continue to appear at regular intervals.

my theory and AA's is that these leaves continue to occur at EVERY level of (e,1) or (-f,1)

these Leaf values often contain the leftover primes for a given e column

What binary shows is that these Leaf values continue to repeat in (e,1) and (-f,1)

vis a vis 31 for c6107

go look at (-134,1) right now

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c10f52 No.12222

For programming purposes, i would use the following:

is a[t] (e,1) odd? If so, continue

generate 100 values starting at a[N]

if a[t] (e,1) is even, then move to (-f,1) and generate 100 a[t] values

we need to analyze the odd a[t] values

for example, (-134,1) shows 011111 in binary, while (23,1) does not

for c6107

The binary sequence for use in comparison is a list of binary values in (e,1) of (-f,1)

The binary tags we're looking for are smaller than d, because d-x=a

so in binary endings (tags) we are looking for a repeating value in (e,1) or (-f,1)

easy to spot visually

also, there are often gaps of 00000's in between the square constructs and the prime remainder.

This is Why VQC talked about Families of Numbers

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c10f52 No.12223

File: acfad216f00ab45⋯.png (256.68 KB,1120x861,160:123,Screen_Shot_2022_02_03_01.png)

Yeah working over here.

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c10f52 No.12224

File: 9f01ffd08d66325⋯.png (131.84 KB,687x684,229:228,Screen_Shot_2022_02_03_at_….png)

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c10f52 No.12225

File: f5b7f1be6fc85a9⋯.pdf (80.29 KB,fbianon_thread_1_and_2.pdf)

Here's what set me of on my journey,

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c10f52 No.12226

>>12225

FBI Anon. Clean Link.

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0a741a No.12227

File: 8b47032004b9640⋯.jpg (93.33 KB,680x680,1:1,IMG_6718.JPG)

File: 7c5b5e8f118c2e9⋯.jpg (128.82 KB,1080x1080,1:1,IMG_6714_2.JPG)

File: eb7b0b122cb9787⋯.jpg (154.82 KB,1500x1000,3:2,IMG_6719.JPG)

Hello Anons,

Because d-x=a we have to stick with the constraint of the binary tag being <d

However, just for fun because we're math nerds:

for pma's c6107 output, notice the additional information coded in the binary:

63 = 32 + 31

95 = 64 + 31

127 = 64 + 32 + 31

The end result of PMA's research the last few days was another 50% success rate. So, still no solution path. However, the families of numbers are real.

Back to the idea workshop!

HONK HONK all you Globalist losers.

Sad.

WE THE PEOPLE are coming for you.

WE THE NERDS are coming for you.

Get ready for the MOASS

Get ready for the Great Awakening

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0a741a No.12228

File: aa0e9545c7705b9⋯.png (250.05 KB,1400x955,280:191,Screen_Shot_2022_02_05_01.png)

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96b13f No.12229

File: b0c3ebb6a42cfbb⋯.jpg (172.93 KB,1024x844,256:211,IMG_6727.JPG)

File: db8ad67944e6d88⋯.mp4 (10.49 MB,480x272,30:17,8724933536583103115.MP4)

Hello Lads.

Lots of thoughts tonight.

Glad to have this forum to express my ideas freely.

It's weird that posting here has slowed so much.

I love this Forum, and the Quest that we have chosen to pursue.

It's appropriate that our Quest is challenging.

It's fine that we have failed 10,000 times

I am ALL IN.

I will continue to Search and Work.

I don't stop when it comes to this Quest.

The odds are against us.

The "Science" are against us.

The establishment is against us.

HONK HONK HONK HONK.

I will fucking be here working until this problem is solved.

No surrender, No retreat.

Going back now to study all crumbs and review all hints.

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9de301 No.12230

>>12229

It’s not too late to give non-VQC mathematics a try. I’ve been reading the works of Gödel.

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14040e No.12231

>>12230

Going off of what this anon posted, I've been looking at ZFC set theory - the fundamentals of all modern mathematics.

The solution to the problem at hand might require us to restructure the fundamentals of the mathematics we use to solve the problem.

The 3 main issues I see with ZFC are:

1) Infinite sets should be impossible as they require axiom of choice - it should be impossible to choose an object at random (or not) from an infinite collection of objects,

2) Empty sets should be impossible - any kind of object including a lack of is still an object in of it self,

3) Sets inside of sets should be impossible - they should be represented as a unique single object.

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ce7da0 No.12232

YouTube embed. Click thumbnail to play.

OH SHIT NIGGAZ WE FULL CIRCLIN'!!!

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ce7da0 No.12233

>>12232

Well… I guess trips are broken…

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ce7da0 No.12234

I wonder… do I have a new one?

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ce7da0 No.12235

>>12234

Neat. I have a new one now. MWUAHAHAHA!

Faggotry accomplish.

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1904d5 No.12236

File: 54c5a2dddf79926⋯.png (194.64 KB,500x280,25:14,Math_Hunter.png)

>>12230I

>t’s not too late to give non-VQC mathematics a try.

Let's solve the problem at hand, which is the reason this board exists.

>I’ve been reading the works of Gödel.

Wunderbar! How can Herr Godel help us solve the problem at hand?

Any new ideas to bring some fresh vigor to the board would be welcomed.

Please make sure your ideas:

1. Include a potential solution path that works in theory

2. With at least two working examples, even if they're small c values. I will be happy to check them out!

>>12231

>The solution to the problem at hand might require us to restructure the fundamentals of the mathematics we use to solve the problem.

Yes, agreed Anon. That has been part of our quest since the beginning.

"numbers belong to families"

"growth patterns can be found that will aid in solving"

"Integers belong to families"

Etc.

Would be nice if you had included some sauce for ZMF set theory. All good though, we Anons can find the basic sauce.

Here's a general introduction everyone.

https://en.wikipedia.org/wiki/Zermelo–Fraenkel_set_theory

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1904d5 No.12237

File: f3f3f7c4aee450a⋯.jpeg (236.05 KB,1024x1280,4:5,1271efaed1cec1e6.jpeg)

>>12232

>>12233

>>12234

>>12235

Hello Tops! Always nice to see ya.

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6a2de9 No.12238

Thanks VA, Tops, AA, PMA, love to you all.

Sorry to drop off, shtf w/ computer(s), network, then life stuff.

Mostly sorted, need to revive the NAS but have some local work can share.

Life is good! Limited time, will share work tonight.

Hopefully images working, as only have screenshots in some cases for explanation.

Thinking will start with enumeration of e and f for n1.

Using that for the Offset between e and f side.

Then the algorithm using grid to skip huge swaths of n-rows where there can be no Triangular-Square equivalence.

Going to need to brew some coffee and all out, back shortly.

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1904d5 No.12239

>>12238

MM, nice to see you!

You left us hanging brother.

Please continue where you left off, and explain your ideas, along with posting working theory and examples, even if they're small c values.

>>12194

>equality between Triangular and Square numbers was found

>>12238

>Then the algorithm using grid to skip huge swaths of n-rows where there can be no Triangular-Square equivalence

Ok, show us brother. You ghosted us. Now is your chance to step up.

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6a2de9 No.12240

>>12239

>Ok, show us brother. You ghosted us.

I will try brother. Please know it troubled me greatly. There were a few weeks stuck phone-faggin' didn't even pull up board, as to see you working, and be there mute, is hard.

Found a bag of coffee at 7-11. Took as a good sign - two primes.

Just went through 2 inch stack of notes. Would take way too long to process and share, will just back up and do best at an imperfect job, it's that or nothing, so here we go…

Will be using Julia with Pluto notebooks.

Let's use your Programming thread for details on that, and we should be able to share notebooks and examples as we go. Jump in there any time.

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6a2de9 No.12241

File: 49f1c372b340e70⋯.png (72.54 KB,567x721,81:103,enum_f_p1.png)

File: 8f8a545803ffc46⋯.png (78.85 KB,564x730,282:365,enum_f_p2.png)

File: dac9c2c80a308a7⋯.png (86.44 KB,573x753,191:251,enum_f_p3.png)

Seem to recall a good month spent on the Theta stuff toward the end of 2020.

Around Christmas, and with losing a notebook with a chunk of work, abandoned that and went with only pure VQC posts and back to the beginning, and enumeration.

First phase goal: enumeration of (e, 1) and (f,1), producing the "offset".

6/24/18 VQC >>6470

"It's a single key difference between cells in (-f, 1) and )e, 1). Note that a[t] at (-f, 1) is related to d[t] at (e,1) and is keyed by the value of d for a particular c.

The value of f is determined by d.

Since d contains a+x, this is the key.

Enumerating the patters will be the process that leads to the Eureka. Then you'll see it everywhere."

The e-side of the grid was fairly straightforward. The f-side trickier.

Essentially, went back to the "base value" method - just kept at it.

>>11777

>Do you have a formula / method to find the initial 'x' value for t=1 in the 'f' columns where n=1?

Had started with x_base

f x_base

0 2

1 3

2 2

3 3

4 4

To try and find patterns, printed the first t=1 records for f=1..128, so 128 rows with columns for d, x, a, b, c, i, and j.

Taped up the sheets and hunted for patterns. Wasn't finding them in x_base, but was seeing patterns in d_ and a_base.

There was discussion of this with AA, as muddled through it:

>>11780

>>11782

>>11783

By New Year's eve, was full bore on new method, finding patterns, and building out a model. Was using color-codes to highlight the interweaving patterns that belonged to respective "groups".

Noted that there were "sets" of patterns, they counted down, then got "bumped" with another group, and so on. These three images capture the patterns and coding.

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6a2de9 No.12242

File: 2b610eea208effb⋯.png (152.25 KB,1848x779,1848:779,enum_f_model_p1.png)

File: eaf3197705a4fd3⋯.png (167.06 KB,1802x828,901:414,enum_f_model_p2_EvenSetSta….png)

File: 1e5c48e28f57545⋯.png (178.5 KB,1812x775,1812:775,enum_f_model_p3_exendCalcs….png)

File: f46e4c54c12fdf1⋯.png (62.02 KB,1160x266,580:133,enum_f_model_p4_SetNumPatt….png)

File: 853c0f13ed98169⋯.png (22.67 KB,513x284,513:284,enum_f_model_p5_TigerAlgeb….png)

The approach steps are:

1) start with the VQC output from the orig C code (extended beyond orig 64 to catch patterns)

2) Model in Libreoffice Calc to match VQC output

3) Code in Julia to match Libre Calc model

So moving to the Calc model, started with the patterns and breaking them up.

The key parameters were: Even/Odd f (first major division), the "set" start f value, first Diff between these (diff1), the length of a set (2 * set length), and the set number.

(pic1) By putting them down, iteratively found relationships that worked, such as SetStart(f) working out to (1 - setNumber)*setLength.

(pic 2) Layered in the calculations in parallel to the manual decodes with these relationships. Pic here shows an example calc being SetNum for a given (Even) f equals (.5 + ((2*f + 1)/4)^.5)

Can see it is the Integral solutions for setNum where key transitions happen.

This is where each successive "element number" for a "set" starts.

(pic 3) The areas in "blue" are all produced by formulas, while the "gray" is the manual decode. Here is the EVEN side being finished up. Layered in the "add last to previous set value".

(pic 4) For each of these progressions down the columns, such as 4, 12, 24, 40, 60, … for the SetStart, would find in the OEIES.

Seeing things such as "two times the triangular numbers" and "four times the triangular numbers" was encouraging that this was on a good path.

ODD f has its own similar relationships.

The tiger-algebra.com site helped with taking these and finding forms that worked for the formulas.

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6a2de9 No.12243

File: eabd33c426af44e⋯.png (55.71 KB,588x293,588:293,enum_f_model_validate_p1_E….png)

File: 18ebaf1a7bd0db4⋯.png (61.75 KB,639x328,639:328,enum_f_model_validate_p2_O….png)

File: 97b5bbbc88e882e⋯.png (51.21 KB,872x472,109:59,enum_f_model_validate_p3_j….png)

File: 1118009e0ad684f⋯.png (122.94 KB,1822x544,911:272,enum_f_model_validate_p4_L….png)

File: 6ad010f9c34bdba⋯.png (134.36 KB,1718x556,859:278,enum_f_model_validate_p6_f….png)

Translated the parameters to code (setStart, setNumber, etc.) for Even and Odd f. (pics 1&2, may not be debugged in these).

Output from Julia imported to Libre Calc and pulled into cells for side-by-side validation.

Of note, f1 is unique from the rest.

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6a2de9 No.12244

File: f704963962acd34⋯.png (134.7 KB,704x945,704:945,enum_f_model_extend_t_p1.png)

File: 72f16620ec5bc18⋯.png (182.18 KB,1252x704,313:176,enum_f_model_extend_t_p2_m….png)

File: fce7e0a3bafc7d1⋯.png (179.63 KB,993x771,331:257,enum_f_model_extend_t_p3_a….png)

File: 72bd8ea66f5a569⋯.png (75.13 KB,1752x339,584:113,enum_f_model_extend_t_p4_e….png)

File: 62bf2b1ec843476⋯.png (92.6 KB,1134x485,1134:485,enum_f_model_extend_t_p5_b….png)

>>12243

>Of note, f1 is unique from the rest.

This needs to be handled throughout the process and adds to the steps in code.

With the Base_ values for all parameters established for t=1 in the model and in code for any e or f where n=1, this completed the first phase of the enumeration goal: establish base values, matching VQC grid output (pic 1).

The next phase toward the goal was to extend to t>1.

Expected to be able to work this out systematically, as could tackle manually and find an equation for the "growth" of a parameter as t increments.

For this, the quadratic equation plays the central role.

The approach is to find the growth equations using the first several t values, then extend to calculate for any t.

Focused on t = 1:5 (didn't need to go up to 5 to establish equation parameters.)

Modeled first with small t-values. When working, extended to larger t.

The Libre Calc model was straightforward, it was simply building off the relative setnum, setlength, .. using incremental patterns. (pics)

Extended the f rows to 10k or so to cover manual cases. Built out tables of the test cases, pushing toward the initial goal of finding the "offset".

This was the basis for posts such as >>11832

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6a2de9 No.12245

File: 5e5104fd435e163⋯.png (120.97 KB,1031x866,1031:866,model_growth_diffs_p1.png)

File: e461c0bcdb27a91⋯.png (59.08 KB,626x438,313:219,model_growth_diffs_p2.png)

File: 9da9a49345a4117⋯.png (65.89 KB,1164x327,388:109,model_growth_diffs_p3_look….png)

File: 72b63b0a9605817⋯.png (125.79 KB,1086x591,362:197,model_growth_diffs_p4_quad….png)

File: cf58581cbcdbe46⋯.png (197.64 KB,1488x694,744:347,model_growth_diffs_p5_n0_p….png)

To establish the Quadratic Equations for growth in the "a" and "d", we look to the DIFFs.

The first pic outlines the method well.

"Model Number n" is our incremental t-value.

"Number of Cubes N" is the growing parameter (a, b, c, d, x) with each t step.

First, Second, Third differences. At what level Diffs are zero determines the form (order?) of the equation.

3rd pic - if they don't settle, it indicates there are confounded patterns. By separating by parity, mod and so on, the "families" or "branches" can be separated and parameterized equations established.

These quadratics are the parabolas that emerge. Often saw these patterns in the models across cells with integral values (pic 5).

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6a2de9 No.12246

File: 0a0da6bde62003b⋯.png (119.29 KB,1851x453,617:151,diffs_powers_p1.png)

File: 65ecd6f87af9be5⋯.png (245.81 KB,1846x747,1846:747,diffs_powers_p2.png)

File: d0e15787d8cad6e⋯.png (173.95 KB,1067x615,1067:615,diffs_powers_p3.png)

File: f62c46d6d91df82⋯.png (92.9 KB,1065x617,1065:617,diffs_powers_p4.png)

Diffs are interesting. Was just playing with the maths, and made a table with the "powers of integers" and their successive diffs until linear.

Some patterns are highlighted. Take any pattern, across powers and so on, and do a search in the OEIS, and always interesting matches.

VA, note 111..1 binary pattern if one takes the first DIFF across the powers (1, 3, 7, 15, 31, ..)

Triangular Arrays, Pascal's triangle - seems about right.

So, back to the GRID, and f and t's.

For each f, just started laying out the first 1/2 dozen d values, their growths, diffs, and establishing the parameters for the quadratics.

The OEIS was a regular reference, and formulas typically very close (offset by one t, or starting at 0 instead of 1, etc.) and helped to quickly hone in on the respective quadratic. Got handy at the time with recognizing them just looking at a series growth.

Because the "base" value increases, this is reflected in both the constants and the coefficents for the square and linear terms.

So:

@f = 1

d = 4, 8, 12, 24, 40 , 60

d_diff1 = 8, 12, 16, 20

d_diff2 = 4, 4, 4 (check, linear at diff2)

d_diff3 = 0, 0 (check, zero at diff3)

This is A046092, 4 times the Triangular numbers; 2n(n+1)

So quadratic is: 2n^2 + 2n + 0

@f=2; A056220; 2n^2+0n-1

@f=3; A142463; 2n^2+2n-1

@f=4; A05400; 2n^2+4n+0

^^ example there where the OEIS for the entered series gives 2n^2+0n-2, but this is starting with the (n-1) case, so it translates to the formula above.

Same with others. For f=5:

A090288, 2n^2+6n+2 (showing 2x^2+2x-2 in notes)

@f=24: 2n^2+12+6

@f=25: 2n^2+10n+0

@f=26: 2n^2+12n+5

@f=27: 2n^2+10n-1

@f=28: 2n^2+12n+4

@f=29: 2n^2+10n-2

@f=30: 2n^2+12n+3

@f=31: 2n^2+10n-3

^^ hopefully, the interleaving pattern based on f-parity, and the incrementing and decrementing patterns for the Constant jump out.

These patterns lead the way to generalize the quadratic for any t value in e or f, given the actual "Base Starting Value".

This is why establishing a proper Base was key, building out from there as the seed with its respective pattern.

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af3b88 No.12247

>>12246

>>12245

>>12244

>>12243

>>12242

MM, thanks brother! Holy shit, nice work. I'll sit down now to begin studying. Thanks for delivering.

>>12240

>>12241

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6a2de9 No.12248

>>12247

ty VA, getting rolling. Bag of Covfefe holding strong and plenty of puffage. No beers (stopped while ago). Will work tonight but am going to go quick as need to peel.

Code for ef in n=1 coming shortly, refactoring as it was huge with a few different factoring attempts still strewn in.

Then code for the offset.

Then Triangular part.

Then the factorization algorithm.

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af3b88 No.12249

File: 0bb09fd8bc3b3eb⋯.png (150.48 KB,1908x270,106:15,Screen_Shot_2021_06_24_at_….png)

File: 8e1e78648af1ef7⋯.png (84.92 KB,924x132,7:1,Screen_Shot_2019_02_14_02.png)

>>12241

Hello MM! Excellent job bringing creative new ideas/methods to the table.

Here are the key thoughts that popped out for me.

>Extended the f rows to 10k or so to cover manual cases. Built out tables of the test cases, pushing toward the initial goal of finding the "offset".

>note 111..1 binary pattern if one takes the first DIFF across the powers (1, 3, 7, 15, 31, ..) Triangular Arrays, Pascal's triangle - seems about right.

Interesting! Binary patterns again…

>These patterns lead the way to generalize the quadratic for any t value in e or f, given the actual "Base Starting Value".

Ok, I understand the concept. Interested to see how all the pieces of your method work together.

>Code for ef in n=1 coming shortly

>Then code for the offset.

>Then Triangular part.

>Then the factorization algorithm.

Sounds good, will be able to work for a bit tonight.

Side note:

>>12241

>Do you have a formula / method to find the initial 'x' value for t=1 in the 'f' columns where n=1?

In (-f,1) a[1] / t[1] is almost always a negative (a) value, especially as e grows larger.

Here's the method that I found:

Using c6107 for ease.

In (e,1), a[1] = (xx+e)/2n = a = (1*1+23)/2= 12

x[1] is always 1 in (e,1)

So then build the full element.

{e:n:d:x:a:b}

{23:1:13:1:12:16}

Then take d[t] - d (from our original c) = 13 - 78 = -65

This is the matching a[1] value in (-f,1)

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6a2de9 No.12250

File: 5aa3201d2d3c026⋯.png (154.44 KB,1347x731,1347:731,6107_offset_p1_Shifted.png)

File: bf809ad2b252d41⋯.png (171.36 KB,1810x639,1810:639,6107_offset_p2_TriangularV….png)

File: 485c578c8071d4a⋯.png (121.27 KB,894x628,447:314,6107_offset_p3_GapShowinf_….png)

File: 2c4420a8c4c9d79⋯.png (188.74 KB,1824x788,456:197,6107_offset_p4_Expanded_to….png)

File: 261a6c5690d8a35⋯.png (89.91 KB,1473x688,1473:688,quadratic_updated_for_expa….png)

>>12249

>>Do you have a formula / method to find the initial 'x' value for t=1 in the 'f' columns where n=1?

Yes, that was part of the enumeration. That is "x_base".

>Using c6107 for ease.

Have extensive analysis of 6107. Let me stay focused on getting the updated code running. Just working to break out some routines that repeat as functions to call.

The offset for c=6107 is 7.

If you'd like a chunk of output as example (e.g. for e=23, f=-134 for c=6107) can give readily).

You can put the e and f column vals into Libre Calc, shifted by t=7, and see straight across the rows some relationships once they line up.

Did this ad-naseum, much time, was fruitful for finding patterns and continuing, such as integrating Triangular part, but never found quick solutions that scaled to 100+ digit numbers.

