fd3a9d No.10193 [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. This pattern can be understood using only the basic operations of arithmetic and sqrt.
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.
Sieve
A sieve is an algorithm for factoring integers arising out of number theory in the 1900s, most notably from Carl Pomerance.
Smoothness
A number is described as smooth if it is composed of small prime factors, opposed to large ones.
Sqrt Tree
The sqrt tree is a structure created by recursively taking d and e starting with c, creating a tree with several to many branches. (Changed from remainder to sqrt because there is more than one tree).
Triangle Tree
The triangle tree is a similar structure but uses the T-1 function instead of sqrt.
Functions
na transform
A movement from a record in (e, n) into (e,1) where n becomes 1 and a becomes a times the n of the (e,n) record. It has also been used to refer to moving n*a records down in a cell.
Pell(n)
The nth Pell number function. Can be calculated recursively or formulaically using the square root of 2.
ST(n)
The nth square triangular number. A square triangular number is a number that is both a square and a triangle number. The Pell function is used to calculate square triangular numbers.
T(n)
The triangle number function.
Example: T(7) = the 7th triangle number
T-1(n), inverse T
The inverse triangle number function.
Example: T(7th triangle number) = 7
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.
h was a variable used to quantify families of numbers. The way to calculate it is currently unknown.
When capitalized versions of the variables are used in comparison to lowercase versions, the capitalized versions refer to the variable's value for the trivial record, and the lowercase variables refer to the values for the nontrivial record. Sometimes these trivial uppercase variables are referred to with "Big" preceding the letter.
{e:N:d:X:A:B} (e, N, T) is the trivial element.
{e:n:d:x:a:b} (e, n, t) in this context is the nontrivial element, the prime factorization of c.
Since under this rule D and E would refer to the same variable as d and e and thus be redundant, D and E have been defined as references to elements.
D and D2 refer to the two elements whose d[t] values d from c is between in row one.
Since N and n are references to specific values, R is used to refer to an element pair whose a[t] values are the estimates of n provided by D and D2.
E refers to any element whose values are a starting estimate of the factorization of c (ie i0, j0, n0, x0, etc).
____________________________
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fd3a9d No.10194
Rules
Each cell of the grid (e,n) has infinite or zero elements.
Each cell with one value has infinite elements, since every element can make a new one.
By induction, a cell only needs one value to make infinite values, that's part of the power of this and is why it is a virtual quantum computer as a whole.
The t variable is what allows you to traverse these infinite elements.
If a grid cell has elements, all elements are constructable from a finite set of root elements.
Thus, only three variables are required to identify an element: e, n and t.
All products of odd numbers and all products of pairs of even numbers are the difference of two squares. In other words, all numbers that are {0, 1, or 3} mod 4 are the difference of two squares.
(1, 1)
The cell (1, 1) contains as values for a and b the values of two consecutive squares added together.
The values of a and b in it are related to the length of the longest side in right angled triangles.
They are also also related to the Pell function.
The values here can be used to create the entire grid.
The values here determine the values of the rows to the left and right, which determine the values of the whole column.
c
For a c at (e,n), there exists (-f, n-1). The difference between e and -f is 2d+1, making columns e and -f unique as a pair to c.
Columns
Each cell at n=1 contains the roots of products in the column.
If c is a prime number, it will appear in one column exactly once.
If c is the product of two prime numbers that do not equal eachother, c will appear in two cells of one column.
All products (integers) c that are the sum of two squares appear (only) in columns where e=0,1,4,9,16,25…
All factors in a column are factors of the elements of the first cell in their column.
All Fermat primes (except) 3 appear in column one.
Row 1
If a number at position t has a factor s, then s is a factor at (t+s), (t+2s) and so on for a at (e,1). Also, if a number at position t has a factor s at (e+1), then s is a factor at (s+1-t), (2s+1-t), etc for a at (e,1).
If s is a factor of a[t], then (e, s) exists, meaning all divisors of a[t] in row one exist in the column as a row.
n*a and n*b for any c can be found n places apart in the cell at (e,1).
The cells in row one where n=1 have a relationship with the cells 2n to the right and 2n to the left.
Each "a" from the first row equals na because xx+e = 2na and na is half of that.