Regarding expansion to negative t-vals. Started but incomplete. See last pic for modification of the quadratic equations.

This would be useful to ingest, it's core at this point, and going forward.

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6a2de9 No.12251

YouTube embed. Click thumbnail to play.

tunage..

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6a2de9 No.12252

File: 8e5292a4302312d⋯.png (58.14 KB,870x280,87:28,Hardy_beautiful_maths.png)

guidance..

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6a2de9 No.12253

File: 9cf55a28ff4a66c⋯.png (53.59 KB,686x428,343:214,6293_enumerate_into_negati….png)

patterns to be found in negative t..

and grab the tune offline for ad-free anons:

yt-dlp -f mp4 -o '/folder/%(title)s.%(id)s.%(ext)s' H2e12aGKSe8

next track: fCQw5SkqRsY

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af3b88 No.12254

File: 827ec2b672365e5⋯.jpeg (409.46 KB,680x845,136:169,download.jpeg)

>>12250

>Let me stay focused on getting the updated code running.

Do it MM. Love the Crumbs you're posting as well. Sending Blessings to you via the Most High Yeshua.

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af3b88 No.12255

File: 86f2aad2420e75c⋯.jpg (67.22 KB,1024x512,2:1,849d561ea2578b263aed896e9f….jpg)

>>12250

Dude, this work is awesome.

Whether you can solve or not, you just introduced a beautiful new idea to the board.

For (e,1) and (-f,1) a[t] values:

Where do Triangular integers occur?

Where do Square integers occur?

Where do they overlap?

What do the binary representations of those integers have to show in their ending tags?

You just opened up a whole new realm of exploration MM.

Good job.

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af3b88 No.12256

YouTube embed. Click thumbnail to play.

>>12252

"Here I am, and here I will remain"

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6a2de9 No.12257

>>12254

ty VA. Could dump the notebook, but it really wouldn't make sense even though it runs. Hoping falls together.

>>12255

>Where do they overlap?

Ha, at the solution! (well, transformations of them)

You asked about the base values. Just refactored that for f (dummy vals for e), and if you'd like to run it and validate against the grid that would be good.

Start up Pluto and create these cells:

In first cell some markdown text:

md"""## base values at t=1 for n=1"""

then the packages to use:

begin

using PlutoUI

using Formatting

using DelimitedFiles

end

then your inputs (here is where you could put -134 for 6107 case):

begin

ef = [-5:5;]#; 23]

t = [1]

# ^^ careful here, with : for range, start with most negative, and include ";" after

end

this cell run the function, hit little triangle to expand the results:

basevals = efn_basevals(ef)

the function for base values:


function efn_basevals(ef)#, n)
# base_elem = []
basevals=[]
set::BigInt=0
d_base::BigInt=0
a_base::BigInt=0
x_base::BigInt=0
println("");
println("");
println("CALC _base values in f for t=1, n=1")
#println("ef = $ef");
# Includes "n" as a variable as we know patterns in ef=0 for n>1, and n=0
for f in ef
if f < 0 && f % 2 == 0# && n==1 #Generalized for even and odd
f = BigInt(-(f))
println("f is now $f")
# EVEN f base vals
println("");
println("CALC _base values in f for t=1, n=1")
set = BigInt(floor(0.5 + (sqrt((2*(f)+1)/4))))
setstart = 2 * set*(set - 1)
setlength = 2 * set
setelement = (f - setstart)/2
d_prevadd = 4 * set - 1
a_prevadd = 4 * set - 3
d_curradd = (set)^2 - set + 1
a_curradd = (set-1)^2 - (set-1) + 1
d_base = d_prevadd + d_curradd - setelement
a_base = a_prevadd + a_curradd - setelement
x_base = d_base - a_base
base_elem = [f, set, d_base, a_base, x_base]
println("for ef = $f, set = $set")
basevals = push!(basevals, base_elem);
elseif f < 0
f = BigInt(-(f))
# ODD f base vals
set = BigInt(floor(1 + (sqrt(((f) - 1)/2))))
setstart = 2 * (set - 1)^2 + 1
setlength = 2 * set - 1
setelement = (f - setstart)/2
d_prevadd = 4 * set - 3 # (set - 1)^2
a_prevadd = 4 * set - 5 # (set - 2)^2
d_curradd = (set - 1)^2 # 4 * set - 3
a_curradd = (set - 2)^2 # 4 * set - 5
d_base = d_prevadd + d_curradd - setelement
a_base = a_prevadd + a_curradd - setelement
x_base = d_base - a_base
base_elem = [f, set, d_base, a_base, x_base]
println("set = $set")
basevals = push!(basevals, base_elem);
elseif f >= 0
base_elem = [f, 999,999,999,999]
println("for f = $f, set = $set")
# b_base = a_base + 2*x_base + 2*nfn1
basevals = push!(basevals, base_elem);
end
end
return basevals
end

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af3b88 No.12258

>>12257

Dude. Just show how it works for c145 and c 6107 lol

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af3b88 No.12259

Explain the underlying concept, and why it works.

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af3b88 No.12260

You have the Floor. Say a prayer for wisdom to explain the sacred numbers that have existed since the dawn of time. Then break it down for us Anons.

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af3b88 No.12261

>>12260

That's what we're here to do, Anons. Solving this is actually changing the way Math(s) are done. So let's hunt for patterns like we do.

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6a2de9 No.12262

>>12258

>Just show how it works for c145 and c 6107 lol

>>12261

>Solving this is actually changing the way Math(s) are done. So let's hunt for patterns like we do.

Much too small to see the patterns.

Like going up on the roof to feel what micro-gravity is like..

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af3b88 No.12263

File: 653ccfdcb8dd632⋯.gif (581.85 KB,496x211,496:211,giphy_1_.gif)

MM, It is customary on this board to provide a working solution for a small c value. Please show us a sample of your dope theory nigga.

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6a2de9 No.12264

>>12263

>>12209

>Hello MM, got Pluto up and running!

How are the base values looking?

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af3b88 No.12265

>>12264

MM, loving the ideas you're presenting.

Show a few small c working examples.

Just show how the triangular and square numbers find a match in (e,1) or (-f,1)

Otherwise this is a lot of excellent work that leads to a dead end.

We're used to that, so just suck it up if you don't have a working example and admit it.

Or, provide solution for RSA100 using triangulation. Nothing solution yet, but you've brought some great new ideas to the table.

Triangular and Square numbers in (e,1) and (-f,1) have yet to be explored.

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af3b88 No.12266

File: a16c6593016d149⋯.gif (694.42 KB,251x256,251:256,giphy.gif)

Working example, please.

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af3b88 No.12267

YouTube embed. Click thumbnail to play.

Lol. My fav.

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6a2de9 No.12268

>>12266

>Working example, please.

>>12077

>for c = 175440233

>e_tmax = 5104 and f_tmax = 8142

>The solutions tend to appear much earlier, in this case, at t = 718

>a = 11887 and b = 14759, Triangle = 6661 (the 39th triangular number encountered, the first at t=1 being 6622).

That Triangle #is the solution to that c. There is only one.

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2d447f No.12269

File: a2c4e0cfdb49070⋯.png (22.31 KB,980x100,49:5,Screen_Shot_2022_03_12_01.png)

Hello Lads.

Found something interesting.

This is work in progress, so thoughts, ideas, and corrections welcome.

Main Idea:

In column 0, find n for c^2.

(c+c)/2-d= n

same as c-d=n

if integers are grouped in families, what can this known tell us?

for c145, it's 145-12=133

which in binary is 010000101 with 101 = 5 = (a prime) at the end.

Interestingly, for c6107 it's slightly different, but related.

c-d is a bust for finding (a prime)

however, c-2d = 6107 - 156 = 5951

which in binary is 01011100111111 with 11111 = 31 = (a prime) at the end.

Could there be a recursive pattern using c-d or c-(2d) or c-(multiple * d) which would easily allow us a recursive search for our binary tag ending?

AA, this may be worth exploring, since we left off looking for a consistent known.

At an idea level, what i find exciting and curious is that the column 0 hints lead us to another simple known, c-d = n.

It begins to tie together 3 main concepts that we have yet to connect.

1. Our work in Coulmn 0 with c^2, and now finding that the shortcut is simply c-d = n. I believe this is the hint VQC was hoping for us to discover there, just my opinion tho.

2. The work that we have done in row 1. Specifically, that binary patterns occur which sometimes display (a prime) at the ending tag of a known, such as N forc145 and c6107.

3. Our work on the "families of numbers" ideas, and now seeing that trunk, limb, and leaf patterns exist in column 0 as well as row 1.

It gives us a new known to start at, and a recursive path to explore within the family of a given semi-prime c value.

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8a1f7a No.12270

>>12231

The tools of set theory are still worth it to understand, because using them you can fully investigate the consequences of including or not including infinite sets. The axiom of choice in its usual form simply states any collection of sets has a choice function - remove the axiom of infinity and it's no longer infinite AC since that set isn't declared to exist.

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ce7da0 No.12271

YouTube embed. Click thumbnail to play.

The Reciprocals of Primes

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88369f No.12272

Hello Lads.

I just cooked up a new way to account for mods in the (x+n)^2 area.

WIP, so check it and see if the idea makes sense and works.

Needed to post while the idea was fresh, will have to check more examples.

However, this is a new idea.

Main Point:

Key idea that’s new is to find the nearest triangular number to (f-1)/8 and it’s remainder.

Then combine that with the remainder from (f-1) mod 8.

“Modular math and the reminders give a clue to which values of (n-1) will fit with 2d”

Those two remainders could point the way to a LCM, which could solve.

Take (f-1) div 8

Find the closest triangular number < (f-1)/8

Get the mods from both

So:

(f-1) mod 8

Leaves a remainder

Get T (nearest triangular number) for (f-1)/8

This can also have a mod

For example, c6107

f = 134

(f-1)/8 = 16 r 5

T (16) = 15 r 1

So remainders are 1 and 5

(n-1) = 35

Which is a multiple shared by 1 and 5.

Just thinking out loud over here.

“First by roots, then by triangular numbers”

“f is the key to constructing the (x+n) square”

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c6b172 No.12273

File: a5570bf801891c6⋯.jpg (163.92 KB,1280x1280,1:1,IMG_6993.JPG)

Hello everyone!

Just working my VQC farm over here.

Remember “Chris root of (D)avid”?

Remember 8Tu?

I just finished running some interesting tests.

Should we be making triangle numbers?

My goal was to find the nearest triangular number of <d.

Convert d to a triangle number.

That’s the big idea of this post.

After all, we have to make triangles to fill the 8Tu.

If two right angle triangles make a square, and we’re trying to find the BASE of the nearest triangle number to d, then multiply by 2 to make a square, and then take the square root to get the base of T(d). Which is a triangle number.

There is also a remainder, in many cases.

Found some interesting results.

First, to find T(d) we multiply by 2.

So 2d

Sqrt (2d) = the base of <d nearest triangular number.

So for our usual examples, I got sqrt(24) = 4 r 8 and sqrt(156) = 12 r 12.

If we start at sqrt(d) we get smaller base values.

Sqrt (12) = 3 r 3

Sqrt(78) = 6 r 14

Wondering if sqrt d or 2d is the clue to finding a factor of n. It works for both of our usual examples.

Thoughts?

We could be looking for n or (n-1).

Anyhow, the factors are there.

(n-1) = 4

n = 36

Check out c145

4 r 8

Each T(4) = 10, with a remainder of 8

10 + 8 = 18

144 / 18 = 8

Which makes the (x+n) square

Also, 4 is (n-1)

Check out d=78 for our second usual example c6107.

T(12)= 78 with no remainder

Which we would find by sqrt (78 *2)= 12 r 12

n = 36

So it would be an iterative solution, based on using sqrt(2d) to find a factor of n.

The math is correct for our two small examples. Whether it holds for larger values remains to be seen.

The formula is to find the BASE of the nearest triangle number = or < d

The goal is to turn d into a triangular number.

Possibly with a reminder.

The base is the key value we’re after.

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bc1fed No.12274

File: 2c7760c8d378a37⋯.jpg (108.58 KB,800x694,400:347,IMG_7055.JPG)

File: e26c9cda3d9a292⋯.jpg (42.1 KB,397x395,397:395,IMG_7057.JPG)

File: 48944ba31950476⋯.jpg (184.6 KB,1200x1439,1200:1439,IMG_7056_2.JPG)

File: 8d05dbc51cae03a⋯.jpg (123.86 KB,1280x720,16:9,IMG_7053.JPG)

Interesting note:

“Chris root Of (D)avid”

Has two d’s.

Never noticed that before.

>>10651

>>10652

Anyone still want to see this finished? We've been here working a long time.

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bc1fed No.12275

Hey VQC,

Fuck you.

You've strung us along for years.

Fuck your predictions.

We're all still here bc the Math(s) are elegant.

You are a giant cunt.

Your followers have become fools to their family and friends.

I hate you and love you.

You never deliver.

You hint, and then leave.

You give new paths, while ignoring old paths.

We ask you questions.

You deflect.

New Path to solution.

New Path.

New Path 2

New Path 3

New Path 4

New Path 17

No answers to last idea.

No answers to Binary ideas.

I love my community here.

MM, apology made for being harsh. You have contributed much here brother. Love you.

Fuck this shit.

And let's solve it, lads.

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09556b No.12276

>>12275

You know he isn't going to read this even if he does come back any time soon right?

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d82a36 No.12277

File: 96c6bb5b75be2e5⋯.jpeg (111.06 KB,266x400,133:200,302A2B98_3C8A_42A9_A292_E….jpeg)

>>12275

It’s not too late to try conventional mathematics. Nothing is taken without proof. You start with everything on the table.

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47a756 No.12278

File: efd1656e335e7a6⋯.png (395.08 KB,1778x600,889:300,Screen_Shot_2022_04_22_01.png)

>>12276

Hello AA, all good. I had to rant and take a verbal shit. Feeling much better now.

Who cares if he reads it, I think he's leaving us alone because we're actually really close to solving.

Like inches away. Check out what I found for RSA100 below.

>>10651

>I tried adding the q calculation in but the thing about this is it seems to only ever work with the LOWEST FACTOR, and most of the time the factors of q are lower than any possible a, so it would just output one of the q numbers.

Looks to me like n is the smallest factor of (an) or a(n-1) that would appear in binary in (e,1) or (-f,1) for RSA100.

Perhaps at lower values a < n , however at some point (and maybe for all larger c values) n < a.

Can you please re-run your programs looking for n or (n-1) for RSA100?

Let me know if you find anything.

Hope IRL is going ok, and thanks for all your work here.

RSA 100 [e,n,d,x,a,b]

RSA100 c=

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

e=

61218444075812733697456051513875809617598014768503

n=

14387588531011964456730684619177102985211280936

d=

39020571855401265512289573339484371018905006900194

x =

1045343918457591589480700584038743164339470261995

a=

37975227936943673922808872755445627854565536638199

b= c / a

40094690950920881030683735292761468389214899724061

verify ==>> check a * b = c

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

verified c = a* b

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47a756 No.12279

File: a7eb748fe69be16⋯.png (692.7 KB,518x735,74:105,Thread_Jesus.png)

File: 43b64d8000b2cff⋯.png (310.27 KB,333x500,333:500,SpaceJesusBelieveReceive.png)

God, thanks for Math, and friends to work on it with.

In Faith, we begin our work this day, trusting that you will give us wisdom to unveil the patterns you created before the beginning of time.

Let our work bring Truth and Justice to the world. Let this solution lift the veil of darkness that evildoers have used to hide their dirty, evil, and unjust actions.

Give us wisdom and understanding.

Fame and money are insignificant compared to the opportunity to help save our beautiful world.

We recognize our own personal shortcomings, and thank you for your forgiveness to each one of us personally.

Let your will prevail.

And let our work bear fruit.

May we be a plague of Frogs on the Evil System.

In the name of the Father, Son, and Holy Spirit, Amen.

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47a756 No.12280

File: 1e099070936bf4a⋯.jpg (59.86 KB,480x449,480:449,Frogs_MEGA.jpg)

File: de78abd090fbdbf⋯.png (260.7 KB,1123x643,1123:643,ORLYBreakingQews.png)

File: d523860485c48a3⋯.jpg (59.9 KB,452x506,226:253,Red_Eye_Division.jpg)

File: 6b62a9abe6b7ede⋯.jpg (2 MB,1920x1200,8:5,Ponies.jpg)

File: a951f25454d75e9⋯.jpg (1.14 MB,1920x1080,16:9,Rainbow_USA.jpg)

Oh yeah and some frogs and ponies for good measure.

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47a756 No.12281

>>12276

>>10651

>We're also meant to be doing something relevant to that whole n/n-1 offset thing, and the algorithm is meant to output n and n-1

If n < a for large semi-prime c values, it is logical that the binary leaf value we'd be searching for is n or (n-1).

I'll have time to run some tests later today or tomorrow, have some IRL commitments to honor.

Would be a shame if anyone beat me to it.

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ce7da0 No.12282

Hey VA!

Check your friend requests. :P

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8fde80 No.12283

File: 0a2092b92203343⋯.png (1.69 MB,1547x849,1547:849,Screen_Shot_2022_04_29_01.png)

File: 2277576319dffec⋯.png (907.33 KB,741x821,741:821,Screen_Shot_2022_04_29_02.png)

File: fd64458922ab279⋯.png (1.36 MB,1089x816,363:272,Screen_Shot_2022_04_29_03.png)

File: bef38aaff0d5893⋯.png (1.28 MB,1038x816,173:136,Screen_Shot_2022_04_29_04.png)

Out of all the ideas we've worked on, this one still makes the most intuitive sense to me.

It's absolutely amazing that this exists.

We are missing one small detail to solve.

>>10990

>These are the exact steps of the algorithm idea VA and I have been working on:

<take c (O(1))

<calculate all of c's knowns (a bunch of O(1)s and one O(sqrt))

<assuming one exists, find the one specific element in (e,1) or (f,1) where we have a relevant a[t] value and where the lookup process is the same for every c but unique to every c (it's either going to be O(1) or O(log n) if it exists)

<count through a[t]'s bits from right to left until you find either the unknown represented in binary or you reach d's length, meaning c is prime (O(n) where n is the length of d in bits, which scales logarithmically)

Just want to add for clarity:

"count through a[t]'s bits from right to left until you find either the unknown which could be (a prime) OR n represented in binary or you reach d's length, meaning c is prime (O(n) where n is the length of d in bits, which scales logarithmically)"

>All that's missing is the one element and knowing which one unknown we'd be looking for.

Yup, agreed.

>Disregard every other post I or VA have made about any of this (aside from the ones where we show that this binary pattern does exist, which I can refer back to if you don't believe me) and focus on the four lines of greentext above. Are there any issues with this algorithm? This specific algorithm within this post I'm typing right now? No more of what you perceive as misconstruing what I'm doing. This is the fucking algorithm.

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ce7da0 No.12284

Did discord nuke the server???

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3f86c6 No.12285

>>12284

MA to Topol, auth code SIERRA WILCO EPSILON XRAY JULIET. They banned my mf'ing account, so they nuked either VQC or I think more likely that CurlyQ server and banned everyone inside.

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f20c62 No.12286

>>12284

>>12285

My account was strickly for the vqc server and it was also banned today.

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8ecc75 No.12287

>>12284

No reason why you can't just make another, right? That's half the point of us all using tripcodes here is that we can verify ourselves on other websites etc.

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ce7da0 No.12288

>>12287

>>12285

>>12286

Papa Elon's got everyone spooked, so the censorship is going into overdrive, it seems.

I don't know if Curly's server got nuked, but I'm hearing that a bunch of others did, as well.

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ce7da0 No.12289

Anyway… where's the bunker off to next?

Discord but we pretend it's about MLP?

Guilded? IRC? Twitter? … where/what else?

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ce7da0 No.12290

>>12289

We could arrange things on Guilded for now, if nothing else.

I have a server to use as an airgap for "it's me, nigga!"s.

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f20c62 No.12291

>>12290

agreed.

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b091ba No.12292

>>12290

>>12291

My account was only for VQC, and I'm banned too! Finally have some time to work tonight, so let me know if we have a new spot.

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ce7da0 No.12293

Even though no one's paying attention to this for this to matter…

You know the drill.

Post half of something here with your identifier…

And the other half here:

https://www.guilded.gg/i/pL8WJz7p

Also, just saw PMA.

You good.

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fa3b4a No.12294

463cda20a9030bb226735dd6fab99a43

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fa3b4a No.12295

>>12293

Thanks, Tops.

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a1dcda No.12296

File: 6324174b1b9aa12⋯.png (219.6 KB,1831x651,1831:651,Screen_Shot_2022_06_06_01.png)

File: 3c28327a3a1057e⋯.png (132.58 KB,354x363,118:121,23_HyJAsOb.png)

Hello lads.

Working on my coding skillz tonight. No solution breakthroughs to report yet. However, I do have running code that starts with only c and generates very useful data.

It uses the old sqrt method that VQC posted, which pma helped me modify. The code uses two loops to generate 100 (e,1) a[t] values in decimal and binary, and 100 (-f,1) a[t] values in decimal and binary. It also has another method which converts known decimal values to binary, like for working backwards with a list of RSA100 knowns. I can change this code to generate any decimal or binary values needed in (e,1) and (-f,1). It can scale and generate all the above data for any sized number, from our classics up to RSA sized numbers. I can visually scan for binary tag patterns in a list of 100 or 1000 a[t] values, although it makes the eyes hurt when looking at RSA100 data.

I'm still here working and learning, and for those who have been here since the start, you know that I couldn't code shit to save my life. Now I can write working code to implement the ideas I've studied. Feels good man.

Let's keep working and solve this thing, as time and IRL allow. Hope you all are well.

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4459f8 No.12297

Found this RSA 12 era bread looking through my archives. Reposting for fun and to check out the code examples if they still are up.

>When the integers that are the difference of two squares are arranged into the grid and their corresponding properties are shown, a pattern emerges that shows calculation instead of searching is possible.

C#

BigInteger Square Root —— https://pastebin.com/rz1SdACZ

Generate Bitmap within original code —— https://pastebin.com/hMTtJF6E

How to run VQC code on Linux —— https://pastebin.com/6HnN7K5X

PMA's tree generator —— https://pastebin.com/ZH9fSWu2

Original VQC code —— https://pastebin.com/XFtcAcrz

Unity Script —— https://pastebin.com/QgAXLQj3

Unity Script 2 —— https://pastebin.com/Y38nVWgT

Java

Traverse the VQC cells in real-time —— https://anonfile.com/TeH6q3d8bd/VQCGUI_v2.7z

Tree Generator —— https://pastebin.com/VZnQQR2i

Tree Generator w/ x & x+n search —— https://pastebin.com/0jPr3RrE

VQCGenerator —— https://pastebin.com/Dgu9aP1h

VQC Triangle Number Methods —— https://pastebin.com/NCQ3HK2K

NodeJS

BigInteger Library and Sqrt —— https://pastebin.com/y8AXtFFr

Python

3D VQC —— https://pastebin.com/vdf8SpYt

3D VQC (v2) —— https://pastebin.com/wZM5Thzu

Calculate variables based on e and t —— https://pastebin.com/4s6McdbN

Useful methods from CollegeAnon —— https://pastebin.com/d8xZZnm0

Create the VQC —— https://pastebin.com/NZkjtnZL

Fractal cryptography —— https://pastebin.com/XuN4U7Dv

Generate any cell in (0,1) and (0,2) —— https://pastebin.com/gRTYpdMU

Generate cells for a (and more) —— https://pastebin.com/iAizgLFF

Generate genesis cell —— https://pastebin.com/GKzcCpMF

Generate positive AND negative genesis cells —— https://pastebin.com/9ixjRyxt

Get A and B from C and N example —— https://pastebin.com/s0SZ9BNF

VQC + t —— https://pastebin.com/Lgufk0db

RSA & PGP key wrapper —— https://pastebin.com/vNqnPRJR

Rust

Additional VQC code —— https://play.rust-lang.org/?gist=50def916ad48400bc5d638fbf119ae85&version=stable

Check if a number is prime —— https://huonw.github.io/primal/primal/fn.is_prime.html

Create Bitmap using the VQC Generator —— https://play.rust-lang.org/?gist=c2446efeec452fe14e1ddd0d237f4173&version=stable

Create Bitmap using the VQC Generator [V2] —— https://pastebin.com/zGSusyz5

Generate the VQC —— https://play.rust-lang.org/?gist=6b6beb372b6b931f1abd30642a35a80c&version=stable

Static Java/C# class with all RSA numbers —— https://pastebin.com/XYFpsDWE

Factorization methods (Java)

Binary search for i —— https://pastebin.com/TAt5bDsR

GCDFactor —— https://pastebin.com/70GJSMrv

Count down from t of 1c element —— https://pastebin.com/xxYa946V

Mirrors 1c until e=(-x+n^2) —— https://pastebin.com/WJBqPM4P

Calculate factors using -x jumps —— https://pastebin.com/gKX9GW9r

Previous Threads

RSA #0 —— https://archive.fo/XmD7P

RSA #1 —— https://archive.fo/RgVko

RSA #2 —— https://archive.fo/fyzAu

RSA #3 —— https://archive.fo/uEgOb

RSA #4 —— https://archive.fo/eihrQ

RSA #5 —— https://archive.fo/Lr9fP

RSA #6 —— https://archive.fo/ykKYN

RSA #7 —— https://archive.fo/v3aKD

RSA #8 —— https://archive.fo/geYFp

RSA #9 —— https://archive.fo/jog81

RSA #10 —— https://archive.fo/xYpoQ

RSA #11 —— https://archive.fo/ccZXU

RSA #12 —— https://archive.fo/EYjpl

Videos on cryptography —— https://pastebin.com/9u3hwywe

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ce7da0 No.12299

Reminder… we've move to el Guilded.

Join us if ya like. Leave a message here if the invite expired and you want in.

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6f17cf No.12300

Hello Anons! Reviewing crumbs and thinking over here.

>>10385

>This is all about information carrying. Integers carry all the information you need about them to tell you everything. We just do not recognise it because we are not trained to see it.

>When displaying the a[t] elements of [e,n] in binary, what do we see? What repeats? And what does not? This is the carrier information and the determinant, since the properties of [e,1] are a wave function of sorts.

>>10389

>The algorithm we will produce is based on information density. The factors of an integer are impossible to hide. They have a SIGNATURE. Signatures are IMPORTANT.

>It just has to be performed in the correct order at the CORRECT SCALE.

How large of a scale? This one has my brain working. Similar to our c' = qc exploration, the idea of making c much larger in (e,1) and (-f,1) makes sense if we're looking for a binary leaf. I'll have some time to explore later today.

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151e48 No.12301

File: 9a70b03a1c9133b⋯.png (163.87 KB,1834x647,1834:647,Screen_Shot_2022_07_06_01.png)

>>12300

Hello Anons.

Here's my work for tonight, following up on my last post.

Making c bigger in binary, and looking for matching ending tags with knowns.

Modified my code to show binary results for cN, cNm1, c squared.

No matches yet, but enjoying a quiet night of math(s).

Hope everyone is well.

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151e48 No.12302

>>12301

Just for fun, interesting to note that RSA100 (e) and (a) share a binary ending of 1110111 = 119

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ce7da0 No.12303

>>12302

Interdasting… What's important about 119, in general?

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151e48 No.12304

File: a595527ad417005⋯.png (1.82 MB,1280x853,1280:853,Guidestones_Pepe.png)

Hello Tops!

Not much to help solve honestly.

119 is just the decimal value of the matching binary tags for (e) and (a).

More like a wink wink to keep investigating a path of research.

All a[t] values in (e,1) share this formula:

(xx+e)/2 = na

So, the fact that (e) and (a) share a binary ending (albeit very small) makes me happy and I'm gonna keep on doing my pencil and calculator shit, with my upgraded basic programming skills.

At this time, I'm doing this for fun and because I believe in our mission. I'm the kinda man who needs projects to keep him out of trouble.

"What? No, not getting in trouble. Just working on math(s) with my nerd friends"

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5591d9 No.12305

Holy shit, this is still going on? Did y'all make any sweet cash in the last crypto run? Just wanted to say there we are likely to bottom soon. Probably in the low teens or high 4 digits. Y'all should definitely buy the dip. Hold for a few years… If anyone wants I will pop in and teach more of this stuff any time.

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52a349 No.12306

>>12305

>Holy shit, this is still going on?

Hello Anon!

Yes, we remaining VQC anons have transitioned from "save the world NOW!!"

to:

"our fun hobby that we work on in our free time bc we like our Math Frens."

>Did y'all make any sweet cash in the last crypto run? Just wanted to say there we are likely to bottom soon

Dude i put my play money in and lost it. Same with Truth Social. Fine with me, it was playtime funds.

>If anyone wants I will pop in and teach more of this stuff any time.

My nigga, drop your crypto advice whenever you want. Meanwhile read the previous breads and get caught up. Contribute some useful ideas!

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52a349 No.12307

Reads like CA / GA to me. What up Graduate Anon?

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52a349 No.12308

File: 5944dde9246a6b2⋯.png (277.99 KB,1190x317,1190:317,Screen_Shot_2022_07_14_01.png)

File: 72768d946bd1e45⋯.png (93.66 KB,771x729,257:243,Screen_Shot_2021_11_11_at_….png)

Had a thought tonight Anons.

You guys remember the theta x hints end of 2020?

>>11812

>>11813

>>11814

>>11815

>>11816

>>11817

>>11818

Found AA's excellent diagram in my files.

It’s from the (x+n) square minus n^2.

2d(n-1) + f -1 without the n^2.

So xx+2xn

or x(x+2n)

The big idea was that a tiny portion of x could give us a remainder (mantissa) that would allow us to iterate the solution in less than 100 calcs for RSA sized numbers.

Funny thing is that I pointed this equation out 4 years ago lol.

>>4285

VQC wouldn’t answer my questions about it at that time.

Bottom line is we couldn’t find the number to divide into 2d.

What if the binary solution is using e to find that theta x?

Correct or not, this is another original idea worthy of putting some work in.

If we can find the number that gives the correct mantissa, we can solve RSA numbers in <100 iterations.

For example, the binary tag for RSA100 that matches e and a is 119

No clue if this can help yet, just jotting down my thoughts as they come.

If we can find that tiny decimal mantissa, we can solve.

Perhaps “recursive” in that we divide the mantissa derived from binary e back into e itself?

Like e the remainder of c holds the clue we need?

The key to utilizing the mantissa was using the knowns.

Thoughts? Let's get some work going faggots. Get off your lazy asses and help me look into this shit.

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52a349 No.12309

I can also repost all knowns for RSA100, in decimal and binary, along with useful code, if anyone wants.

This is an original idea to our board. Thinking is a valuable asset, much more valuable than crypto pointers. GA, get your shit together and post a new idea.

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52a349 No.12310

Even Jan should get off his ass and contribute something useful. We know you're still lurking faggot.

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52a349 No.12311

File: cd89894b6401169⋯.jpg (120.45 KB,1145x698,1145:698,Dunr.jpg)

Also, MM should get off his ass and check this out. You put in some seriously good work on the mantissa ideas. Time to work, brother.

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52a349 No.12312

What if the binary tag from e or f can be used to find that elusive mantissa?

Many layers of hints and crumbs.

How do we solve from knowns?

Main question since our inception.

I wanted to jot down my ideas tonight in written form. I'll be working this week as IRL allows.

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52a349 No.12313

Ideas written.

Work to follow.

Good night VQC anons.

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bb35a2 No.12314

>>12305

We're no closer to the solution and Chris has been here maybe once in the last year but yes. The Discord server got nuked so as Topol said here >>12299 there's a new thing on a different website which is basically the same thing. It's just VA, Topol, PMA and I on there so far, which is a possible indicator of who's still around in general.

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52a349 No.12315

>>12314

AA, good to see you on the board.

Any thoughts about the ideas I posted?

Mantissa meets Binary?

We're looking for a very small number relative to d or e.

Any ideas?

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bb35a2 No.12316

>>12315

You're on your own right now man

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52a349 No.12317

I'm up having beers and cigars. So lets throw some ideas around.

You willing to discuss old crumbs?

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52a349 No.12318

>>12316

>You're on your own right now man

Have been most of my life, AA. Always the guy who can't submit. I love Death Star explosions and seeing the One Ring melting down.

I was made for this mission.

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52a349 No.12319

Lost a sexy Woman I truly loved in large part for Q and VQC.

Also lost my family unit.

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52a349 No.12320

Here I am still checking crumbs as IRL allows.

Got a meow new sexy lady.

Still wanting to blow up Death Stars.

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52a349 No.12321

File: 8ea713921b7bb0f⋯.png (283.03 KB,500x333,500:333,DJT_Antarctica.png)

>>12316

So what you got, you faggot?

>muh feelz

>muh nocanz work

>muh no canz help

>muh no wants to think

>muh fuck you VA

>muh depression

>muh sad life

>muh giving up

Fuck you AA. Love you man, but this is no way to live or fight for freedom.

Stop acting like a pussy and post some good ideas or crumbs.

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52a349 No.12322

>>12316

Well Luke was alone in the Death Star trench.

Gonna pop this thing, AA. Maybe you can fly in a bit later like Han Solo to give a hand, and spin Darth's cruiser out. All good.

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52a349 No.12323

File: cacb02682f36fe2⋯.png (88.55 KB,1280x720,16:9,Trust_The_Force.png)

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3a31ea No.12324

>>12306

Dang, Yeah I was talking to some friends about the Q days on 8ch. About how much fun it was and this place came up. I figured I would pop in and see what was happening and bam! Its still going on! Yeah… long ago I was known in these parts as the Hobo. Not so much any more. Anyway, sad to hear you lost your discord? Whats the story behind that?

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a394e5 No.12325

>>12324

It got shut down because apparently being in any way associated with Q shit is "inciting violence" because of Jan 6th. They probably would have been able to detect keywords or 8kun links or something.

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3a31ea No.12326

>>12325

Wow. Yeah, thats nuts man. There is an encrypted platform called Keybase that my fam and friends use for crypto trading stuff since it is secure. Has a great app and desktop platform that works well on linux. It even has XLM integrated into it so you can tip people/pay eachother. But yeah, not surprised. Yeah, Sad that the whole point of Q was to set us all up with a psyop to go "attack" on January 6th. Pretty funny that everyone was too lazy to actually do anything though and just some old boomers showed up and wandered around. Oh well. I actually made some money in the last crypto run so Im not homeless any more. Pretty good shit. I even got a job in a blockchain Co-op as a professional Discord shitposter and article writer.

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a394e5 No.12327

>>12326

Congrats on the job and house and everything, sounds cozy

>Sad that the whole point of Q was to set us all up with a psyop to go "attack" on January 6th.

I don't think that's necessarily true. If something wasn't specifically posted by Q, it's not part of "the whole point" of Q. Much like when that person posted the cryptic Q-like text about JFK Jr, despite giving no reason whatsoever for anyone to think it was real, but a ton of people (or more specifically dumb old people who found Q through Twitter in mid to late 2018) were convinced enough by it to go camp out in Vegas or whatever, despite Q explicitly saying that JFK Jr was dead and that the post was bullshit. It's perfectly understandable to either be skeptical of Q or to not like some of the things they've said (I certainly disagree ideologically with a bunch of stuff they've said myself), but there are a hell of a lot of things that are attributed to Q that Q never even vaguely alluded to, let alone outright said. Jan 6th is one of them.

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Post last edited at

da11c3 No.12328

I'm not smart enough to understand all that you guys are doing, but I come to this board every once in a while to check in. Hope you guys figure this out!

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5e905c No.12329

>>12328

We're not smart enough to understand what we're doing either tbh

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a041bf No.12330

File: 5fbaefd2188c5f4⋯.png (354.92 KB,907x394,907:394,Screen_Shot_2022_06_24_at_….png)

File: 1e099070936bf4a⋯.jpg (59.86 KB,480x449,480:449,frog_plague.jpg)

>>12324

>About how much fun it was

Hobo! What up you excellent faggot.

Very glad to see you here once more.

Good memories of old CBTS breads and finding this group of exceptional anons.

Searching for Truth with the crazy Captain VQC

"Find me a non photoshopped image of the North Pole"

We've been chased out of every place.

Glad to see ya back.

I learned how to code finally, thanks to AA and PMA

Look back through old crumbs

Find something to dig on.

Best thing in the last two years was the binary patterns AA helped me dig on.

Somehow binary reveals the key

Still so close. Every crumb has meaning.

Jump in again my man.

>>12328

Vj, thanks for checking in my man.

This is more of a test of determination than anything else.

What ideas do you have?

Who knows, you could be the anon to solve it.

>>12329

>We're not smart enough to understand what we're doing either tbh

"Smart" isn't the issue, AA.

Persistence is the main requirement for this Quest.

Continuing to search and look for Wisdom and Understanding.

That's why I'm calling you out on your shitty attitude.

Get yer ass back to work.

At least post some old crumbs.

Or some dead end paths you explored.

Stop it with the silence.

Post some ideas, faggot.

Let's figure this out.

Latest idea is binary as a clue to the mantissa.

When we move right to left in binary for each of the knowns, we could be finding a divisor integer that creates the needed mantissa.

Fucking A.

I can do basic programming now, so I'm working to improve my game here dude.

What good are you doing currently when you bitch all the time and post no new ideas?

or just don't show up?

Post a new idea AA.

Get yer ass off the sofa and put down the reefer and pills.

Post new work.

Or analysis of old crumbs.

That's always been our rule.

Stop being a useless faggot, AA.

You talk to the old anons who check in, but when I ask for help you're like "sorry VA you're on your own tonight"

FFS dude.

Do you have a grudge against me? If so, let's hash it out.

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b79701 No.12331

f should hold the key, per VQC.

"we use f as a guide to construct the (x+n) square"

binary f or (f-1) or (f-2)

*never did quite understand the (f-2)*

somehow f and all of the numbers that add together to construct it give a clue to solving the (x+n) square.

My guess is that the answer is in binary.

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212e9b No.12332

File: 6251a0b8c9c6b8f⋯.png (533.24 KB,1866x1680,311:280,c6107_atb_leaf.png)

Hello Anons.

Sitting down to work for a couple of hours.

I'll be working all the angles we've covered as general solution paths for RSA100. Anyone who's around is welcome to join. Post some dank memes if nothing else.

General Note To All Anons:

I am often wrong, and happy to admit it.

I'm all in on this Quest.

However, long time anons like AA and PMA aren't producing any new work or ideas.

How is this teamwork?

You all know i couldn't program anything, and have earned my place here through diligence and persistence.

My pencil and paper intuition has been right on several occasions. After serious skepticism and having to prove my ideas with the help of AA and other anons, I was proven right about the binary tags. No, they can't yet solve RSA sized numbers. Yes, they exist for many c values.

>>10600

>Don't take this as a personal attack but you of all people (since we've gone through this so many times) should know that two numbers are not enough. How many times have we gone through an idea and then tested it on maybe twenty numbers and it only works on one or two of them? I know for a fact it's happened several times with your ideas, since I've written code for those ideas (and that doesn't mean your ideas are bad, it just means that for whatever reason you aren't learning to test on more than one or two numbers, even though this situation keeps coming up).

VA gets condescending attack(s)

>>10628

>To sum up, the conclusion I've drawn is just that this is all further evidence that we need Chris to tell us the answer.

We have to work for this, my man.

Stop it with waiting. Let's work. Chris gave us everything we need.

>>10651

>I need to preface this by saying that we haven't solved it yet and that the highest a value I've found was 14082 (a was either + or - 1), but I am pretty sure you found the missing pattern. Read the entire post before celebrating. We don't have enough information to solve yet. It's still fucking brilliant but save your enthusiasm for when we have the factors of an unsolved RSA challenge number.

My idea was correct.

>>10708

>I don't know if you read the latest in this thread but to sum it up VA had the idea of seeing it unknowns appear in binary at the end of the binary of knowns (so like a known might be 101001110010 and an unknown might be the 10010 on the end - this matches most of what Chris talked about two and a half months ago), turns out it happens a ton >>10689 and I'm currently coding a thing that'll check every unknown against every known to see if we can bring it from a 99.68% accuracy rate to a 100% accuracy rate.

Billions and Billions of Accuracies, in fact people, we have the best accuracies ever.

>>10755

>Not in the standard factor chain method we're used to. The binary shows a different type of factor chain THAT FUCKING OVERLAYS with the decimal factor chain.

>Gorgeous.

>Number families.

Here's the big idea.

There are two factor chains in (e,1) and (-f,1)

>>10674

One is easily visible in decimal:

c6107 (an) is 31*36 = 1116

c6107 a(n-1) is 31*35 = 1085

you can navigate up or down in [t] values by either factor, as we already know. You can easily find the next [t] location where that factor will appear.

The other factor chain is encoded in binary, based on the remiander e, which determines our column.

This is because (xx+e)/2=na.

This pertains directly to the idea of "number families" that Chris dropped many crumbs about.

AA, i don't care if you work with me or on my ideas.

I just want you to get back to work, like you should after all the time you've invested here.

You've doubted my intuition the whole time, and then your own skill proved me correct on several significant ideas.

Just get back to work you faggot, and stop making it about my lack of 20 c values of 15 digits or longer.

Attached image proves that 31 repeats in binary for c6107.

Thanks PMA for you help.

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3bb0f9 No.12333

>>12332

>it doesn't matter if you've taken every clue Chris has ever given us as far as you possibly can and you've come to the conclusion that he didn't give us enough information to solve, just pull something completely nonsensical out of your asshole and spend the next 6 months straight coding yourself into a hole because I can't handle the idea that we have to sit here and wait for a guy who's waiting on Q endgame

How about I don't do that

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212e9b No.12334

>>12333

>spend the next 6 months straight coding yourself into a hole

No, don't do that AA.

I understand what you're saying my friend.

Step back from coding and think over all the major ideas and potential solution pathways.

Review the crumbs when you have time.

Refresh your mind and take a break if needed.

Post some work on old crumbs that interest you.

Show some cool stuff from your archives, which must be pretty extensive.

Make it fun, my man.

Stay with us please.

Post you best memes.

Just show up. I appreciate you, AA. Love your contributions here.

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212e9b No.12335

File: eee71c0911ea177⋯.png (55.17 KB,640x591,640:591,36_1wrnpJH.png)

>Just show up. I appreciate you, AA. Love your contributions here.

If not, I'll just keep talking trash to ya till you post some cool private archive shit.

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212e9b No.12336

>>12333

So what you got, AA?

Post some cool images or ideas from your archive.

Images would help Topol make some cool art.

Even screencaps of WIP could be cool.

Tops, you with me?

Participate again, AA.

Get back in the game nigga.

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2c60d7 No.12337

>>12333

Why not just take the conventional mathematics pill in the meantime? With a course (possibly self-taught) in Fourier Analysis, Abstract Algebra, and Number Theory you’d be equipped to understand sieve methods which is what the number field sieve drops out of.

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bd4386 No.12338

>>12337

No thanks

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ce7da0 No.12339

Jank test…

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70ad73 No.12340

Hello everyone!