Each element in a cell can be generated by moving up (t-1 = x-2) or down (t+1 = x+2). Other variables can be generated from x.
For more of these rules, see the grid patterns thread.
Useful Equations and Notation
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
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fd3a9d No.10195
Code
C#
BigInteger libraries and test code —— pastebin.com/fiKJ6nLv
Recursive remainder tree generator —— pastebin.com/vF8DZ0X8
VQC generator —— pastebin.com/XFtcAcrz
VQC generator w/ Bitmap —— pastebin.com/hMTtJF6E
Java
Real-time VQC —— anonfile.com/TeH6q3d8bd/VQCGUI_v2.7z
Recursive remainder tree generator —— pastebin.com/QZSnmQPS
Recursive triangle tree generator —— pastebin.com/mg736eUG
VQC generator —— pastebin.com/2MPYrJVe
Python
VQC generator —— pastebin.com/NZkjtnZL
VQC generator w/ bitmap —— pastebin.com/wEAKaqBp
Factorization algorithms —— pastebin.com/fzFDCNBb
Static Java/C# class with all RSA numbers —— pastebin.com/XYFpsDWE
Miscellaneous code —— archive.fo/9r5bO
VQC codebase archive (not comprehensive yet) —— anonfile.com/L3yd6di0n6/archive_7z
Other Threads
Fermat's Last Theorem —— archive.fo/DWGyF
Grid Patterns —— archive.fo/fzNmV
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 —— web.archive.org/web/20190802191159/https://8ch.net/vqc/res/8567.html
RSA #16 —— web.archive.org/web/20190802191153/https://8ch.net/vqc/res/9114.html
Every hint map —— anonfile.com/U6M0w02fn2/maps_7z
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fd3a9d No.10196
Chris/VQC
It is pertinent that you read through the last two threads before posting any new clues.
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5be6c4 No.10197
I HEREBY BLESS THIS, THE 17TH, BREAD!
¡AMEME!
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125225 No.10198
>>10196
Agreed, in the meantime enjoy the following intermission!
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5be6c4 No.10199
www.skynews.com.au/details/_6115414651001
Conservative win means a January Brexit 'no question about it'
Good news, Nerds!
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5be6c4 No.10200
AAAAAH SHIT!
WE GOTS COMPETITION!
https://fossbytes.com/scientists-crack-largest-encryption-key-35-million-hrs-computing/
Scientists Crack Largest Encryption Key After 35 Million Hrs Of Computing
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7ec836 No.10201
Quick question - If given {e, n}, what is the method/formula to determine if it is a valid cell? Is there a quick test? ty
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5fe960 No.10202
>>10201
As far as anyone has been able to tell so far, e and n don't give enough information by themselves to know if a cell is valid. Generally we've had to use brute force methods by checking t/x values up to a certain point (using xx+e=2na) and seeing if anything works (or something along those lines anyway).
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b3a4ef No.10203
HEY GUYS It's GAnon. I thought we were lost after the 8ch purge I couldn't access this site for a while (I thought it was .net/.org/.ch) I'M SO EXCITED!! Did VQC post anything new? Any new revelations?
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b3a4ef No.10204
>>10203
I will catch up over the weekend. I deleted my discord because I thought I had joined a honeypot and then they took 8ch down. I was so sad. I couldn't be more excited now! I love all of you guys
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5fe960 No.10205
>>10203
>>10204
Hi GA, long time no see. There are new VQC posts but rather than me telling you what to think you should probably just read through threads 15 and 16 yourself. At the moment it's just PMA, blank name field, Topol and I on Discord each day, with VA and Isee popping in once every couple weeks or so.
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c2be7d No.10206
>>10204
What’s up you faggot. Glad you’re back.
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6eef32 No.10207
Merry Christmas.
Over the next ten days we will go over patterns, talk about design and some key points from two books written by Donald Trump.
It will all start coming together.
Sometimes small steps are more important and less destructive than large steps.
God Bless You All
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e357f8 No.10208
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3ec21d No.10209
>>10207
Sounds good senpai. Is pic related (when ‘n’ is prime) part of some puzzle piece?
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3ec21d No.10210
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000000 No.10211
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bc0573 No.10212
>>10207
Please read the last two threads before you do that.
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5be6c4 No.10213
>>10207
And theeeeeeeeeeeeen?
While we wait, have a k-tuple conjecture!
http://mathworld.wolfram.com/k-TupleConjecture.html
Cuz muh constellations. (7 Sisters, anyone?!)
https://en.wikipedia.org/wiki/Prime_k-tuple
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826511 No.10214
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3b3d23 No.10215
>>>/qresearch/7638256
anon posts popcorn socks. UID is a prime.
>123113
Took it as a sign to pop in and say hello to you faggots!
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96b1b5 No.10216
>>10212
Remember the video?
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96b1b5 No.10217
>>10216
A rip for posterities sake…
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bc0573 No.10218
>>10216
Yeah I do. What does it have to do with my post?
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Post last edited at
dcb793 No.10219
>>10214
What's the deal with that gif? There appears to be extra detail in n=0 and n=1, and the colour coding is a bit strange too.
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d32c8a No.10221
>>10219
>>10220
The color coding is always strange, thought you'd recognize it by now
>>10109
>>>What is the best way to display this?
GIF is a first attempt at displaying only the extra information, with some interesting results - appears to highlight the families
>>10110
>>10111
>>10112
Based on this code, with some tweaks and extended to -f. Difference between this grid and the original one gives a lot of insight
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5be6c4 No.10222
>>10207
Half way…
And theeeeeeeen?
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4f02a5 No.10223
>>10221
>Difference between this grid and the original one gives a lot of insight
Looked at newer code posted near end of #16, but didn't get this piece working in c-code:
while (d1 > 0)
{
string end = string.Format("{0}:{1}:{2}:{3}:{4}:{5}:{6}", e1, n, d1, dpn, x, a, b);
if (!TheEnd.Keys.Contains(e1)) TheEnd[e1] = new Dictionary<int, List<string>>();
if (!TheEnd[e1].Keys.Contains(n)) TheEnd[e1][n] = new List<string>();
TheEnd[e1][n].Add(end);
e1 = e1 + d1 + d1 + 1;
d1–;
}
Noted the difference at the start, in particular:
int c = (i*i) - (j*j);
If we make that int c = (i*i) + (j*j);
and keep the gap at 1-unit, then it produces the series provided, to use as our multipliers: 5,13,41,61,etc;
#A027862 Primes of the form n^2 + (n+1)^2.
A027862=[13, 41, 61, 113, 181, 313, 421, 613, 761, 1013, 1201, 1301, 1741, 1861, 2113, 2381, 2521, 3121, 3613, 4513, 5101, 7321, 8581, 9661, 9941, 10513, 12641, 13613, 14281, 14621, 15313, 16381, 19013, 19801, 20201, 21013, 21841, 23981, 24421, 26681]
where a=1:
for j = 0:n
i = j+a
q = i*i+j*j
d = (floor(sqrt(q)))
e = q - (d * d)
n = i-d
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4f02a5 No.10224
Next, looked at e for n=1 and each respective (f). Noted that the t-vals really jump, and the cells aren't a mirror. Here are some examples:
{(t) e:n:d | x:a:b} = c | i:j(i:j) | gcdiv=
First (5) (t)'s for e=1, 2, 3, 4:
e: t(1): {1:1:2 | 1:1:5} = 5 | i:j(3:2) | gcd=1
f: t(1): {-4:0:3 | 2:1:5} = 5 | i:j(3:2) | gcd=1