Found something interesting.

Posting now bc I have IRL stuff to do today, so just want to get the idea down.

I'll be crunching numbers on RSA100 later today as time allows.

Just working on crumbs and theory at the moment.

Thought:

Interesting that after all our successes with the binary exploration, Chris moved to the group of hints about ratios and mantissa endings.

>>11600

>>11672

>>11718

>>11719

Seems unrelated at first glance.

However, perhaps we missed an easy hint he was giving us.

Just doing small calcs for now, but found an answer for our classic c6107.

The big idea is that perhaps the integer equivalent of the mantissa is the useful piece of info we're looking for in binary.

This would be 2d mod x.

Working backwards from solution knowns, we get the following:

2d / x =

156 / 47 = 3 r 15

or

156 mod 47 = 15

So then we move to our wave function in (-f,1) and (e,1) to look for 15.

Sure enough, there it is.

15 is encoded in binary in (-134,1) in the a[t] values ending in 01111 or just 1111 sometimes.

Enumerating e=only -134, n=only 1, for values of t between 1 and 20.

----------------

(-134,1,1) = {1111111101111010:01:10111101:0:10111101:10111111}

(-134,1,2) = {1111111101111010:01:11000001:010:10111111:11000101}

(-134,1,3) = {1111111101111010:01:11001001:0100:11000101:11001111}

(-134,1,4) = {1111111101111010:01:11010101:0110:11001111:11011101}

(-134,1,5) = {1111111101111010:01:11100101:01000:11011101:11101111}

(-134,1,6) = {1111111101111010:01:11111001:01010:11101111:0101}

(-134,1,7) = {1111111101111010:01:010001:01100:0101:011111}

(-134,1,8) = {1111111101111010:01:0101101:01110:011111:0111101}

(-134,1,9) = {1111111101111010:01:01001101:010000:0111101:01011111}

(-134,1,10) = {1111111101111010:01:01110001:010010:01011111:010000101}

Program ideas:

>Find repeating endings in (-f,1) and/or (e,1).

>Check the binary from right to left, for example 11 = 3, and then iterate the whole integer portion.

>If no solution, move to 111 = 7 and iterate. No solution

>etc. until we get to 01111 = 15

>we iterate the whole integer as 1, then 2, no answer. Then at 3 r 15 we get a ratio that solves for x.

So it combines binary encoding with simple iteration to attempt to find 2d / x.

(still WIP, and needs RSA100 work, which I'll get to later)

Anyhow, just wanted to get it down in writing before I got too busy today.

Hope everyone is enjoying their weekend!

I'll look into this further, maybe it will give us some traction, or a method we could use when the search for (a prime) in binary doesn't work for a given c value.

Perhaps we search for (a prime) and/or the integer equivalent of our mantissa in the same piece of code.

>>11673

>Now, if you knew the number like 74 for RSA100 and you could then calculate the fraction, you could simply search through a hundred numbers and we would be finished.

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70ad73 No.12341

Found another interesting idea, related.

You anons remember the hints about moving right in the grid?

d increases by 1.

I found solutions for c145 and c6107 by doing a simple shift that was described to us many times.

2(d+1)+1 is the equivalent of shifting right by 2n

for c6107:

2(78+1)+1 = 159

= 128 +16 + 15

There's the 15 (mantissa in integer form) we need to solve (3 r 15)

c145

2(12+1)+1 = 27

= 16 + 8 + 3

3 is the correct remainder (mantissa in decimal integer form) to solve for c145 ( 3 r 3

Again, i understand AA's point about proving with larger numbers.

My job here as I see it is thinking outside the Box.

I'll keep testing on RSA100.

When I find a successful pathway with RSA100, then I'll expand the test to other large RSA sized numbers.

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70ad73 No.12342

Nothing to report yet, Anons.

Checking many different variations of variables in binary and decimal.

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70ad73 No.12343

Here's a breakdown of binary knowns for RSA100.

c binary =

101100100011010101100110101111010001111100100000011010101100110111001001011011010001110010101111100100000101111110001110111111011110101011100001010100001110011010111101110010011011101101001111011111110111110110011001001000100111010001010101011101110000001011011101110001110001111010010100001110111101111100010111100101100011111011

e binary =

1010011110001100101001111110010011011100011110101110001010001101001100101010011110111110010111111000100111000101110100010001001111100101001001111111110100010101110111

n binary =

1010000101001010010110101010011001101100111101010010011100001110010000100011010100000110000101000001001000111001010001111111110110011110011111111000101000

d binary =

110101011001011101110111101010001011010110010110001011111101101000010000101011111001001111011110000011111101111011000010010000111011000000001110101000000001111100010

x binary =

1011011100011010110101111010110100001000100010000111010101000001011110110101101111111110000011101100010000111011111001001010100010110001101101001101111011101011

a binary =

110011111101111010100000111010110100110101010001111011000011000000000100110101001011001111101101100110011011110011100011000111100110101010000000111110010010011110111

b binary =

110110110111100010100000111111001100011101110101101100001100110111100000000110110000000100010000000010110000010100101111101110101111010100000011111001101111100011101

f binary =

10111000001010110011111100001111011001000110110100110101001100110111100000011111010101011111101000011000011000111100010010111111001010111001101010001100001001001110

nm1 Binary

1010000101001010010110101010011001101100111101010010011100001110010000100011010100000110000101000001001000111001010001111111110110011110011111111000100111

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70ad73 No.12344

Continued binary knowns for RSA100

N Binary =

10110010001101010110011010111101000111110010000001101010110011011100100101101101000111001010111110010000010111111000111011111101111010101110000101010000111001101011000001110000010000111101010011110100001001000011011000100100110100110100101001111101110001001111110011001001001100100111000000000000110111100010110110010100010011100

Nm1 Binary =

10110010001101010110011010111101000111110010000001101010110011011100100101101101000111001010111110010000010111111000111011111101111010101110000101010000111001101011000001110000010000111101010011110100001001000011011000100100110100110100101001111101110001001111110011001001001100100111000000000000110111100010110110010100010011011

cN Binary =

1111100000011100100111000000010101100101101001100111000011101110011010000010011101100010110100100011010001110001100010100100101111001101010100100100110101100110110111010010101111001101111110110011111101101100100100011100000100110011001001111110101000010101111110110100111100000011101010101001110111111000000010100111000011100111100100101100000100000110001000000010001000011001110001000001011101000000010011011010011000111111001000011100000111011100100011101110110101101010100100010101100100100010010011111010011111010000101000001010000001010111001001100100100011011001010110010010101100011100100000110111101011001101010011101101111100100111100111000011110100

cNm1 Binary =

1111100000011100100111000000010101100101101001100111000011101110011010000010011101100010110100100011010001110001100010100100101111001101010100100100110101100110110111010010101111001101111110110011111101101100100100011100000100110011001001111110101000010101111110110100111100000011101010101001110111111000000010100111000011100110111000001000101110011111011000110000001011111001010110010100100101110110111000001000100110001111100100010110001001001101100100010000001010001001010000000111001001100100100001011110110010000001001000010010001010111110000000111101010010000011111000100010100000111110101111000101110000111001000100110000000000010000000001011111111001

c squared Binary =

11111000000111001001110000000101011001011010011001110000111011100110100000100111011000101101001000110100011100011000101001001011110011010101001001001101011001101110111111000001110010011110010000100110100000011011000011011010111110101001110101010010110101110011001011011011111010011101011010001110011001011100101000110100001100010110001111111110001110101000101100110110100010111110100100011000000110101101110100011101011011111101001000100001111100100101101010101110011000111010101001101111000111010011100010000111110000101001101010000011001011011010010100010010000111110011101001000000110100000100010001101101110100011011010001010011111010000011000011000011001

(d+n) binary =

110101011010101110100000111101000000101001100011110011100111111011110010011101111101101001111110110100100110000100001001011011001010111111000010011100000001000001010

(d+n)^2 binary =

101100100101011100001100111001101000010010000001111011001001010110101101110111111010000111010100001111001100101100000010111111010010011000111010011110111000100010011110010000110111111100111111101010100110101100101110000001000110010110111101011111000000001011100000001101111011110001000111110101110010011110000111000010100001100100

(x+n) binary =

1011100110100000000000010001011110100010001111000100100111011101101101000110010011010010001001110001010010000100110010011100100010101000001011101101110100010011

(x+n)^2 binary =

10000110100110001010010110010101100001100000011100011111100100011100101000010100100100101011000110101101110011111111110011101101011001001010101010000111100000011110011100001111110000001010101110110110010100111000011111000101101000000001010000000000000010011100001001110110110011100110110100100001101111011100111101101001

aan(n-1) for N * (N-1) =

111110000001110010011100000001010110010110100110011100001110111001101000001001110110001011010010001101000111000110001010010010111100110101010010010011010110011011001010100101011101001000010010010110000101011101110010101001110110101110110010100000010101010011000011110000100001110101111110101011011000101001001010101011011001111001110011101110010011100001110010001011001100100000001001111001000010111100101011010010111011111000000001110000010101010111000001000101110101001011001001001010011101000000111110111011100011000110001010101010111011110101111000010011011001001111110111010011000101010101010000111011000011101010101000101001000111111011111011001110100

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70ad73 No.12345

Next step will be an 8Tu breakdown of the (x+n)^2 area in decimal and binary. If I have time, I'll finish today. If not, I also have time tomorrow.

Any eyes who are willing to look for ending matches would be welcome. Perhaps there's something really simple I'm missing here. Best I can do is the 1110111 for (e) and (a).

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70ad73 No.12346

Also here are the mods i've calculated for RSA100.

2d =

78041143710802531024579146678968742037810013800388

2d + 1 =

78041143710802531024579146678968742037810013800389

2(d+1)+1 =

78041143710802531024579146678968742037810013800391

x =

1045343918457591589480700584038743164339470261995

2d div x =

74

2d mod x=

685693744940753403007303460101747876689214412758

2d mod x (binary) =

111100000011011100100100010100011101110000110100001000110010110100000110100110110000111001111110011111001100000011110000010100010100101010111111001011111010110

2d +1 mod x =

685693744940753403007303460101747876689214412759

2d +1 mod x

111100000011011100100100010100011101110000110100001000110010110100000110100110110000111001111110011111001100000011110000010100010100101010111111001011111010111

decimal equivalent 2d / x =

74.6559503842070433551587624518364440398531417616096551627073644105292384035743137557688093468861808064

f div x =

16

f mod x =

97196939668331895431885820473041790780474839966

f mod x (binary) =

1000100000110011101100010010110111110010010111111111100011111110011000011010101111110101101010100001001111110000000010110011110011110010110101101001110011110

(f-1) div x =

16

(f-1) mox x =

97196939668331895431885820473041790780474839965

(f-1) mod x (binary)

1000100000110011101100010010110111110010010111111111100011111110011000011010101111110101101010100001001111110000000010110011110011110010110101101001110011101

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70ad73 No.12347

Missed a value.

2(d+1)+1 =

1101010110010111011101111010100010110101100101100010111111011010000100001010111110010011110111100000111111011110110000100100001110110000000011101010000000011111000111

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70ad73 No.12348

File: ce119d8b437b838⋯.jpg (241.48 KB,600x431,600:431,Pepe_Theater_DJT.jpg)

Key idea I'm working on:

The mantissa should appear in binary in (-f,1) and (e,1) if my idea is correct.

I'm currently using N and (N-1) as the starting point. However, maybe cN and c(N-1) would be a next step to check.

"at the proper scale"

What scale is that, anons?

As VQC taught us, thinking big like DJT is the key.

Key idea is not giving up.

Persistence and always moving forward to move the ball 2 yards per day.

How many of you have read "Art Of The Deal"?

I've read it several times.

Did you know that there are projects that took DJT almost 20 years to bring to completion?

The NYC train yards project took almost 20 years.

Now it's complete and gorgeous.

The Globalists didn't count on a fkn hard ass NYC businessman becoming the tip of the spear against them.

This guy never gives up.

And he always gets revenge against people who've done him wrong.

The Globalists also didn't plan for Q or VQC.

They are fucked because We The People will not surrender our freedoms, and we will not believe their lies anymore.

They are also fucked because WHEN we solve this their secrets go public.

So come and get us, you losers.

Our man DJT fought you and won bigly.

We will keep fighting until we win bigly too.

Still working on this crazy mission, and still loving it.

It was always a long shot, but it's only attainable for those who keep working and believing.

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70ad73 No.12349

YouTube embed. Click thumbnail to play.

Others have come to the brink of losing their civilization.

In actual history, and in fiction.

We are on the verge of losing ours.

Do we fight?

Do we give up here at VQC or keep working?

Here's my favorite.

>Sons of Gondor!

>Of Rohan!

>My brothers.

>I see in your eyes the same fear that would take the heart of me.

>A day may come when the courage of Men fails, when we forsake our friends and break all bonds of fellowship, but it is not this day.

>An hour of wolves and shattered shields when the Age of Men comes crashing down, but it is not this day!

>This day we fight!

>By all that you hold dear on this good earth, I bid you stand, Men of the West!

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70ad73 No.12350

No solution yet.

Working to solve.

Crunching numbers here.

Peace and Rest be upon you all.

In the name of Yeshua.

Goodnight.

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3204a4 No.12351

File: 72768d946bd1e45⋯.png (93.66 KB,771x729,257:243,Screen_Shot_2021_11_11_02.png)

Hello Anons.

Reviewing diagrams and crumbs.

AA's excellent diagram shows theta x and/or theta n broken into two parts.

Supposedly we're only missing one formula.

(2d mod x) / 2 hasn't been explored yet.

I'll spend some time later checking (2d mod x) / 2 and see if it pops up in binary anywhere in row 1.

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7a030f No.12352

File: 3525c4fa38eb601⋯.jpg (107.7 KB,600x870,20:29,Ivanka.jpg)

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7a030f No.12353

File: 3b3c115c7a1827e⋯.png (174.97 KB,1806x668,903:334,Screen_Shot_2022_08_06_02.png)

Hello Lads.

Tough to see any advantage working with RSA100 at the moment.

I'm plugging away on displaying all variables in decimal and binary.

Cool thing is my list is growing, so that means possibly that I'm closer to a hint.

Call me crazy.

I welcome the title.

More Binary to follow.

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ce7da0 No.12354

And theeeeeeen?

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81c3d8 No.12355

File: d18d84ae80c5627⋯.png (481.88 KB,1830x1684,915:842,c2033_atb_leaf_copy.png)

Now that DJT is blowing up his feed with Q videos, it seems a perfect time for VQC to pop in and finally grade our homework assignments, and make some haters seethe.

Yo Senpai, we did your binary exploration assignment. Can you please take a look and give some pointers on what we're missing?

I have a couple questions.

When using RSA sized numbers, n or (n-1) becomes smaller than the (a prime) value, so do we switch to finding n or (n-1) in the binary ending tags? Seems logical.

Also, is a[t] = Nc or a[t] = (N-1)c a large enough scale to see the correct binary tags for RSA sized numbers, or do we need to go even larger?

Also, on another topic >>6774, I found something interesting while re-checking this hint. For the two small examples I have checked so far, the t values for (N-1)c and (na transform) make a nice little division problem that has no remainder. Meaning there's a literal fucking ladder of a[t] values to explore in between the two points. GCD could easily find factors with c if this holds for RSA sized numbers. Is this the "move about to be made"?? I will explore further this week.

Thanks to PMA for the attached output.

c2033 = 19 * 107

19 appears in the binary in a recurring pattern or "wave"

51 also works, since 32 +19 = 51, so I marked those as solutions as well.

Thanks PMA for the attached output!

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33c779 No.12356

Test

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33c779 No.12357

I don't know if this TOTP thing is permanent but if anyone sees this and can't figure out how to post

>click "get code"

>copy the text that gets generated

>paste it into here https://8chananon.github.io/dl/auth8kun.htm

>copy the numbers

>paste them into the TOTP field

>etc

Edit: the above is now obsolete and you currently need an email address to post anything on 8kun, so using the board owner account to edit this is the only way to say anything on here without going through the effort of making a burner email address. According to this https://8kun.top/qresearch/res/17708856.html#17708963 it's temporary and there will be a new posting system in a few days. If anyone wants to post without using an email address (VA was apparently trying to), wait a few days.

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Post last edited at

048236 No.12358

>>12357

Thanks, AA.

works nicely.

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e69780 No.12359

Is this thing on?

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e69780 No.12360

Nice! The TOTP is gone, along with the 8kun captcha. Much more easy and enjoyable to post now. Thanks Jim.

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43335a No.12361

Test

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43335a No.12362

>>12361

Wait there isn't even captcha anymore? I wonder how they're dealing with bots and shit.

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ea7c62 No.12363

File: d9839e0435025ac⋯.png (287.81 KB,516x389,516:389,Screen_Shot_2023_01_02.png)

File: 827ec2b672365e5⋯.jpeg (409.46 KB,680x845,136:169,download_copy.jpeg)

File: 17d39b5b80063ed⋯.png (330.58 KB,644x364,23:13,Screen_Shot_2022_03_14_at_….png)

File: 2277576319dffec⋯.png (907.33 KB,741x821,741:821,Screen_Shot_2022_04_29_02.png)

File: 264e2204b0b9ce2⋯.jpeg (28.33 KB,474x474,1:1,download_1_.jpeg)

Happy New Year everybody! Keepin' the lights on here on the board.

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ea7c62 No.12364

File: 4537815c45b7c59⋯.png (69.38 KB,374x827,374:827,Screen_Shot_2023_01_02_02.png)

File: 6251a0b8c9c6b8f⋯.png (533.24 KB,1866x1680,311:280,c6107_atb_leaf.png)

Finally found something worth posting about!

I just found a completely new way to use the (e,1) and (-f,1) a[t] values to solve for (a prime).

Can I please get some eyes on this? This is not a drill, lads.

If the idea holds, it would be a new search path to solve for any sized c value.

Basic plan is to take the Sqrt of a[t] values in (e,1) or (-f,1) and find their remainders, just like we usually do with a c value.

Worksheet attached.

Using the (-f,1) column for c6107.

(-134,1,44) a[t] = 3631>> 60 * 60 + 31 >> 3600 + 31

(-134,1,58) a[t] = 6431>> 80 * 80 + 31 >> 6400 + 31

(-134,1,64) a[t] = 7871>> 88 * 88 + (64+32+31) >> 7744 + 127

(-134,1,78) a[t] = 11791>> 108 * 108 + (64+32+31) >> 11664 + 127

What caught my eye were the a[t] values 3631 = 3600 + 31 and 6431 = 6400 + 31.

Two perfect squares with (a prime) as their remainder.

And MORE layers of repeating patterns.

Three layers: the normal factor chain, the binary factor chain, and now a SQRT factor chain!

Makes sense to me, since Chris told us numbers are families.

The big revelation for me is the possibility of setting up the correct conditions for an (a prime) remainder to revel itself. Perhaps we are hunting in (e,1) or (-f,1) for perfect squares with (a prime) as their remainder, like 3600 + 31

It's an incredibly elegant, helpful, and intuitive way of understanding why certain primes occur in a given e column.

The primes for a given column don't fit into powers of 2 (binary) or into perfect squares.

They stand alone, and can be viewed easily under the correct conditions.

I think our helpful paradigm shift may be to help create the correct conditions to cause (a prime) to show up.

Thoughts?

Worth noting for my worksheet that 31 and 127 both repeat in the Sqrt chain and Binary Tag chain.

31 = 011111

127 = 01111111 (64+32+31)

I'm still a rookie at writing code, my stuff works like a high powered calculator at this point.

Any program anons willing to help investigate would be much appreciated.

Even if it's a dead end, at least it's something new to check out!

Let's leave no stone unturned.

Also attaching PMA's output for easy cross reference.

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ea7c62 No.12365

File: ad8a3cc36d58272⋯.png (44.72 KB,785x155,157:31,Screen_Shot_2023_01_02_at_….png)

This crumb from Grid Patterns seems to point in this general direction as well.

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ae2fcc No.12366

any news

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b0d8a3 No.12367

>>12366

If there was you would have seen it here

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eb98b6 No.12368

Hello Everyone. Got a math idea inspired by that p-adic video Tops posted. What if the the recurring wave pattern in (e,1) takes the following form?

(8*10^z)+ (a prime)

Meaning

80 * 80 + 31 = 6431

800 * 800 + 31 = 640031

8000 * 8000 + 31 = 64000031

Or something very similar to this.

Big idea is that there are two parts of the number, a building block that grows, and the (a prime) ending, which sometimes appears in binary, but is always present and can sometimes also be seen when the building block is a square number.

Key is focus on a building block that grows, especially with a root factor of 8 * 10^z or something similar. An exponential building block combined with a base factor lines up with the p-adic idea.

I have a very peaceful and settled intuition about this general idea. I’ve been mulling it over for weeks. There’s something here.

If we find the building block growth details that always cause (a prime ) to appear, then we win all the tendies.

In my opinion, this is why "(1,1) and (2,1) are the keys to understanding other e columns" according to Chris. They show the building blocks with minimal information added. Every other (e) column uses the same building blocks, but there are unique primes manifesting in each column due to the way the numbers are constructed.

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eb98b6 No.12369

YouTube embed. Click thumbnail to play.

Here's the video again, thanks Tops for finding this.

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ae2fcc No.12370

>>12369

Found this lying around, is it related? Sorry if off-topic: https://i.imgur.com/uWfx25m.jpg

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ae2fcc No.12371

Is this project still active?

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0014fb No.12372

>>12371

We don't know how to use the grid to factor any arbitrarily large integer in O(log n) time where n is the length of c in bits, and Chris hasn't been here to give us more information in quite a long time. It's still alive in the sense that there are at least four of us who still turn up here now and again in case he comes back.

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9d3e6e No.12373

File: dc1fb60adab1141⋯.png (316.56 KB,618x929,618:929,Screen_Shot_2023_03_18_01.png)

>>12370

Thanks anon, lots of relevant ideas packed into that article! I highlighted the part that popped out for me.

>>12371

Yes, we're waiting for inspiration to strike like a thunderbolt, or for Chris to drop some more questions for us to think on. No new ideas over here at the moment.

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ae2fcc No.12374

>>12373

That part is actually easy, I did it already. The hardest problem is finding the relations. You use a quadratic similar or the same as (d+x)^2 (mod c) where x is an indeterminate. The squares (on the LHS) loop around the numbers mod N so it's not easy to just calculate them.

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b98f73 No.12375

File: e7838626c6178dd⋯.png (206.13 KB,1316x617,1316:617,Screen_Shot_2023_05_23_04.png)

File: 3a5b08a3785b992⋯.png (234.25 KB,1329x544,1329:544,Screen_Shot_2023_05_23_05.png)

File: fc4d8f5edfc3966⋯.png (242.97 KB,1320x626,660:313,Screen_Shot_2023_05_23_06.png)

File: b5f0f3feaecaa92⋯.png (78.08 KB,1059x236,1059:236,Screen_Shot_2018_09_10_01.png)

Hello anons, everyone doing good? I'm still thinking on this problem daily, even if I'm not posting.

Rewrote/added some code to generate indexed (e,1)a[t] values, (-f ,1)a[t] values, and the matching aann(-1) values for any length c. Output is in decimal and binary side by side.

Chris mentioned many times that aan(n-1) was a key to solving, so exploring again. Crumb attached.

Looking for patterns in aan(n-1)

For example:

Trimming 0's till (a prime) pops out. (works for classic small c's) This is the same as dividing by 2 until odd.

Also, if you treat aan(n-1) like a c value, you can find d+1 to solve for (a prime). (works for classic small c's)

I'm testing on larger numbers now, code can handle any size c value. It uses PMA & Jan's dual roots method.

Here's my output for RSA100.

Anyone have a chunk of code that can analyze binary strings for matching/recurring patterns?

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b98f73 No.12376

For anyone who actually studies my output, t[0] is a[N] in (e,1) and a[N-1] in (-f,1). I wasn't sure where to start, so I picked an arbitrary point that's easy to find.

>>12343

Binary knowns for RSA100, if any anons just want to play the pattern matching game with me.

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b98f73 No.12377

Here's a sample of binary aan(n-1) values for t[0] - t[3]

It takes a while to scan for patterns visually. If anyone wants the code to play along I can post it.

Any help on code to analyze binary strings would be much appreciated.

aan(n-1) a[t0] = 579581517763744648626134927874455622728492880882392519677060123042060880609520030066979381514711705401441514255510645645400699806963566311424691867661682718912533720123082728541983777274530172368500

aan(n-1) a{t0] = 111110000001110010011100000001010110010110100110011100001110111001101000001001110110001011010010001101000111000110001010010010111100110101010010010011010110011011001010100101011101001000010010010110000101011101110010101001110110101110110010100000010101010011000011110000100001110101111110101011011000101001001010101011011001111001110011101110010011100001110010001011001100100000001001111001000010111100101011010010111011111000000001110000010101010111000001000101110101001011001001001010011101000000111110111011100011000110001010101010111011110101111000010011011001001111110111010011000101010101010000111011000011101010101000101001000111111011111011001110100.

aan(n-1) a[t1] = 579581517763744648626134927874455622728492880882511345514859015968570798076877403601013438125594683607979029182748999775638800263855599214107347625731970106804085019314504880436116655114034094756960

aan(n-1) a{t1] = 111110000001110010011100000001010110010110100110011100001110111001101000001001110110001011010010001101000111000110001010010010111100110101010010010011010110011100010100111011011100000110110101111101001010101111101111000011101000100110001000001001000101100110100001111101011011011000101110011011110100000101001001101110101100100010000001100000111010010100010010111110110001001001001001000111101011111100011101100110110011111100000100101111111110100011100111110001101011110001110001000111001100110110111100010010100010110010000110111000000100000111111000100001100001011101001010001010100101110101101101000010101110010110100011111101011011001110101010001100000.

aan(n-1) a[t2] = 579581517763744648626134927874455622728492880882630171352657908895080715544234777135047494736477680085776879180387680333297438312396788733607382921129432136363909906795104074517514776621922423877304

aan(n-1) a{t2] = 111110000001110010011100000001010110010110100110011100001110111001101000001001110110001011010010001101000111000110001010010010111100110101010010010011010110011101011111010001011011000101011001100100010000000001101011011101011010011101011101110001110101111010000000001010010100111011011110001100001111100001001000110010000000001101000100010011111011001101101110101101000110011010001011101001000011000101001010100110110011010110010000101100111110001111011100011110110100010110101110101100101001100111000101011111010000100000000101100011001001111011011010100101010101010100101110101010011100011000101011101110101110100110110111001001100110000110010111010111000.

aan(n-1) a[t3] = 579581517763744648626134927874455622728492880882748997190456801821590633011592150669081551347360694834835064248426687318376613952587134869924797755727056256651269127154779831081427950705635490938964

aan(n-1) a{t3] = 111110000001110010011100000001010110010110100110011100001110111001101000001001110110001011010010001101000111000110001010010010111100110101010010010011010110011110101001100111011010000011111101001011010101010011100111110111001100010100110011011010100110001101011110010111001110011110001101111100101010111101000111110101010100111010111100000111010110001110000101010110001100010011010001011101001000010110110010010010111010000110100101100111010100011010011111001101001110111010000001111011011011010100100000111011011011111000100111011100110110001110101100101011010101110001100000011001001011111100101001010000110001000111110010011000100110100100100000001010100.

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da7213 No.12378

>>11618

Been a while.

Hope you are all well.

Time enough.

Take RSA100 as example one of four.

e > f, d is even, e is odd.

Notice that x and n are not whole numbers.

x is x + e/2d and n is n - e/2d

In this example 2a/x = x/n

72.6559.. x 72.6559… times n = 2a

74.6559.. x 72.6559… times n = 2d

The x+n square is to c, what n is to 2d.

This is all about to go public.

VQC

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da7213 No.12379

>>12377

Thanks for your patience VA.

We'll be advancing this week.

x+n is a whole number.

x + e/2d + n- e/2d is its construction.

I'll go through what this means this week.

Thanks again, the effort you've put in and what is released this week should be exciting.

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da7213 No.12380

>>12379

Think of the square root of c as d + e/2d

Think of a as a + 000000

Think of x as x + e/2d

Think of n as n - e/2d

We multiply n - e/2d by something that makes x + e/2d then again by the same to get 2a+0 or just 2a.

For RSA100 this is 72.6559…

(Sqrt(n-e/2d) times 72.6559) squared is 2a, if we bump one of those 72.6559 to 74.6559… we have 2d.

If we consider d + e/2d a square and n-e/2d a square (not integer) then n-e/2d is to 2d what (x+n) squared is to c.

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da7213 No.12381

>>12380

The remainder of dividing 2d by x+e/2d, then divided by x+e/2d is exactly identical to dividing the remainder of dividing x+e/2d by n-e/2d and then by n-e/2d.

For this class of c, there are four, this is the way we will solve factoring, since we now have sufficient variables once we establish these fractions, they cancel by the end, yet if we lose sight of them, we no longer have the information needed.

To understand. Multiply c by 100, 10,000, 1,000,000, etc. If you find x and n for 10a and 10b, 100a and 100b, etc, you will see that x and n are the same as before with growing fractions to boot. Those are always there, they add to 1, so we lose the info in normal maths.

There's the solution, or the start of it.

Thank you for your patience.

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094c92 No.12382

>>12378

Could you please read and respond to my analysis of your last posts, starting with >>12178 this one and ending with >>12187 this one? Every time you come back after going AWOL you ignore any analysis of your previous posts and it's very unproductive. But then again if you were interested in being productive you'd just post the fucking solution already

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da7213 No.12383

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da7213 No.12384

>>12382

You know this inside out.

You've had the same training. That training will benefit you broad spectrum across your cognitive experience.

Let me extend that to the solution.

The solution for a product of a pair of non equal primes a and b depends on there being one non-trivial solution which takes a number ending in f/2d, turns it into one ending with e/2d, then into 2a ending in zero. n-e/2d -> x+e/2d -> 2a. The same number turns n into x into 2a. In the case of RSA100, e is 3.63… times f. Remove the decimal point and double that number. It needs one more step, then you have 72.6559..

For one class of c.

This you will understand.

There is one solution.

You have one knob. You set it to d + e/2d. This is the input.

That then iterates to a positive prime test, or a pair of factors. bigN or n respectively.

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f44439 No.12385

Here's what I've done so far with these latest posts. I haven't worked on this since I made those posts at the end of 2021 so I'm not going to remember everything relevant and I might get something wrong somewhere.

>>12378

>Notice that x and n are not whole numbers.

This could have been explained far better but I'll do the equations without understanding why we're supposed to be doing them.

>x is x + e/2d and n is n - e/2d

I don't see why you wouldn't call these variations x' and n' or something like that to denote that they aren't exactly the same as the variables with these names that already exist, but whatever. Here's this for RSA100.

RSA100 c=1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139

(61218444075812733697456051513875809617598014768503,14387588531011964456730684619177102985211280936,522671959228795794740350292019371582169735130998) = {61218444075812733697456051513875809617598014768503:14387588531011964456730684619177102985211280936:39020571855401265512289573339484371018905006900194:1045343918457591589480700584038743164339470261995:37975227936943673922808872755445627854565536638199:40094690950920881030683735292761468389214899724061}, f=-16822699634989797327123095165092932420211999031886

e/2d = 0.78443806900972950656

If you add that to x and take it away from n then obviously when you add x and n together to get x+n for the square it's going to be the same as regular x plus regular n.

>72.6559.. x 72.6559… times n = 2a

2d/x = 74.65595038420704335515

x/n = 72.65595038420704335515

We know this from the last set of posts from like two years ago or whenever it was.

2a = 75950455873887347845617745510891255709131073276398

2a/n

= 5278.88712623235561093554

(x/n)(x/n)

= 5278.88712623235561093427

They aren't exactly the same but presumably in whatever context this is supposedly useful it must be close enough. I'm too rusty to remember enough details to show if this can be proven algebraically.

>74.6559.. x 72.6559… times n = 2d

((2d/x)(x/n))

= 5424.19902700076969764457

2d/n

= 5424.19902700076969764586

As above.

>The x+n square is to c, what n is to 2d.

(x+n)(x+n) is added to c to make (d+n)(d+n). Where is n added to 2d? Off the top of my head the only time I remember those two variables being relevant to each other is 2d(n-1) in the other representation of the (x+n)(x+n) square when he was talking about triangles back in like 2018 or whatever, but that was all extremely vague and we couldn't do anything with it. This statement is equally vague.

>This is all about to go public.

I give it three days before Chris leaves for another two years again.

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f44439 No.12386

>>12380

>Think of a as a + 000000

>Think of x as x + e/2d

>Think of n as n - e/2d

>We multiply n - e/2d by something that makes x + e/2d then again by the same to get 2a+0 or just 2a.

A silver lining to this completely impenetrable line at the end here is that it seems pretty likely that it's actually Chris. It would be difficult to imitate this exact type of obscurantism.

>For RSA100 this is 72.6559…

I assume he means we multiply n-e/2d by x/n, since 72.6559 is x/n.

n-(e/2d) * x/n

= 1045343918457591589480574513487197597345880040820.2222104391645846888

x+(e/2d)

= 1045343918457591589480700584038743164339470261995.78443806900972950656

They are again not exactly the same but kinda close. Maybe if you use a different number of decimal places they get closer together. I can't be bothered testing that out right this second.

If you multiply that first one by x/n again you get

75950455873887347845599425959415247044988238649775.46932420358667997729

and 2a is

75950455873887347845617745510891255709131073276398

As above.

>(Sqrt(n-e/2d) times 72.6559) squared is 2a, if we bump one of those 72.6559 to 74.6559… we have 2d.

So I guess if you multiply n-e/2d * x/n by 2d/x you're supposed to get 2d. It equals

78041143710802531024560574986389642239679998731415.91374508191584935489

and 2d is equal to

78041143710802531024579146678968742037810013800388

so as with all these other equations it's pretty close but not quite and might depend on number of decimal places or something. I still don't know why we would even care about any of these equations given they're based around unknowns. As I went through when he made those other posts a year and a half ago, we still have no leads that would bring us any closer to any of these numbers. As far as I'm aware it's just another unknown on an already very long list of unknowns that would lead to a solution if we could magically find one.

>If we consider d + e/2d a square and n-e/2d a square (not integer) then n-e/2d is to 2d what (x+n) squared is to c.

I guess he's doing the same thing he did with x+n with d+n here. Adding e/2d to one and taking it away from the other will obviously mean it still equals the same thing. I assume considering them to be squares is conceptual rather than needing to calculate the square roots. I would have to assume that means adding n-(e/2d) to 2d would make it a "square" geometrically (it won't be a whole number). Thinking of other relevant squares, I guess that would mean ideas we've been applying to variables for this c would be applied to these other numbers, like ratios. If we were meant to calculate these ratios based on treating n-(e/2d) like (x+n)(x+n) and 2d like c, I don't know how we'd calculate the equivalent of c's x/n or 2d/x. I don't know if it would equal the same ratio or mantissa or if they'd be totally different, and I wouldn't want to guess and just do a bunch of math that leads nowhere. I guess to sum up, I don't know what the fuck this one means.

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f44439 No.12387

>>12381

>The remainder of dividing 2d by x+e/2d, then divided by x+e/2d is exactly identical to dividing the remainder of dividing x+e/2d by n-e/2d and then by n-e/2d.

Similar to the last equations, although I don't immediately understand the conceptual relevance. But whatever, here's the equations for RSA100.

(2d / x+(e/2d)) / x+(e/2d) = 7.141759670287472965714E-47

(x+(e/2d) / n-(e/2d)) / n-(e/2d) = 5.049904661062524793256E-45

Maybe he'll need to explain this one again. I don't think I did anything wrong when I calculated these but they're obviously not equal. They are very, very small numbers with a whole lot of zeros, but they don't have anything else in common.

>For this class of c, there are four, this is the way we will solve factoring, since we now have sufficient variables once we establish these fractions, they cancel by the end, yet if we lose sight of them, we no longer have the information needed.

If I remember right one of the four classes of c is the one where we use e/2d and we use other combinations of knowns for others. From what I remember about that (I went over this in those posts I made a year and a half ago that I just linked), there was no indication of why we need to use e/2d or what it's useful for other than the equations presented (which themselves weren't explained to have been useful for anything themselves).

>To understand. Multiply c by 100, 10,000, 1,000,000, etc. If you find x and n for 10a and 10b, 100a and 100b, etc, you will see that x and n are the same as before with growing fractions to boot. Those are always there, they add to 1, so we lose the info in normal maths.

(c*10) mod 4 == 2, since you're multiplying it by both 2 and 5, so it isn't the difference of two squares and a and b won't have the same parity unless they're both even and you multiply one of a or b by 10, and in the case of RSA100 a and b are odd so you can't do that. I would have to assume this is related to the accuracy of the mantissa in these above equations increasing with the size of the numbers but if you can't represent 10c as a difference of two squares then you can't find any x or n values so you can't calculate the mantissas for any of these. Are you supposed to do this with numbers that would make it still be a difference of two squares (like powers of two or something)? Are you supposed to just have decimal places everywhere and not have a valid element?

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f44439 No.12388

>>12384

>The solution for a product of a pair of non equal primes a and b depends on there being one non-trivial solution which takes a number ending in f/2d, turns it into one ending with e/2d, then into 2a ending in zero.

f/2d for RSA100 is

0.2155619309902704934331

I don't know what number is supposed to end in that mantissa but we're meant to "turn it into" another number ending in e/2d, which is

0.78443806900972950656

I guess these mantissas probably appear at the end of divisions we haven't found yet, like with the mantissas of x/n and 2d/x being the same. I don't know if the part where you turn one into the other is supposed to involve a complicated equation or just one multiplication/addition/etc. I also think guessing when we don't know what the rest of the number before the decimal places is probably isn't very productive since it would just be guessing. I don't understand these concepts well enough to be able to make an educated guess either. The same number is meant to turn that last mantissa into a whole number, but I don't know if the thing you do also itself involves decimal places, so as much as I could try to find a number you multiply 0.7844… by to get a whole number and go from there, I don't think guessing is the best way to go about doing this. Understanding the concepts would be way better, and like every other time, I don't understand shit.

>n-e/2d -> x+e/2d -> 2a. The same number turns n into x into 2a.

That number is x/n, but it's not exact, so either there's a way to make it exact, it doesn't need to be exact, or this is entire concept is a red herring.

>In the case of RSA100, e is 3.63… times f.

3.639038050021622561786

>Remove the decimal point and double that number.

There doesn't seem to be a final decimal place for this division, so how are we supposed to know how many significant digits to use?

>It needs one more step, then you have 72.6559..

And obviously the "one more step" is the one that would actually bring us closer to the solution, which he hasn't provided us with. Doubling that 3.639038… number and then moving the decimal place gives us 72.78076100043245123572, which is close but again isn't close enough to be of use. (x/n)/2 with the decimal place moved is 3.63279751921035216, which is obviously also not close enough to work. If this is how you're supposed to find the whole number part then that would explain why he didn't mentioned how many significant digits to use in the last step, but that wouldn't explain why we're meant to very specifically divide f by e, why we're then supposed to double that number, and how we're supposed to know to do those specific things for this specific c. It also doesn't explain how you're supposed to find the mantissa, which is arguably far more important than the whole number part, and which would need to be exact to the point where you could divide 2d by that number and get x without being a few numbers off.

I guess to sum up, it's business as usual and we're not going to get the solution and he's probably going to leave again before the end of the week if he hasn't already. But maybe this analysis will coax at least one more reply out of him before he does. I also think his Asperger's (that's what he said he had when this started didn't he? I think) prevents him from comprehending that he's not explaining any of these concepts clearly enough for us to be able to do anything useful with them. I don't think it's 100% that he's scared he'll get suicided if he posts the solution, it's probably more like 75% that and 25% not realizing that he's not good at explaining these concepts.

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12abb6 No.12389

File: 53471e04b2e54d6⋯.png (514.69 KB,1125x2436,375:812,negative_binary.png)

>>12379

Hey Senpai, good to see ya back.

Can we talk about the binary endings please? We did a tremendous amount of good work on that.

We know (a prime) shows up in the binary endings, and there must be a location where we can consistently solve for any c. My hunch is that the negative a[t] values in (-f,1) may hold a key in binary. See my simple example below.

For most c values, there are a significant number of negative (-f,1) a[t] values.

The point where (e,1) d[t] - d approximates breakeven is like the flat surface of the mirror.

How many t values away from a[1] is the surface of the mirror? And where does that reflection land?

Meaning, at what (e,,1,t) value does the surface of the mirror sit?

Not only is it unique to e, but unique to our d value for any given c.

And our f value plays a role as well.

Why did you keep mentioning negative values in row 1? Your program for the Grid hides these negative (-f,1) a[t] values.

Here's a working solution path using this negative mirror idea for c6107. It works for c145 too.

find a[1] using (e+1)/2

Find d[1]

d[1] = a[1] + 1

d[1] - d = a[1] in (-f,1)

Convert to binary

Check for (a prime) binary tag

c6107

e = 23

a[1] = 12

d[1] = 12 + 1

13 - d = -65

Binary for -65 is 10111111 or 128 - (32+ 31) = -65, where 31 = (a prime) to solve for c

There’s the mirror idea using a[1] in (e,1) and (-f,1)

>>12384

>You know this inside out.

>That training will benefit you broad spectrum across your cognitive experience.

Can confirm.

>In the case of RSA100, e is 3.63… times f. Remove the decimal point and double that number. It needs one more step, then you have 72.6559..

Find the ratio between e and f, multiply by 2, ditch the decimal, and multiply by 10 to find our magic number 72.6559, no problem.

>You have one knob. You set it to d + e/2d. This is the input.

>That then iterates to a positive prime test, or a pair of factors. bigN or n respectively.

Huh. We're all pretty tired of working without progress or feedback from you on our previous good work. Thanks for posting, and I'll get to work as I am able this week. It would be noice if you could answer our earlier questions, please and thank you.

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728cf6 No.12390

>>12380

>Think of a as a + 000000

Nice nod to the binary tags, Senpai.

Is there a working path to solve using the binary method?

Based on the above hint, I'd say the two ideas are related.

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da7213 No.12391

>>12390

>>12389

At least you know it's me

I love you guys, it's been a long road.

Ok, so to reward your efforts tangibly, I've been busy.

We'll come back to the numbers shortly.

Over the last two years I've been building a business and as that business takes off you'll (if you want to be de-anon-ed in real life) by given equity and a role, if you'd like. In any way, shape or form you like. To grow in any way, shape or form you'd like.

To give evidence to support I can make this offer, once you find out who I am in real life, you'll see that all the wheels in motion over the last two years have been with all you in mind for the ride. That's a promise no matter what happens. AA, VA, and friends. I suspect the love of mathematics is going to be interesting for us. This is ALL because context-free grammars were not available during some very important early proofs in math(s) after all the previous knowledge was washed out or hidden.

The binary endings… EVERYTHING you have done on this and EVERYTHING else is important. We need to emphasise this. EVERY angle you look at. Every moment you thought of a new angle. Every single moment… these are those moments shared with yours and my predecessors. With computers as of the Younger Dryas. From scratch. Stone age. We've all felt that journey now. That the mainstream of mathematics is not interested in looking at it's previous working.