e: t(2): {1:1:8 | 3:5:13} = 65 | i:j(9:4) | gcd=1
f: t(1): {-16:0:9 | 4:5:13} = 65 | i:j(9:4) | gcd=1
e: t(3): {1:1:18 | 5:13:25} = 325 | i:j(19:6) | gcd=1
f: t(1): {-36:0:19 | 6:13:25} = 325 | i:j(19:6) | gcd=1
e: t(4): {1:1:32 | 7:25:41} = 1025 | i:j(33:8) | gcd=1
f: t(1): {-64:0:33 | 8:25:41} = 1025 | i:j(33:8) | gcd=1
e: t(5): {1:1:50 | 9:41:61} = 2501 | i:j(51:10) | gcd=1
f: t(1): {-100:0:51 | 10:41:61} = 2501 | i:j(51:10) | gcd=1
e: t(1): {2:1:1 | 0:1:3} = 3 | i:j(2:1) | gcd=1
f: t(1): {-1:0:2 | 1:1:3} = 3 | i:j(2:1) | gcd=1
e: t(2): {2:1:5 | 2:3:9} = 27 | i:j(6:3) | gcd=3
f: t(2): {-9:0:6 | 3:3:9} = 27 | i:j(6:3) | gcd=3
e: t(3): {2:1:13 | 4:9:19} = 171 | i:j(14:5) | gcd=1
f: t(2): {-25:0:14 | 5:9:19} = 171 | i:j(14:5) | gcd=1
e: t(4): {2:1:25 | 6:19:33} = 627 | i:j(26:7) | gcd=1
f: t(2): {-49:0:26 | 7:19:33} = 627 | i:j(26:7) | gcd=1
e: t(5): {2:1:41 | 8:33:51} = 1683 | i:j(42:9) | gcd=3
f: t(2): {-81:0:42 | 9:33:51} = 1683 | i:j(42:9) | gcd=3
e: t(1): {3:1:3 | 1:2:6} = 12 | i:j(4:2) | gcd=2
f: t(2): {-4:0:4 | 2:2:6} = 12 | i:j(4:2) | gcd=2
e: t(2): {3:1:9 | 3:6:14} = 84 | i:j(10:4) | gcd=2
f: t(2): {-16:0:10 | 4:6:14} = 84 | i:j(10:4) | gcd=2
e: t(3): {3:1:19 | 5:14:26} = 364 | i:j(20:6) | gcd=2
f: t(2): {-36:0:20 | 6:14:26} = 364 | i:j(20:6) | gcd=2
e: t(4): {3:1:33 | 7:26:42} = 1092 | i:j(34:8) | gcd=2
f: t(2): {-64:0:34 | 8:26:42} = 1092 | i:j(34:8) | gcd=2
e: t(5): {3:1:51 | 9:42:62} = 2604 | i:j(52:10) | gcd=2
f: t(2): {-100:0:52 | 10:42:62} = 2604 | i:j(52:10) | gcd=2
e: t(1): {4:1:2 | 0:2:4} = 8 | i:j(3:1) | gcd=1
f: t(2): {-1:0:3 | 1:2:4} = 8 | i:j(3:1) | gcd=1
e: t(2): {4:1:6 | 2:4:10} = 40 | i:j(7:3) | gcd=1
f: t(3): {-9:0:7 | 3:4:10} = 40 | i:j(7:3) | gcd=1
e: t(3): {4:1:14 | 4:10:20} = 200 | i:j(15:5) | gcd=5
f: t(3): {-25:0:15 | 5:10:20} = 200 | i:j(15:5) | gcd=5
e: t(4): {4:1:26 | 6:20:34} = 680 | i:j(27:7) | gcd=1
f: t(3): {-49:0:27 | 7:20:34} = 680 | i:j(27:7) | gcd=1
e: t(5): {4:1:42 | 8:34:52} = 1768 | i:j(43:9) | gcd=1
f: t(3): {-81:0:43 | 9:34:52} = 1768 | i:j(43:9) | gcd=1
Rule for the (t)f:
if e is odd: tf = (e + 1) / 2
if e is even:
if t == 1
tf = e / 2
else
tf = (e / 2) + 1
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000000 No.10225
Recap assuming odd c:
c = ab (mod 4)
if a = b (mod 4), c = 3 (mod 4)
if a /= b (mod 4), c = 1 (mod 4)
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bc0573 No.10226
>>10225
Thanks, I went to sleep after you posted that so I just put some screenshots together for this now. (I can put the whole reply chain together if anybody wants; this is just the important parts)
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ba12b0 No.10227
>>10225
Should be:
if a = b (mod 4), c = 1 (mod 4)
if a /= b (mod 4), c = 3 (mod 4)
Sample semi-primes attached.
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5be6c4 No.10228
>>10207
Happy New Year/Decade, everyone!
Even Chris! Wherever you are.
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c2f520 No.10229
>>10201
Yes, we can base this on the relation that xx + e = 2na. This means, in order to determine if n is a valid cell in e we can compute the Legendre Symbol for it. However, there is a caveat which means it also depends on the binary of the prime.