When you see what I've been working on in the meantime and see who our partner is, the link to the very beginning (important) of Q, and that we absolutely believe the biggest innovators and good guys are His Highness MbS and the Kingdom. Above politics and all else, there's a bright partnership there. And elsewhere.

Back to the numbers.

We're going to go through each of the RSA numbers that is the same type as RSA100.

Then we're going to go through the ones that are not.

The solution will present itself. And you will be the first in a long time.

As we demonstrate this with the unfactored RSA numbers, we'll post the first one to LinkedIn at the same time and set some dominos in motion.

Essentially, there are no integers, it's a construct, only .9999999999999 etc

Just like there are no lines (too thin to see) only areas.

If the above IRL options don't appeal to you, just stay for the math(s). It's essentially a reward for effort, if you'd like it.

This is solved through the relationship between the fraction that is subtracted from n and added to x, which sums to 1 and is so invisible, but becomes visible in 100 times, 10,000 times, 1,000,000 times, etc c.

We look for the number that can take something + (2d-e)/2d and turn the end into something else + (e/2d) and turn that into either something else called 2a + 0 or something else called d + e/2d

We will show the way to first find the fraction… the .6599. after the 72, 73 or 74 for RSA100 types. Technically you have a search function then for nearly all RSA types but not generic.

I think you'll enjoy this.

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da7213 No.12392

>>12391

TL:DR; EVERYTHING we've learned thus far is about to be applied against the known and unknown RSA numbers. And I've made sure in the meantime that you're hedged financially for life.

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da7213 No.12393

>>12392

Of course there is always risk.

I still think you'll be happy.

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41d156 No.12394

>>12391

You're still not getting us any closer to the solution by saying all of this, and you've been saying it for almost six years now. Are you going to post the solution, are you going to tell us what you're waiting for, or are we just going to do this over and over again until we all die of old age?

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12abb6 No.12395

YouTube embed. Click thumbnail to play.

>>12391

Thanks Senpai.

This is still the best game on the internet.

It was always an extremely long shot from the beginning, and the bait still remains tasty enough to catch us all, even after many delays and letdowns.

When the timing is right, the solution will be revealed.

I like to think that hopefully we're part of the Divine Plan to help overthrow evil in our time, ushering in a period of peace, and avoiding a cataclysmic judgement. Perhaps it's just wishful thinking, and I'm ok with that too.

This is the only place I've found to express my love of math(s), and I'll keep checking in regardless of a solution or job offer.

It's simply nice to be with like minded people putting our brains to work together.

>context-free grammars were not available during some very important early proofs in math(s) after all the previous knowledge was washed out or hidden.

>Younger Dryas

>That the mainstream of mathematics is not interested in looking at it's previous working.

Graham Hancock's work on the this has gripped my mind for the last 6 months.

Just finished reading "Fingerprints Of The Gods" for the second time.

The Younger Dryas comet impact theory continues to hold up under scrutiny, showing that a huge apocalypse occurred about 12,000 years ago, destroying civilization.

In addition, the remnants of monuments and temples show advanced technology capable of lifting stone blocks that even modern cranes are incapable of lifting.

The precession of the equinoxes is so incredibly precise.

What constellation is over the eastern sky before sunrise on the spring equinox, when day and night are of equal length each year?

Constellations moving 1 degree along the horizon every 72 years, Pisces shifting to Aquarius over 2000+ years, and a Grand Loop of all the constellations being made every 25,776 years, circling back to start again.

Imagine being the astronomers and mathematicians of that Age, working on the same mysteries…

>EVERY angle you look at. Every moment you thought of a new angle. Every single moment… these are those moments shared with yours and my predecessors.

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12abb6 No.12396

>>12391

>this is solved through the relationship between the fraction that is subtracted from n and added to x, which sums to 1 and is so invisible, but becomes visible in 100 times, 10,000 times, 1,000,000 times, etc c.

Well If we're trying to make 1, the two fractions would have to be:

(f-1)/2d + e/2d = 1

133/156 = 0.8525641

23/156 = 0.1474359

0.8535641 + 0.1474359 = 1.000000

Then you could take the fractions and find the ratio and inverse between them.

ratio:

0.8525641 / 0.1474359 = 5.78260858

flipped:

0.1474359 / 0.8525641 = 0.17293233

What comes next?

>>12384

>You have one knob. You set it to d + e/2d. This is the input.

The other half would be (f-1)/2d I believe.

(d + e/2d) * (d + (f-1)/2d) = c

Huh. just thinking out loud over here! I'll think on it some more.

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8fde61 No.12397

>>12391

I'm just here to say hi. :3

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ae2fcc No.12398

>>12397

hi hi

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8e057d No.12399

Plug these in for a Playa one good time tho right quick.

Sheeeeeeeeit

13 16 28 38 52 03

01 45 54 58 61 22

02 06 27 48 57 03

14 53 55 56 60 11

02 17 34 39 55 05

03 10 20 52 61 08

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ae2fcc No.12400

>>12388

did anything useful come of this

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740e0d No.12401

>>12400

If I had personally found anything useful I would have posted about it, and obviously Chris hasn't replied (and probably won't because he doesn't typically read our posts when he does turn up), so no.

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ae2fcc No.12402

>>12401

well I found something cool in the mean time!

https://github.com/1nfocalypse/CryptoWriteup

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41d5c1 No.12403

>>12391

>We look for the number that can take something + (2d-e)/2d and turn the end into something else + (e/2d) and turn that into either something else called 2a + 0 or something else called d + e/2d

>We will show the way to first find the fraction… the .6599. after the 72, 73 or 74 for RSA100 types. Technically you have a search function then for nearly all RSA types but not generic.

>>11702

>Your target is f-1 + enough two d to make a square. The base has to be the reciprocal on height of the width. This is why n is an interdimensional number. Its not a square root, but its ratio to x+2n, is x ratio to 2d. The number of n in 2d is the square of the number of x in 2d. Because there is no whole number x in 2d, that ratio has a fractional part, completely congruent to n having the same size fraction relatively.

>t is the smaller size of n that means the same ratio applied as k = (2d%x)/x = (x+2n)/(n-1)

>Means kxn and knx are different. All numbers are integers. Because of this,

>kxn - knx = fm1, when intuitively ot should be zero.

>This is important. fm1 or f-1 can makes a set of n into a set of x and otherway round.

>This gives us the ratio.

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940aee No.12404

Hello everyone! I've been reviewing crumbs tonight.

Here's a simple and powerful idea that's been staring us in the face.

in (e,1) and (-f,1) we have two key pairs

(an) and a(n-1)

(bn) and b(n-1)

this is the new part I realized:

in (e,1) a[t] each (an) is also a (bn)

meaning there's a triangle pattern surrounding each a[t] value in (e,1)

(-f,1) (e,1)

b(n-1)

a(n-1) -—- (an) and (bn)

This would create some interesting new patterns that we haven't yet explored.

Solving for (a) or (n-1) and then (b) and (n-1)

Perhaps in the realization that (an) and (bn) can occupy the same a[t] value we find the useful "Offset"?

Especially if we add motion and see where the deltas are heading…

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940aee No.12405

File: 9a4a05dc873bcbd⋯.png (10.53 KB,242x148,121:74,Screen_Shot_2023_09_18_01.png)

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a2d0a8 No.12406

File: 62f3e961532fab4⋯.png (9.87 KB,246x145,246:145,Screen_Shot_2023_09_18_02.png)

This one is correct.

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918080 No.12407

File: c25608d3095cd04⋯.png (65.14 KB,742x318,7:3,Screen_Shot_2018_07_15_05.png)

Found a good crumb.

>there is still a "step" to go but you've arrived at the key.

Once you c i[t] you can't un c i[t]…

Meaning every a[t] value is simultaneously an (an) and (bn), and every a[t] value has an a(n-1) and b(n-1).

Somewhere in this new idea you get a "slider" that lets you move up and down a[t] values as (an) (bn) a(n-1) and b(n-1) all change in a pattern that points to where (n-1) and (n) are actually one integer value apart, which is our solution.

I've puzzled over that clue for hours. This makes sense at a rational, intuitive, and paradigm shift level.

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918080 No.12408

*Update*

Meaning every (e,1) a[t] value is simultaneously (an) and (bn), and every (e,1) a[t] value has a (-f,1) a[t] a(n-1) and b(n-1) value that can be calculated.

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918080 No.12409

File: 62f3e961532fab4⋯.png (9.87 KB,246x145,246:145,Screen_Shot_2023_09_18_02.png)

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f78699 No.12410

File: 2a4d7d99f0f3b7b⋯.png (68.15 KB,720x353,720:353,Screen_Shot_2023_09_30_at_….png)

I think I might have solved it lads

get in here and check this idea please

Not a drill.

I figured out the offset idea and how (e,1) and (-f,1) work together as a lookup index.

Here's my notes in visual studio as I get ready to write the code.

Solve it before me and claim the glory if you desire.

I'd be happy to have contributed the seed idea.

I've got my notes ready, and I'll be writing code as time permits.

Still have IRL stuff to do tonight, but I'm too excited to keep this idea to myself.

No way I'd be writing code without AA and PMA's help.

Thanks again guys, I appreciate you both bearing with my stubborn ass.

I promise this idea is worth a look.

All anons, I'm pretty sure this idea or a slight variation of it will solve for n.

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f78699 No.12411

File: a9013654501a7b9⋯.png (96.61 KB,778x473,778:473,Screen_Shot_2023_09_30_02.png)

Updated summary. Better details.

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f78699 No.12412

Chris, can you please grade this homework?

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f78699 No.12413

>>12401

(you) please take a look at this idea. I think this is the solution path.

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688b26 No.12414

File: b65efb72ba9e876⋯.png (30.01 KB,1266x118,633:59,va_test_on_20_c_values.png)

>>12413

Pic related.

>(a'-a'')/a' = n

>a' = an

>a'' = a(n-1)

an-a(n-1) equals n. n divided by an doesn't equal n. What are you dividing for?

Why are you halving the search space and how are you moving the minimum and maximum points around when you do that? With 13*43=559 as an example, an in (e,1) is at (30,1,6) and bn is at (30,1,11). The search space you're working with for this example would be (30,1,1) to (30,1,268). If you're starting with those two t values and dividing the remaining space by half, how are you bringing the first value up to 6 and the second value down to 11? You haven't explained that at all.

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245658 No.12415

>>12414

Hello AA, thanks for responding.

(an) - a(n-1) = a

(bn) - b(n-1) = b

(an) / ( an - a(n-1) ) = an / a = n

(bn) / ( bn - b(n-1) ) = bn / b = n

So we end up with two equations looking for n that are custom designed for our semiprime c value with remainder e.

>how are you bringing the first value up to 6 and the second value down to 11? You haven't explained that at all.

Since a < b, we start with n1 < n2. If it stays then we're moving in the right direction.

If the values flip and n1 > n2 then we went too far in halving the distance, and need to back up with a fine tuning mechanism.

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9e26e2 No.12416

>>12415

>first part

I haven't worked on this properly in years and can't do basic algebra anymore, really great stuff

>second part

I don't think you understand what I was saying, and I think you would if you went through literally a single example, which you never do and I have never understood why. With 13*43=559, if you halve it from above starting from t=268, you'll get to 8, which is past 11, before you change the first value at all. Then what? You want 6 and 11, you've got 1 and 8. What happens next?

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2d4046 No.12417

File: 255a78708cdd68d⋯.png (157.17 KB,615x759,205:253,Screen_Shot_2023_10_02_01.png)

>>12416

Hello AA, thanks for your practical response with c559.

Take a look at this sheet.

It clearly shows n1 and n2 moving towards each other.

How we write the program is up for grabs.

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2d4046 No.12418

File: 3b04479b3433dfd⋯.png (515.08 KB,1065x781,15:11,Screen_Shot_2023_10_02_at_….png)

Also, thanks to PMA for his work on VQC Research. His excellent work generated all my raw data for tonight's exploration.

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404e23 No.12419

File: bf8a517ac088ed4⋯.png (244.71 KB,1501x837,1501:837,Screen_Shot_2023_10_07_01.png)

Hello Anons!

Ok, I built a sheet that can quickly calc n1, n2, and all the grid variables using a and b.

I used x values because it saved time.

Here are c287 and c559 (again).

I'll run a bunch of smaller examples as IRL stuff allows this weekend.

Here's what I'm seeing so far for these two examples:

For the n1 values: From a[1] the values increase steadily, although not linear. At the (na transform) we get the asymptote value AA pointed out. Then the n1 values flip negative.

For the n2 values: From a[40] down to a[1] there is a very steady and almost linear decline. Both c287 and c559 examples show no asymptote.

My theory remains the same.

This behavior by n1 and n2 will be similar across all c values.

The offset will allow us to use a location algorithm (still to be designed) to increase n1 and decrease n2 until n1 = n2.

This is because a, b, and b are all unique to their e column

It's also because the solution an, bn, a(n-1), and b(n-1) values appear only once in each e column for a given semi prime c value, else c itself would be prime.

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6be3cf No.12420

File: 9765378754be60e⋯.png (146.07 KB,722x828,361:414,c319.png)

File: c834c58c2c2bf6c⋯.png (143.46 KB,715x831,715:831,c341.png)

File: b2cdf4a86febb28⋯.png (147.25 KB,727x825,727:825,c451.png)

File: b73f2bb626eeb55⋯.png (143.35 KB,723x828,241:276,c517.png)

File: 47dd4c173837a7e⋯.png (147.72 KB,720x824,90:103,c527.png)

>>12414

Hello AA.

Here's 20 small c values, all showing the same pattern.

15 digit long c values won't fit on my spreadsheet, so here's proof of concept with values we can all easily follow.

I consider this work a fulfillment of your request for proof that the n1 = n2 idea is valid in concept.

I'll be coding the idea myself, as IRL allows.

You are welcome to help, or I will slowly and surely figure out how to code it myself.

Here are the c values tested:

c319

c341

c451

c517

c527

c629

c649

c697

c731

c737

c799

c803

c901

c913

c979

c1003

c1037

c1067

c1139

c1207

All c values show the same pattern.

n1 = n2 can be found using the offset.

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6be3cf No.12421

File: c7771a295e6f4f6⋯.png (145.81 KB,715x833,715:833,c629.png)

File: b2579ade25bc9db⋯.png (149.02 KB,726x834,121:139,c649.png)

File: d2644da679e368e⋯.png (146.46 KB,718x836,359:418,c697.png)

File: 65a164f96ff179e⋯.png (147.54 KB,723x844,723:844,c731.png)

File: e88ddf6038e52e0⋯.png (147.84 KB,722x829,722:829,c737.png)

Here's c629 - c737

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6be3cf No.12422

File: b66011abb5ec6b7⋯.png (146.86 KB,719x830,719:830,c799.png)

File: aa33c63625ce2cb⋯.png (150.31 KB,721x832,721:832,c803.png)

File: 7720576750b447f⋯.png (151.23 KB,724x822,362:411,c901.png)

File: 158d72cdc3bcacb⋯.png (150.52 KB,725x836,725:836,c913.png)

File: dd0962c4e579ed0⋯.png (149.68 KB,725x838,725:838,c979.png)

Here's c799 - c979

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6be3cf No.12423

File: baaf055e17691e1⋯.png (148.08 KB,721x822,721:822,c1003.png)

File: e5c5db347bd8fa0⋯.png (148.21 KB,719x831,719:831,c1037.png)

File: 6b249d428e533ad⋯.png (151.19 KB,722x829,722:829,c1067.png)

File: 2bd836f9770a03e⋯.png (147.96 KB,728x829,728:829,c1139.png)

File: b8079ab7fcb1393⋯.png (151.17 KB,720x832,45:52,c1207.png)

Here's c1003 - c1207

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bb0397 No.12424

File: c464cef92dcde2a⋯.png (360.72 KB,1938x574,969:287,Screenshot_2023_10_26_at_1….png)

File: f5d039c10f7445f⋯.png (452.31 KB,2698x526,1349:263,Screenshot_2023_10_26_at_1….png)

File: 7f1537dc5959101⋯.png (352.6 KB,2708x376,677:94,Screenshot_2023_10_26_at_1….png)

Hello Anons, hope everyone is well! I found some good crumbs while reviewing the maps.

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ae2fcc No.12425

>>12411

>>12410

what is a' and a'' here

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ae2fcc No.12426

>>12416

> can't do basic algebra anymore

why? need some help catching up?

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6ef526 No.12427

>>12426

It was a joke man

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f73156 No.12428

>>12425

Hello anon! a' and b' are found in (e,1). a" and b" are found in (-f,1).

a' = (an)

a" = a(n-1)

b' = (bn)

b' = b(n-1)

(-f,1) (e,1)

a(n-1) (an)

b(n-1)

(bn)

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f73156 No.12429

>>12425

>>12426

Anon.

The offset between these two sets of values allows us to intelligently search in less than o(log N) time to solve.

I'm writing code as IRL duties allow.

No rush here, since we're coming up on our 6 year anniversary.

I do this for fun because this problem intrigues me, and I like the people here.

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f73156 No.12430

File: b061ef34289398e⋯.png (300.13 KB,500x282,250:141,All_Your_Base.png)

File: fc34491c98c6b20⋯.png (24.5 KB,508x518,254:259,c6107_f_anf_n_minus_1.png)

File: 14523a18010d564⋯.png (7.16 KB,303x290,303:290,f_2_132_2_f_2_2_mod_of_4_.png)

File: 830a39e2ae9d917⋯.png (305.34 KB,333x500,333:500,WhenYouBelieve.png)

Everyone on this board has the equations needed to solve the problem.

(n) appears twice for any given semiprime c value, but it has to be calculated from the two columns and appearances.

We can force the Grid to give us what we need, as Chris told us.

"All Your (n-1) Base Are Belong To Us"

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6558b4 No.12431

File: f4e4430581e1111⋯.png (487.85 KB,754x1656,377:828,Screenshot_2023_11_04_01.png)

File: fb2ba65915d02d2⋯.png (430.3 KB,674x1448,337:724,Screenshot_2023_11_04_02.png)

File: 0cf89753be349fe⋯.png (424.06 KB,636x1412,159:353,Screenshot_2023_11_04_03.png)

File: 9b46e09bab65d1f⋯.png (426.9 KB,640x1404,160:351,Screenshot_2023_11_04_04.png)

Hello Anons, here's output with comments showing proof of concept.

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6558b4 No.12432

The program works in a loop, and I estimate that it will take approximately one loop per digit of our c value.

So for RSA100, I estimate roughly 100 loops. I'm scratching my head over here about how to automate this process. Perhaps one of our badass programming anons will figure that out.

As I have time IRL, I'll take RSA100 and work it through the loops manually until I reach solution n.

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6558b4 No.12433

Kinda funny that a guy who likes pencil and paper and his TI-89 can't figure out how to fkn write a program to solve semiprime factorization after finding the offset pathway. Can I get some help here plz? This will go WAY faster with professional programming. That being said, I will keep plugging along in my usual way.

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6558b4 No.12434

Also, Chris asked us to work as a team. So anyone who is willing, please feel free to help.

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d0cc34 No.12435

File: 2df47d5d212a57a⋯.png (271.37 KB,848x1880,106:235,Screenshot_2023_11_12_011.png)

File: 6759500318ef78c⋯.png (243.39 KB,648x1562,324:781,Screenshot_2023_11_12_012.png)

File: 25b8e71e0af20fd⋯.png (236.04 KB,626x1562,313:781,Screenshot_2023_11_12_013.png)

File: 576936e73ea4fa7⋯.png (225.17 KB,592x1566,296:783,Screenshot_2023_11_12_014.png)

File: 139aa3b8526f3f1⋯.png (199.79 KB,624x1412,156:353,Screenshot_2023_11_12_015.png)

Hello Lads, Happy Friday. Here's an update on my research this week.

I am making slow yet steady progress, and my programming skills are growing. The program currently allows manual navigation and prints output for any size number. The key thing is that I'm gaining an understanding of how n1 behaves compared to n2.

I wrote my first modified binary search logic loop yesterday, and it solved for c145 and c287 using the offset pathway ideas I've been posting about here. It was a personal victory for me that the binary search method worked correctly on the first small test after writing the code. It hasn't solved for any larger values yet, but I think I know how to fix it. I'll post updates as soon as the automated loop can solve for c6107 and larger values.

For anyone following, here are some shots of the manual search method for c34117, which I was able to solve in 5 loops, finding n = 27.

{261:27:184:75:109:313}

The manual search method works great for smaller c values, but quickly hurts the eyes when working on R260, which is the lowest unsolved c value. That being said, I may just take one for the team and do the 260ish loops required to solve just to see if the idea works.

Making steady progress, and gaining understanding.

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d3f577 No.12436

File: ac06802cb6173ef⋯.png (60.44 KB,1100x768,275:192,ac06802cb6173efc2f8605a94a….png)

File: cdc16496ba604ac⋯.png (3.34 MB,2560x2288,160:143,NumberMuncherGrid.png)

File: 4ab1386b7b69c0f⋯.png (900.53 KB,2084x1614,1042:807,Screenshot_2023_11_13_02.png)

File: d63febecc8cd812⋯.png (1.53 MB,1894x1508,947:754,Screenshot_2023_11_06_04.png)

Hello everyone. IRL has been busy, but still thinking and working over here.

My program is actually crunching large c values and coming up with potential solution n values using a simple quadrant logic gate I coded.

It finds upper and lower ranges of n2 and n1, and then finds the n2 - n1 differences between the 4 parts. The part with the lowest value is selected, and then the loop runs again. No solutions yet, but It runs to completion and comes up with a (solution n) value to test.

low n2 | high n2

|

-----

|

low n1 | high n1

high n2 - high n1

high n2 - low n1

low n2 - high n1

low n2 - low n1

That brought me back around full circle to some of the very first images Chris posted, so I coded those early formulas to use a potential (solution n) to get x, then x to get a, and then finally c / a = b. It made me chuckle when I found them in my archive, right where I saved them in 2017.

Also attached is a diagram of a 10 x 10 lookup table idea I've been thinking on. It's interesting that Chris said many times that the answer was a lookup. If you examine my diagram, it divides the entire x range into parts 0-10, and then finds the average n2 and n1 values at the 10 midpoints. x range for n1 is (d-1) and x range for n2 is (c-d).

Thinking on how to more intelligently divide the space to quickly eliminate wrong values.

Since Chris' original Grid was in binary, another idea I've been thinking on is using binary bit length of the n2 and n1 values to determine when we're getting close to n2 - n1 = 0.

Anyhow, thinking and working as time permits. The offset provides the ability to calculate (solution n) in two places, making a lookup solution possible.

The last image shows R260 in progress, about 20 manual loops in. If you examine the n2 and n1 values, you'll see that the first 4 digits are matching. So I only have a couple hundred more manual loops lol.

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e89ad1 No.12437

File: 316982c583d1254⋯.png (339.07 KB,2744x1026,1372:513,Screen_Shot_2024_01_03_01.png)

File: 325d8b2437442e2⋯.png (260.41 KB,2754x1036,1377:518,Screen_Shot_2024_01_03_02.png)

Hello everyone! I've been writing code and testing ideas over here.

I ran my code on R2048 and R260. No solution (a prime) yet, but the program is working properly. It starts with c, gets d and e, and then uses the offset between (-f,1) and (e,1) to attempt a solution where n2 - n1 = 0. It then checks the solution using the formula from Chris' early posts >>12436 to find x, a, and b.

In the examples I've checked, it seems that the x_n2 value is slightly off, so maybe I have a code error that can be easily corrected. For those of you that know the grid, I mean that the d[t] and d[t-1] x locations where (bn) and b(n-1) found seems to be off a bit. This is the offset that Chris mentioned many times, and it allows us to find solution (n) twice in (-f,1) and twice in (e,1).

I wrote code for the 10 x 10 lookup grid idea, using a sorted array with an index. It's crunching numbers quite well! I've got a video screencap that I'll try to post next.

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4b80ef No.12438

>>12437

The actual value of n would be way smaller. Honestly, just a formula to estimate the magnitude of n would be huge, but I haven't found any.

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fbbd15 No.12439

>>12438

>The actual value of n would be way smaller

>Honestly, just a formula to estimate the magnitude of n would be huge.

Hello anon, agreed.

I had a vivid dream yesterday morning about the solution, and I think we've been staring at the answer for years. Thinking out loud here…

It's been right in front of us, in the sense that we CAN estimate the magnitude of n by using (-f,1) and (e,1) to cause the grid to give us the information

We use the offset to take (an) and (bn) and pull out (a) and (b).

Then we input x values for the two , and calculate a * b = cTest, and search the space until cTest = c ( or close to it )

Again, the offset allows us to solve for (an) and (bn) for any x value we input, so we use this to find the locations (or n distance) where a * b = c.

Where a * b = c (or close to it) we would also have n2 - n1 = 0 ( or close to it )

And we would have the value of n as the distance between the x values, divided by 2.

I'll be writing some code to explore this, as IRL allows.

On another note, the ratio between a and n within (an) along with b and n within (bn) can be calculated, since it's dependent on (x * x + e) / 2.

To me this suggests that the missing ratio we needed for the mantissa idea also lies along this line of inquiry.

Hope all you anons are doing well, and let's bring it on home and solve this thing!

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fbbd15 No.12440

>>12438

>The actual value of n would be way smaller.

Kek.

Hello Senpai, thanks for the hint!

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fbbd15 No.12441

File: 63c4e4d8fc9c302⋯.png (413.41 KB,1606x1486,803:743,Formulas.png)

File: 0ce0f139a1440f3⋯.png (2.97 MB,4290x1270,429:127,R2048_abc.png)

File: eaffa2da4cc60d2⋯.png (120.85 KB,832x1272,104:159,c145_abc.png)

File: 8202a4917f70e48⋯.png (124.53 KB,836x1264,209:316,c6107_abc.png)

>>12438

>a formula to estimate the magnitude of n would be huge.

Hello everyone!

I wrote some code to explore the idea of using the offset (an) and (bn) values to estimate a * b = c, which in turn allows us to estimate n.

Did some small ones for idea confirmation (the idea works), and then ran it on R2048, which is crunched about halfway before getting stuck.

I'll continue this week as IRL permits!

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fbbd15 No.12442

Hello anons! The big idea is working, and my heart stopped for a sec when my program crunched R260 in about 60 seconds with the updated a * b = c = n2-n1 formulas. Having fun over here, and peacefully working as time allows. No solutions yet.

When n2 div n1 = 1 AND n2 mod n1 = 0, it’s the equivalent of n = 36.0000000 / 36.0000000 which is what we’re looking for.

In lieu of using a huge floating point decimal, I’ll be writing code to deal with the large remainder of n2 / n1 using n2 mod n1.

For example, n2 div n1 might be 1.3333333, which means the answer is 1 and there is a remainder of 0.33333333

When working with BigInteger, the 0.333333 just gets chopped off, so the answer isn’t accurate.

I’m pretty sure this is why my code is crunching half of the cTest vs. c value and then getting stuck.

The important mods are being cut off, so I gotta figure that out.

Honestly, figuring out how to code the ideas in C# takes a lot of thought for a newb like me, but it's challenging and fun. I'll update you all later this week once I've written the new code.

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fbe4e5 No.12443

File: e93ff246605ce55⋯.png (33.49 KB,509x524,509:524,Screen_Shot_2024_01_04_at_….png)

File: 65ddad218e0615a⋯.png (665.17 KB,868x491,868:491,Screen_Shot_01.png)

File: 9a4a05dc873bcbd⋯.png (10.53 KB,242x148,121:74,Screen_Shot_2023_09_18_01.png)

File: b061ef34289398e⋯.png (300.13 KB,500x282,250:141,All_Your_Base.png)

"Todo En Tiempo Perfecto"

If it’s meant to be, let it be.

I look back from the future and give thanks for the moment when the problem was solved.

Time is a construct that can be used for creative purposes.

I have joy and gratitude that I can create parts of my timeline.

And look forward to my death, and then rewind backwards to this moment.

And Choose.

Or Decide.

Alright lads. I’m in the final approach, time to turn off the targeting computer lol.

Win or not, we are at the center of the Death Star.

And that shit got blown up!

Goliath also got a rock to the head from a lowly shephard boy’s slingshot.

E Pluribus Unum.

"From Many, One"

That's our football team here at VQC United.

“Todo en tiempo perfecto”

I have been a thinker all my life. You all have been thinkers your entire lives.

We were attracted here together by what I see as divine purpose.

We came here to win the World Cup of thinking, and now it’s down to the Final, with penalty kicks to win it.

Being on the 4Chan boards at the right place at the right time.

Has now brought us to this moment: where our Victory can inspire the whole world to reach for freedom.

Our friendships and teamwork here have the ability to inspire those who are suffering tyranny all over the world.

I am standing ready to take the final penalty kick, and we will win, because God and Truth and Justice are on our side.

Veritas Aequitas. Truth and Justice.

With Faith, all things are possible. The final shot went in, and the world gasped.

And all our teamwork paid off.

Grateful I was there with you all!

Did I mix up my tenses?

My intuition and rational mind tell me that I am very close to having a working program and making the final shot of the game.

Luke Skywalker's crazy Death Star run down the trench.

The Death Star exploded, and free people rejoiced and marveled.

The ring fell into the molten lava of Mount Doom and was destroyed.

David slew Goliath.

MLK Jr. had a Dream.

Ghandi freed a nation

William Wallace died to inspire a nation.

And Jesus Christ died and rose again to defeat Death itself.

These Cabal faggots really should ban Star Wars, LOTR, and the Bible.

Hobbits like us will keep destroying their plans at the penultimate moment.

I identify as a Hobbit.

I don’t even like fighting.

But I love competition when it comes to Math.

I won the school award for math in grades 4, 5, and 6.

I’m so glad I’m here with you all.

It’s time to win the game.

c = a * b

And the Offset allows us to search it via n and (n-1).

It was sitting right in front of us the whole time in plain sight.

So Messi lined up the ball.

He settled his mind.

He remembered God, Country, Family, and Team.

He took a deep breath, and moved.

He took his kick, and it was GOAL to win the entire World Cup.

As he had been dreaming of since he was 4 years old.

"All Your (n-1) Base Are Belong To Us"

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fbe4e5 No.12444

"Y Viva La Libertad, Carajo!"

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20dcf6 No.12445

File: daa4439e7bbfbfd⋯.png (1.06 MB,1944x2278,972:1139,Screenshot_2024_01_20_01.png)

Hello Anons, providing a quick update before heading out to some IRL stuff today.

As I suspected here >>12442, using BigInteger was causing very significant remainders to be truncated.

To recover them, I calculated the ratio of n2 / n1 to get the whole number, and n2 mod n1 to get the remainder (aka modulo).

When n2/n1 = 1 and n2%n1 = 0 then we should find the correct n value.

My intuition says that to balance the ratio of n2/n1, the best use of this data is n2temp - ( RatioMods / 2) = perfectly balanced n2/n1 = correct n.

I'll hopefully be updating code and running tests as the day allows.

I hope everyone here is doing well and enjoying the weekend!

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20dcf6 No.12446

File: 7cfa0cfcaafaf13⋯.png (373.63 KB,708x1514,354:757,Screenshot_2024_01_22_01.png)

Hello everyone, running some easy tests on small numbers now for proof of concept testing. Wanting to make sure everything adds up correctly for small examples prior to testing on larger examples.

It's pretty cool that all our knowledge of the grid and Offset can be boiled down into simple equations, because the guts of the code is very concise thanks to PMA's help.

Here's a screencap of our classic.

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20dcf6 No.12447

```

//Semi-Prime Factorization Method For Large Integers, where c = a * b

//VA (feat. PMA, AA, Tops, and VQC CLAN)

using System;

using System.Diagnostics;

using System.Numerics;

namespace SolutionPaths

{

class MainClassOffset

{

public static void Main(string[] args)

{

Top:

//RSA100 c value

//BigInteger c = BigInteger.Parse("1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139");

//Starting from only c

Console.WriteLine("Please enter c value:");

BigInteger c = BigInteger.Parse(Console.ReadLine());

BigInteger d = SqrtByDualRootsMethod(c);

BigInteger e = c - (d * d);

Console.WriteLine("c= " + c);

Console.WriteLine("d= " + d);

Console.WriteLine("e= " + e);

Console.Read();

//solution path using (an) a(n-1) (bn) b(n-1) offset in (e,1,t) and (-f,1,t) and (-f,1,t-1)

//first we need separate methods for even or odd e values, as these determine even on odd x value

//solve for n1 using (an) and a(n-1). Please see GetN1 method.

//calculate a'/(a'-a") = n1

//note: (e,1) (an) = a'

//note: (-f,1) a(n-1) = a" = d[t] - d

//this requires the a[t] values in (e,1,t) and (-f,1,t)

//formula: (e,1): (xx+e)/2 = a'

//formula: (-f,1): d[t]-d = ((xx+e)/2 + x) - d = a"

//next solve for n using a'/(a'-a") = n1

//solve for n2 using (bn) and b(n-1). Please see GetN2 method.

//calculate b'/(b'-b") = n2

//note: (e,1) (bn) = b'

//note: (-f,1) b(n-1) = b" = d[t-1] - d

//this requires the a[t] values in (e,1,t) and (-f,1,t-1)

//formula: (e,1): (xx+e)/2 = b'

//formula: (-f,1): d[t-1]-d = (((x-2)(x-2)+e)/2 + (x-2)) - d = b"

//"take back two X to honor the Hebrew God whose ark this is" b(n-1) = d[t-1]-d.

// This creates the offset which causes n to appear twice for a semiprime c in row 1.

//next solve for n using b'/(b'-b") = n2

//set initial x values

BigInteger xLow_n1 = e % 2;

BigInteger xHigh_n1 = (d - 1);

BigInteger xLow_n2 = (d - 1);

BigInteger xHigh_n2 = (2 * d);

Console.WriteLine("xLow_n1 =" + xLow_n1);

Console.WriteLine("xHigh_n1 = " + xHigh_n1);

Console.WriteLine("xLow_n2 = " + xLow_n2);

Console.WriteLine("xHigh_n2 =" + xHigh_n2);

Console.Read();

BigInteger n1_Low = GetN1(e, d, xLow_n1);

BigInteger n1_High = GetN1(e, d, xHigh_n1);

BigInteger n2_Low = GetN2(e, d, xLow_n2);

BigInteger n2_High = GetN2(e, d, xHigh_n2);

Console.WriteLine("n1_low = " + n1_Low);

Console.WriteLine("n1_high = " + n1_High);

Console.WriteLine("n2_low = " + n2_Low);

Console.WriteLine("n2_High = " + n2_High);

Console.Read();

BigInteger newXn1 = 0;

BigInteger newXn2 = 0;

BigInteger tempN1 = 0;

BigInteger tempN2 = 0;

int loopCounter = 0;

```

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20dcf6 No.12448

```

MainMenu:

Console.WriteLine("--");

Console.WriteLine("Main Menu");

Console.WriteLine("--");

Console.WriteLine("For (-f,1) and (e,1) offset a * b = c search, enter 1");

Console.WriteLine("For n2 - n1 = 0 Search Loop, enter 2 ");

Console.WriteLine("New c value, enter 3 ");

int menu = int.Parse(Console.ReadLine());

if (menu == 1)

{

goto cSearch;

}

if (menu == 2)

{

goto Loop;

}

else if (menu == 3)

{

goto Top;

}

else

{

goto MainMenu;

}

Console.WriteLine("");

cSearch:

BigInteger aTemp = GetA(e, d, xHigh_n1);

BigInteger n1Temp = 2 * GetN1(e, d, xHigh_n1);

BigInteger bTemp = GetB(e, d, xLow_n2);

BigInteger n2Temp = 2 * GetN2(e, d, xLow_n2);

BigInteger cTemp = aTemp * bTemp;

BigInteger nDistance = (xLow_n2 - xHigh_n1);

if (cTemp < c)

{

Console.WriteLine("Actual c value = " + c);

Console.WriteLine("Current cTest = " + cTemp);

Console.WriteLine("");

Console.WriteLine("n Distance = " + nDistance);

Console.WriteLine("");

newXn1 = xHigh_n1 * 999999 / 1000000;

newXn2 = xLow_n2 * 1000001 / 1000000;

xHigh_n1 = newXn1;

xHigh_n2 = newXn2;

goto cSearch;

}

else if (cTemp >= c)

{

Console.WriteLine("cTemp > c! Get n2-n1 average…");

Console.ReadLine();

BigInteger n1n2Average = (n1Temp + n2Temp) / 2;

BigInteger Ratio_n2n1 = n2Temp / n1Temp;

BigInteger RatioMods_n2n1 = n2Temp % n1Temp;

BigInteger n2MinusOneHalfOfRatioMods = n1n2Average- (RatioMods_n2n1 / 2);

Console.WriteLine("n1 = " + n1Temp);

Console.WriteLine("n2 = " + n2Temp);

Console.WriteLine("n1n2 Average = " + n1n2Average);

Console.WriteLine("");

Console.WriteLine("n2/n1 ratio = " + Ratio_n2n1);

Console.WriteLine("n2/n1 ratio mods = " + RatioMods_n2n1);

Console.WriteLine("");

Console.WriteLine("n1n2 average minus half of the mods = " + n2MinusOneHalfOfRatioMods);

Console.WriteLine("goto Check Solution…");

Console.ReadLine();

tempN2 = n2MinusOneHalfOfRatioMods;

goto CheckSolution;

}

CheckSolution:

Console.WriteLine("----");

Console.WriteLine("Check Solution");

Console.WriteLine("----");

//Console.ReadLine();

BigInteger n2 = tempN2;

BigInteger x = SqrtByDualRootsMethod((d + n2) * (d + n2) - c) - n2;

BigInteger a = d - x;

BigInteger b = c / a;

BigInteger cTest = a * b;

if (cTest == c)

{

Console.WriteLine("Congratultions! You Have Solved Your c Value! ");

Console.WriteLine("a = " + a);

Console.WriteLine("b = " + b);

Console.WriteLine("n = " + n2);

Console.ReadLine();

goto Top;

```

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20dcf6 No.12449

```

//PMA and JAN's Dual Root Method

private static BigInteger SqrtByDualRootsMethod(BigInteger n)

{

if (n == 0) { return 0; }

if (n < 1) { throw new ArithmeticException("NaN"); }

int bitLength = Convert.ToInt32(Math.Ceiling(BigInteger.Log(n + 1, 2)));

BigInteger root = BigInteger.One << (bitLength / 2);

for (; ; )

{

BigInteger root2 = n / root;

if (root == root2) { return root; }

// we always want root2 > root

if (root > root2)

{

BigInteger temp = root2;

root2 = root;

root = temp;

}

// one apart

if ((root2 - root) == 1)

{

return root;

}

root += (root2 - root) / 2;

}

}

private static BigInteger GetA(BigInteger e, BigInteger d, BigInteger x)

{

return (((x * x + e) / 2) - (((x * x + e) / 2) + x - d));

}

private static BigInteger GetB(BigInteger e, BigInteger d, BigInteger x)

{

return (((((x * x + e) / 2))) - ((((x - 2) * (x - 2) + e) / 2) + (x - 2) - d));

}

private static BigInteger GetN1(BigInteger e, BigInteger d, BigInteger x)

{

return ((x * x + e) / 2) / (((x * x + e) / 2) - (((x * x + e) / 2) + x - d));

}

private static BigInteger GetN2(BigInteger e, BigInteger d, BigInteger x)

{

return ((x * x + e) / 2) / (((((x * x + e) / 2))) - ((((x - 2) * (x - 2) + e) / 2) + (x - 2) - d));

}

}

}