If n is 2, then it is in e if e = { 0, 3 } mod 4.
Assuming n is a prime:
For primes ending in 01 in binary, if e is a quadratic residue of n, then (e, n) is a valid cell.
For primes ending in 11 in binary, if e is NOT a quadratic residue of n, then (e, n) is a valid cell.
If n is not a prime, we need to factorize n and then compute the legendre symbol for each factor. If all factors is in e, then n exists in e (as n is closed under multiplication).
>>10207
Welcome back, although I think you're already behind schedule.
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5be6c4 No.10231
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5be6c4 No.10232
Anyone have any ideas floating around their heads?
Any questions that would be nice if someone answered?
Any crazy "there's no way it would work, but what if…"?
Mathematememeticals?
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5be6c4 No.10233
Maybe let's go old school.
What has been happening with Inner Earth stuff, lately?
Not just the DUMBs being taken out and covered as "earthquakes", I mean the deeper stuff.
Beyond that, how many ancient underground cities, especially in the hot-hot regions, connected to much deeper cavern systems?
I could see those being heavily guarded from both sides.
Beyond that… considering that pyramids are all over the earth's surface, how many of them were related to sites known to "go deep"?
Also, this:
https://en.wikipedia.org/wiki/Richard_Sharpe_Shaver
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ab1ddc No.10234
>>10233
love me some inner earth
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ab1ddc No.10235
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ab1ddc No.10236
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ab1ddc No.10237
>>10233
>>10233
ANtarctica is the only reason I hang out here anyway.
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fc6f52 No.10238
>>10232
Assuming any not-Chris clue people are lurking and we don't have to fish them out on /qresearch/, it might be nice to know what their perspective on the broader issues surrounding this are (how far away we are from a solution, whether or not we're waiting for a global event before we can get this done, the most productive steps we could be taking right now, etc). That's all stuff we only ever had vague answers from Chris about, so maybe they would all have something else to say.
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ab1ddc No.10239
My guess is it is …possible… to build this thing. Then again it is possible to have free-energy with ZPE as well as electrogravitic space ships. We are third/4th dimentional beings dealing with 5th dimentional tech. What I mean is that we are still more-or-less the slaves of time.
If you make time into an infinity symbol in your calculations then all of a sudden you dont have to worry about how long it takes to do that calculation because you have infinite time. It all collapses down to algebra and can be done instantly.
This is the 5th dimention. I think that this problem is the 'addition and subtraction' of the fifth dimention. To us it is a mind-bending difficult problem but to a being at that level it is simple and obvious. Do I think "Chris" is a being at this level? pffft no.
I think Chris is privy to some info and is waving it around like the very first caveman to ever find a trick to creating fire by friction between a stick, a bow and a block of wood. The power and influence that such a simple invention would allow would literally change civilization! Those who have it… live those who dont… die.
Alternatively this whole thing is fake. I don't see that really due to the complexity and long-term planning and feasability of the whole thing. I think Chris does not have the whole thing figured out… He has the drill and the bow and the blocks but can't figure out the string or whatever. Maybe he saw it in some classified program. Maybe he saw someone use it but hasn't managed to recreate it himself. He is here trying to get yall to fill in the gaps. When he exposed his trip-code a while back I was pretty sure we were in that situation but nothing happened with crypto… then he came limping back.
Seems like a farming operation to me with a good background story of the alcoholic mathematician trying to give it away… He cant give it away because he doesnt have it all either. He is hoping you can nail it and not really KNOW you nailed it and he can run off with it.
This is actually a famous math problem…
https://en.wikipedia.org/wiki/P_versus_NP_problem
http://news.mit.edu/2009/explainer-pnp
Its not like the problem itself is some secret. Hell, for all we know this guy is using the work here to get a PHD dissertation with some fresh work that can't be claimed. All these things are possibilities and all of them are probably more likely than the story we have been told here.
Have you ever searched out academic literature (uuugh I know it would suck) to see if you can find work from this board in a published academic journal or other similar masters/PHD level work? I dont know how to do that efficiently but if one did find it it could answer what is happening in this room.