```

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20dcf6 No.12451

Here's the last part of >>12448, the else portion.

```

else

{

Console.WriteLine("Sorry, You Have Not Solved Your c Value.");

Console.WriteLine("c = ");

Console.WriteLine(c);

Console.WriteLine("c Test = ");

Console.WriteLine(cTest);

Console.WriteLine("a = " + a);

Console.WriteLine("b = " + b);

Console.WriteLine("");

Console.WriteLine("Searching…");

Console.ReadLine();

goto Iterate;

}

Iterate:

if (cTest < c)

{

tempN2 = n2 / 2;

goto CheckSolution;

}

else if (cTest > c)

{

tempN2 = n2 * 2;

goto CheckSolution;

}

else if (cTest == c)

{

Console.WriteLine("Solved! n = " + n2);

Console.ReadLine();

goto MainMenu;

}

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20dcf6 No.12452

Any anon can run this C# code in MS Visual Studio.

You'll need to also download .Net

Copypasta and run.

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20dcf6 No.12453

This is the distilled wisdom of this board.

6+ years or research into a few powerful formulas.

e and (-f)

n and (n-1)

(an) and a(n-1)

(bn) and b(n-1)

n1

n2

a

b

all can be found with the Offset.

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20dcf6 No.12454

private static BigInteger GetA(BigInteger e, BigInteger d, BigInteger x)

{

return (((x * x + e) / 2) - (((x * x + e) / 2) + x - d));

}

private static BigInteger GetB(BigInteger e, BigInteger d, BigInteger x)

{

return (((((x * x + e) / 2))) - ((((x - 2) * (x - 2) + e) / 2) + (x - 2) - d));

}

private static BigInteger GetN1(BigInteger e, BigInteger d, BigInteger x)

{

return ((x * x + e) / 2) / (((x * x + e) / 2) - (((x * x + e) / 2) + x - d));

}

private static BigInteger GetN2(BigInteger e, BigInteger d, BigInteger x)

{

return ((x * x + e) / 2) / (((((x * x + e) / 2))) - ((((x - 2) * (x - 2) + e) / 2) + (x - 2) - d));

}

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680766 No.12455

File: 98ee1e6b2087d34⋯.png (2.43 MB,3742x1516,1871:758,Screenshot_2024_01_24_01.png)

Hello Anons, checking in to provide an update.

I modified my code and ran R260 again, and I got a bit closer, but no solution yet.

I think the anon who posted recently about how to estimate n was actually saying focus on c.

Pretty sure that was Chris.

"the actual value of n would be way smaller" lol.

Also my intuition keeps going back to "ChrisRootODavid" for some reason.

Also, a very good starting place would be to find the a[t] value where GetA = d using the formulas, by solving it backwards.

Likewise for the a[t] values where GetB = d

Some thoughts…

The END

E - Find e and (-f)

N - Use the offset to find (n) and (n-1), giving us the ability to solve for a, b, and n

D - Use D to get approximate x values??

PMA pointed out to me via DM that Jan correctly posted about this idea.

Since Jan was a valued member of our community for some time before he was caught impersonating Chris and lying, I will post his work.

/// <summary>

/// localized from getElementBelowRoot method.

///===

/// Get closest element with d value below input d in (e, n)

/// The element above it can be calculated to give the two elements whose d values d is between.

/// When called with (e,1,d) corresponds to sqrt(f) hint.

/// x = sqrt(2d + n - e) - 1, so when n is 1 and d is d, it’s sqrting f

/// When called with (-f,1,d) corresponds to sqrt(2f+e).

/// When called with (e,1,c)

/// x = sqrt(2c + 1 - e) - 1

/// When called with (e,e,d) (need to verify)

/// x = sqrt(2d + e - e)

/// sqrt(2d) = (2d+e+1)/2

/// </summary>

public override TheEndRecord GetBelowRoot( BigInteger e, BigInteger n, BigInteger d ) {

return GetBelowRoot( e, n, d, true );

}

public TheEndRecord GetBelowRoot( BigInteger e, BigInteger n, BigInteger d, bool validate = true ) {

BigInteger c = d * d + e;

BigInteger i = d + n;

BigInteger i2 = i * i;

BigInteger j2 = i2 - c;

BigInteger x = Lib.Sqrt( j2 ) - n;

// e and x parity must match

if ( (e & 1) != (x & 1) ) {

x -= 1;

}

return GetByEnx( e, n, x, validate );

}

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680766 No.12456

More Jan Code:

public override TheEndRecord GetByEnx( BigInteger e, BigInteger n, BigInteger x ) {

BigInteger a = ((x * x) + e) / (2 * n);

BigInteger d = a + x;

BigInteger b = a + 2 * (x + n);

return new TheEndRecord( e, n, d, x, a, b );

}

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680766 No.12457

File: 593edd142920c0a⋯.png (344.05 KB,2076x3003,692:1001,ApplejackForBaker.png)

Jan, I have posted your work to the board to honor your contributions.

I still have all the applejack memes saved.

It made me SAD that you were running game on the board.

As Christ commands, I forgive you.

Please be honest to everyone.

And thank you for your work here.

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d40073 No.12458

File: 8f026df6a3fa18a⋯.gif (15.13 KB,112x112,1:1,tenor.gif)

File: de78abd090fbdbf⋯.png (260.7 KB,1123x643,1123:643,qnn_pepe_rsa.png)

Hello anons.

After some thought, n2-n1 or a * b = c are finding the same x location, so they’re basically looking for the same thing. Chris clearly said that it’s lookup. Meaning a search that eliminates at least half of the search space each pass.

If we’re using the 10 x 10 grid, The key is to be able to pick the square with n2/n1 = 1, AND the lowest mod. So, a re-write of code to PROPERLY handle the mods for n2-n1 is probably my best use of working time.

The code for n2-n1 is blazing fast and finds a potential solution in about 1 loop per bit of c. The problem is that the mods are missing.

I’ll get to work.

I need to have two parts of the loop. One to get to n2/n1 = 1, and then the next part to handle the mods. I could also write it for a * b = c and it be searching for the same x value.

Yo Sheeit, would you please fire up the AQC, with the intention of thanks and gratitude for a completed solution? Jesus himself said "If two of you agree on earth concerning anything they ask, it will be done for them by my Father."

We are very close lads.

All our hard work is coming to fruition.

The blossom is on the tree.

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d40073 No.12459

File: 1fe6d7e56469b45⋯.png (2.69 MB,4430x2446,2215:1223,Screenshot_2024_01_27_01.png)

Here's R2048, crunched in <1.0 sec but inaccurate due to mods.

Please observe that cTest is halfway solved for a HUGE c value.

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d40073 No.12460

Alright lads, I know what I have to do. A major portion of my code has to be updated to n2/n1 instead of n2-n1.

This gives us the ability to search for n2/n1 = 1, with the reminder expressed as n2 mod n1. I have to re-write a bunch of code, but it should only take a day or two based on my current free time.

I'm literally working in my spare room office drinking whiskey neat tonight. Chores are complete, this is my time.

I am supremely confident that we will solve this.

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d40073 No.12461

File: da2402f59b93695⋯.jpg (851.74 KB,2048x1475,2048:1475,Church_Of_Pol.jpg)

File: 2d2f43021c38b37⋯.jpg (330.88 KB,1026x1205,1026:1205,IMG_1175.JPG)

File: 8ea713921b7bb0f⋯.png (283.03 KB,500x333,500:333,DJT_Antarctica.png)

File: 8ee53771191dc26⋯.png (333.24 KB,754x373,754:373,EstablishmentScared.png)

File: cb3bd772be158bf⋯.jpg (17.91 KB,456x446,228:223,PepeBathtub.jpg)

In fact, we already have solved it.

The Offset formulas are posted.

Now we are working on an adequate search process to narrow down the location where:

GetA * GetB = c

OR

Get N2 - GetN1 = 0

It's as simple as that. The mental battle is won, now we're cleaning up.

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d40073 No.12462

File: a7eb748fe69be16⋯.png (692.7 KB,518x735,74:105,Thread_Jesus.png)

File: f2677577ea12ff7⋯.png (1.38 MB,917x903,131:129,TrumpTales.png)

File: e230499a7b127fe⋯.mp4 (1.92 MB,720x404,180:101,SideOfBeefWatchTheToes.mp4)

File: 264e2204b0b9ce2⋯.jpeg (28.33 KB,474x474,1:1,download_1_.jpeg)

Post your best memes and screencaps from the entire VQC timeline.

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76c275 No.12464

Next thread once this one's full >>12463

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2bb455 No.12465

>>12457

I can't quite figure out what you mean. There's nothing for me to say, unless you're interested in learning sieve methods.

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fc66d2 No.12466

File: 5db46b0d205615f⋯.png (1.43 MB,1000x500,2:1,Prime_Rainbows.png)

File: 4e0e8ac07239a6d⋯.png (108.04 KB,1593x687,531:229,Screen_Shot_2017_12_08_at_….png)

File: 6e743127ba42843⋯.png (67.06 KB,742x318,7:3,Screen_Shot_2018_07_15_05.png)

Hello anons, I’ve been thinking on the Offset using a * b = c as a path to estimate n.

The problem I’ve been focused on this week is understanding is where to start with the x values for (an) and (bn).

I just found a really helpful shortcut using Phi.

Starting with d-1 which is our (na transform) x value, multiply (d-1) by both 0.618 and 1.618 to get the lower and upper x value starting points.

Try it yourselves.

For c6107 I got 47.58 and 124.58.

The correct answers are 47.0 and 119.0

Pretty cool!!

All we need is to get close enough to get a lock, so it seems the golden ratio may give us some help with our starting points.

We just plug in those values and run the GetA * GetB = cTest and see how close we are to actual c.

Of course I’ll code it and test with larger numbers shortly.

I’m hopeful that IRL will be mellow enough to make time tomorrow.

If Phi helps us accomplish the goal of starting our lookup with the correct balance and rough location between x values, great.

If not, that's fine too.

Very interesting that it’s tied to Fibonacci sequences.

Chris hinted many times about how the pattern grows.

https:/ /www.goldennumber.net/what-is-phi/

>>12464

Thank you AA!

>>12465

>sieve methods

Good to see you, and we'll unlock the Offset solution which allows us to lookup the answer.

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fc66d2 No.12467

File: d3affc044c464a2⋯.png (109.17 KB,1084x234,542:117,R100_knowns_ab_highlight.png)

File: 5f4856c6562af52⋯.png (821.83 KB,1394x1522,697:761,R100_Exploration.png)

File: 1cff160450a2ca8⋯.png (629.92 KB,1388x1596,347:399,Screenshot_2024_02_05_01.png)

File: ea207dbaf4b18f1⋯.png (44.44 KB,812x587,812:587,Starting_Formulas.png)

Hello anons, I'm writing new code and running tests.

As expected, Phi was helpful!

It didn't solve, but it seems to have helped get the starting proportions correct.

Movements from the new Phi starting positions end up much closer to solution values.

For any anons catching up:

I'm using the Offset equations to input x values, and then calc GetA * GetB = cTest.

Equations are here >>12454

I've been running some basic tests using R100 knowns.

From the starting xLowPhi and xHighPhi, i simply did (estimated n) * 2

The cool thing is that with some very simple movements (similar to the 2n left or right pattern) I'm in the ballpark for (prime a) and (prime b).

I haven't even written the code for adjusting the x values yet!

The key question I have at this moment, and will explore, is this:

How close do we need to get cTest to actualC to solve?

Also, can (a) and (b) be slightly off, yet still yield the correct n calculation?

Or one close enough to get a lock?

The formula Chris provided includes massive numbers and square roots.

My intuition says that there is an acceptable margin of error caused by the very large remainder of the square root.

In Faith, thank you God for the solution to this beautiful and elegant puzzle!

It is already solved when the time is right.

In Faith, we are in sync with the divine plan.

If not today, thanks for putting my restless brain to work on something enjoyable after work.

Thank you for your divine plan that brought all of us together.

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fc66d2 No.12468

There is a window of acceptable n values that will solve for x.

There are two sliding scales that the Offset allows us to view in every (e,1) and (-f,1) combo.

One is n

One is a

That is why every a[t] value is (an) in (e,1)

That is why every a[t] value is a(n-1) in (-f,1)

Using the Offset, we see the following:

From (na transform) towards a[1] we see decreasing n values.

From (na transform) towards a[1] we see increasing a values.

This is only possible due to the second calculation of c in (-f,1)

for example:

{-134,35,79,48,31,197} = 6107

{23,36,78,47,31,197} = 6107

e is (-f)

n is less by 1

d is greater by 1

x is greater by 1n is less by 1

a is the same

b is the same

The fact that a second factorization exists makes solving possible.

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fc66d2 No.12469

File: 9a4a05dc873bcbd⋯.png (10.53 KB,242x148,121:74,Screen_Shot_2023_09_18_01.png)

>That is why every (e,1) a[t] value is (an) in (e,1)

>That is why every (-f,1) a[t] value is a(n-1) in (-f,1)

That is why every a[t] value is ALSO a (bn) value in (e,1)

That is why every a[t] value is ALSO a b(n-1) or d[t-1] -d in (-f,1)

They all exist at all times together in the (e,1) and (-f,1) columns for a given c value.

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fc66d2 No.12470

File: 0c0655c20ca8f98⋯.jpg (42.53 KB,630x630,1:1,1291167_1_1967707212.jpg)

One c rules them all.

One c finds them.

One c solves them all.

And in the Light unwinds them.

Lol! I know Tolkien approves from the great cloud of witnesses.

Couldn't resist.

1* c is all we need.

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fc66d2 No.12471

The mystery undoes itself by being itself.

How very archetypical of you, c

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fc66d2 No.12472

The Hero With A Thousand Faces rises yet again to meet the challenge.

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8fde80 No.12473

>>12468

>From (na transform) towards a[1] we see decreasing n values.

>From (na transform) towards a[1] we see increasing a values.

The point(s) where they meet up as whole integers is where we find (an) (bn) a(n-1) b(n-1)

Those point(s) can be approximated / searched using the Offset.

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7b1d63 No.12474

>>12465

interested.

Are there any particular sieve methods that may be applicable to the grid?

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9b646d No.12475

File: ff91a2d6dbb0f91⋯.png (370.52 KB,1258x886,629:443,Screen_Shot_2024_02_11_03.png)

File: 7958fc3486ad68f⋯.png (128.81 KB,1243x283,1243:283,Screen_Shot_2024_02_11_01.png)

File: e27447343eb9e9e⋯.png (637.54 KB,780x762,130:127,Screen_Shot_2024_02_11_02.png)

Hello Anons, checking in.

I will have time to work on code tomorrow after work.

I've been thinking all week on how to code it properly.

I have a good working idea of how to ratchet the values closer and closer to c by adjusting x.

>>12474

>The largest such semiprime yet factored was RSA-250, an 829-bit number with 250 decimal digits, in February 2020.

>The total computation time was roughly 2700 core-years of computing using Intel Xeon Gold 6130 at 2.1 GHz.

>Like all recent factorization records, this factorization was completed with a highly optimized implementation of the general number field sieve run on hundreds of machines.

GNFS is considered state of the art, yet takes hundreds of machines

We can do better with the Offset formulas,

And we will.

Since it's tax season in the USA, here's some good advice for you if you're a citizen.

>Claim Zelenskyy as a dependent lol.

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9b646d No.12476

File: 3c54ebb534e4bef⋯.png (267.47 KB,977x716,977:716,Screen_Shot_2024_02_11_04.png)

>No algorithm has been published that can factor all integers in polynomial time, that is, that can factor a b-bit number n in time O(bk) for some constant k.

>Neither the existence nor non-existence of such algorithms has been proved, but it is generally suspected that they do not exist and hence that the problem is not in class P.

>The problem is clearly in class NP, but it is generally suspected that it is not NP-complete, though this has not been proven.

P=NP

This is what the Offset is able to do.

Sieve theory is a distraction.

Let's focus, anons.

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2bb455 No.12477

>>12475

That's because it has narrowed down the search space of RSA numbers from larger than the span of the universe to something that can be processed in a human lifetime. Pretty good achievemnt in my opinion.

>>12474

The grid is a language. We can speak in it or in the regular mathematical language of functions narrowed down to a single independent variable and a single dependent variable. The process of how it works is in fact just like the an actual sieve. Take the search space and cut out significant parts of it using factor bases. Factor bases let you construct candidates for the factorization by multiplying many small primes together on the RHS of the modular equation. The magic trick is when you solve the linear system to have every exponent of the primes be even. It makes a square on both sides of the modulo equation, which is equivalent to a difference of squares.

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1c2175 No.12478

>>12477

>That's because it has narrowed down the search space of RSA numbers from larger than the span of the universe to something that can be processed in a human lifetime.

>Pretty good achievemnt in my opinion.

True. And I have Faith based on Reason that an even better way is at hand.

Two side by side calculations in (e,1) and (-f,1) allow us to calculate (a) and (n) for any a[t] location in the Grid.

>>12477

>The grid is a language.

>We can speak in it or in the regular mathematical language of functions narrowed down to a single independent variable and a single dependent variable.

>The process of how it works is in fact just like the an actual sieve.

>Take the search space and cut out significant parts of it using factor bases.

>Factor bases let you construct candidates for the factorization by multiplying many small primes together on the RHS of the modular equation.

>The magic trick is when you solve the linear system to have every exponent of the primes be even.

>It makes a square on both sides of the modulo equation, which is equivalent to a difference of squares.

>modulo equation

Yes, That's the key.

from a[1] to a(na transform)

(a) moves from large to small

(n) moves from small to large

They overlap at (an) in (e,1) and a(n-1) in (-f,1)

(a) / (n)

(n) / (a)

a' / a"

b' / b"

My deep intuition says that there is a way to use the modulo of these to find a decreasing modulo that leads towards (an) or (bn).

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1c2175 No.12479

>>12477

Chris / Jan, solid post.

You are absolutely correct, the Grid acts as a sieve.

The Offset acts as an even greater sieve.

It allows us to calculate (a) and (n) for each (an) a[t] value.

>Take the search space and cut out significant parts of it using factor bases.

Using modulo we could rule out all non-integer answers, or even realize when we're approaching the correct whole integer answer.

>a new modulo based method of solution.

>Factor bases let you construct candidates for the factorization by multiplying many small primes together on the RHS of the modular equation.

Yes, multiplying (-f,1) a[t] * (e,1) a[t] is the essence of the Offset. I think this accomplishes what you're talking about.

>The magic trick is when you solve the linear system to have every exponent of the primes be even.

>It makes a square on both sides of the modulo equation, which is equivalent to a difference of squares.

You're saying use what we already have to find the Offset equation where modulo = 0.

Mission accepted.

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1c2175 No.12480

File: 9a4a05dc873bcbd⋯.png (10.53 KB,242x148,121:74,Screen_Shot_2023_09_18_01.png)

>>12479

>The Offset acts as an even greater sieve.

>It allows us to calculate (a) and (n) for each (an) a[t] value.

It also (of course) allows us to calculate b(n-1) and (bn).

They exist in every pair of a[t] and a[t-1]

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1c2175 No.12481

Every (an) is also a (bn) in (e,1).

Every a(n-1) has a b(n-1) which is -1[t] above in (-f,1)

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1c2175 No.12485

Updated the Grid Patterns thread.

>>12482

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1c2175 No.12488

File: 9d3b361432d1934⋯.png (169.37 KB,1460x936,365:234,Persistence.png)

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1c2175 No.12489

File: 52084abb998ca20⋯.png (228.33 KB,1790x1414,895:707,Persistence_2.png)

We Will Persist Until We Succeed, Anons.

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1c2175 No.12490

File: 6b0d649c66d7433⋯.jpg (53.14 KB,297x640,297:640,success_office_poster.jpg)

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1c2175 No.12491

File: 7830dc0516dd223⋯.png (760.35 KB,2006x1618,1003:809,Fermat_s_Last_Theorem.png)

File: 08e03e2ab4247ae⋯.png (158.11 KB,2306x240,1153:120,Old_Crumbs_1.png)

File: 7142a411b5f3d98⋯.png (535.74 KB,2360x630,236:63,Old_Cumbs_2.png)

Hey White Hats.

Just want to say thanks for protecting our research here.

Doing some digging on old crumbs.

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1c2175 No.12492

File: 73f67f4df2b3d20⋯.png (296.76 KB,1956x1038,326:173,Fermat_s_theorem.png)

Fermat's difference of squares is laid out here.

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7c523d No.12496

>>12477

>a square on both sides of the modulo equation, which is equivalent to a difference of squares.

This is a reference to Dixon's factorization method, discussed in RSA #17 posts >>10466, >>10468, >>10469

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a315ee No.12497

File: 793b73da1a223fa⋯.png (483.67 KB,2550x3300,17:22,c6107_n2_n1_exploration.png)

Hello anons.

Here's the idea clearly mapped out in sheet form.

"once you c i[t] you can't un c i[t]"

We can approximate c by starting at the (na transform) and using the offset for find test (a) and (b) values to find cTest.

Easier to see than explain with words.

the distance between aTest and bTest approximates n

precise n can be found via logical search from that point.

This is how we use the Offset to solve.

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a172b7 No.12499

File: eb87776b72f00a3⋯.png (128.21 KB,1348x396,337:99,Screen_Shot_2024_04_21_01.png)

Anyone paying attention to this board now has everything needed to solve the problem we set out to solve as a team on 11/30/2017.

As RSA #19 comes to a close, here are my thoughts as the last remaining active idea contributor.

The Offset has been clearly explored and laid out for all to see.

The fact that (-f,1) and (e,1) both contain valid factorizations for any given semiprime c makes a lookup solution possible, as Chris promised.

In row 1, we know that every a[t] value represents a * n or (an).

The two columns allow us to split any a[t] location value into (a) and (n)

We then use simple algebra to solve for (a) and (n).

The offset also exists for (bn).

Any a[t] is also b[t] when we apply the correct formula.

When we derive any (a) value , we can easily calculate b using c/a =b

Then we use algebra to get the x value for (b)

Since (n) is equal for (an) and (bn) we also have an additional check, with n1 being related to the a[t] and n2 being related to b[t]

The problem is solved in the realm of ideas.

Now let's write the code.

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92a96a No.12500

File: 51517c961b62655⋯.png (1.33 MB,1200x1062,200:177,Screenshot_2024_02_26_at_8….png)

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File: 8eb32ad0aae0ad7⋯.jpeg (110.81 KB,954x870,159:145,purple_toxicity.jpeg)

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File: d9839e0435025ac⋯.png (287.81 KB,516x389,516:389,Screen_Shot_2023_01_02.png)

To finish out this RSA #19 bread, I found a very helpful simplification for the offset formulas.

Chris seemed to prefer d[t]-d, however I prefer this way since it's very simple and clear.

Here it is.

For a(n-1) and (an) the offset is as follows:

For (an) we know (xx +e) / 2 = (an) for any given i[t]

For a(n-1) the easiest way is to say ((x+1) ^ 2 - f) / 2 = a(n-1)

For (bn) we also know (xx + e) / 2 = (bn) for any given i[t]

For b(n-1) the easiest way is to say ((x-1) ^ 2 - f) / 2 = b(n-1)

Less chance of math mistakes, and easier to follow.

This also makes solving our overall problem easier.

If we have a given (a), we can now solve for (b) within the parameters of c = a * b using the offset.

I used some cool algebra software to help, long simplification process.

Here's the formula for b:

(2x + 2d) / 2 = b

If we know b, we can solve for x with the following:

(2b - 2d) / 2 = x

for example, c6107 b = 197

(394 - 156) / 2 = 119 = x

Now we also have a (b) value.

Because we can also calculate n1 and n2, every paring along the c = a * b pathway can be evaluated.

“The most useful information constrains values as c increases”

So the solution path is simply to pick an x value like x = (d-1)/2 and get the a value.

Then, we use c/a = b to find b

Then, we use the formula to get the x value for b

Then, we calculate a * b = cTest along with n1 and n2

Then, we move like the Grid movements until the solution is found.

We as a team built this.

We could not have arrived at this point without our Band of Anons.

A very special thanks to Tops, PMA, and AA for putting up with me on a couple drunk nights where I was grieving my divorce and was a complete chaotic mess. Thanks for forgiving me.

Without AA and PMA helping me learn to code, I wouldn't still be posting. Thank you guys.

Shoutout to Tops, our merry muse who always finds a way to encourage and keep spirits high. You rock my man.

Shout out to everyone who's been here helping over the years.

Special shout out to MM Mr Melange, love you man.

5D Anon, Teach, Saga, GraduateAnon, PrimeAnon, Michel (still Jan), and Jan.

Thanks everyone.

If you understand why I'm still posting then thank you.

If you Faggots can't understand these ideas above, you deserve to be made fun of.

The solution is solved.

Grab your balls and help me code this shit.

If you're not a FedBoi, you should be helping out.

And of course, I have to honor our traditions and post some fav memes to close this bread out.

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