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ab1ddc No.10240
This one still, after all this, captivates my mind… I don't give a fuck if it turns out to all be fake and they make a documentary about how gullible we all are this image opened my mind to so many things. Honestly it was a major part of my deprogramming. It showed me that there are possibilities that are VASTLY different than what I have been taught and that it is noble and positive and fulfulling to chase those possibilities to whatever end they may take us because it is not the destination that matters but the journey! >>10238
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5be6c4 No.10241
It's always fun when I come up in the open waters and people think I'm a "blast from the past".
If only they knew… kek
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a1f6c9 No.10243
Could anyone tell me what this number sequence is? I know it's related to prime pi but I'm not sure how. https://oeis.org/A168543
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21a9fe No.10244
I went through all the past threads and looked for anything relevant to Riemann Zeta and imaginary numbers. I could put screenshots of the individual posts together if anyone would like, but here's a summary of everything I could find:
>we're meant to create a third dimension to the grid into the imaginary plane, I suppose a little bit like the Riemann Zeta graph
>c = -c, c = ai + bi
>the "non-trivial lookup" in our grid is named after the zeros from the Riemann Zeta function
>values of t that are derived from imaginary numbers can be thought of as orthogonal to the grid
>the error correction part of the grid stuff is meant to be the same as the error correction from the prime counting function somehow
>if a = b (mod 4), c = 1 (mod 4), if a != b (mod 4), c = 3 (mod 4), and this is somehow related to the prime counting function
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5be6c4 No.10245
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4f02a5 No.10246
>>10245
Given choices 1 & 2, would choose option 3, and lay down on the track in front of the trolley.
ty for the lesson tops.
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b13f6a No.10247
>>10244
Thinking about how the imaginary part of the grid would work. With the RZ graph, complex numbers take something that was one-dimensional and turn it into something two-dimensional, x being real numbers and y being imaginary numbers. We're meant to extend the graph into a third dimension based on imaginary numbers where c=-c and -c=di*di-e. Each c value would only have one imaginary equivalent, wouldn't it? Just ai*bi. So it wouldn't really be much of another dimension. It would just be a normal element and its imaginary version. Even then, what would the other dimension be? The regular 2D grid is indexed based on e and n. If we use ai and bi, I can't think of any way that they would introduce another dimension. It could be argued that t would make it three-dimensional, but then where is this imaginary plane supposed to go? I can see why nobody ever talked about this. It doesn't seem to make any sense. That said I never did complex numbers in high school so maybe I'm missing something.
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5be6c4 No.10248
>>10245
Option 4: Leave the Switch halfway and derail the trolley.
If it has enough momentum to keep going over an infinite number of people, then laying down only kills you first so that you don't have to feel guilty about it going down either path… but you would't stop it if you simply laid down. Gotta pop the trolley off that plane and out of those vectors.
>>10247
Hilbert? https://en.wikipedia.org/wiki/Hilbert_space
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4f02a5 No.10249
>>10248
>Option 4: Leave the Switch halfway and derail the trolley.
The lesson that keeps on giving. Thank you fren, very grateful.
Glad we didn't go down the depop path, or deep staters mixed in with the 'real folk' on track 2.
Speaking of lessons and Hilbert Space, read this most amazing bit from 2016, where DJT explains Quantum Computing in the afternoon of April 15 at Microsoft’s Station Q research center in Santa Barbara, where he purportedly said the following:
".. There’s no doubt the Chinese are stealing our quantum information like Ted Cruz is stealing my delegates. Well that’s all going to stop because we’re going to build a great, big, beautiful wall in Hilbert space, and we are going to get China to pay for it. Incidentally Hilbert had a hotel which is a total dump – and I know hotels better than anyone, quite honestly. They had an enormous problem with guests switching rooms all the time. It got to be so bad that half of them left and bought units at Mar-a-Lago.
… Folks, we need to wake up, before your computer starts speaking to you in Arabic. That’s also why we need the wall in Hilbert space, because without it – I’m sorry to have to tell you – America’s wave function is rapidly collapsing, and it’s taking our economy right down the toilet. …
Thank you all very much. I hope I’ve been coherent."
(full doc attached, sauce available upon request).
>>10247 aa, will try and take a closer look over the next week. ty for keeping on, anon!
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8803b5 No.10250
Timing.
For step 2.
Look at the increase from small primes to large primes.
What calculations do you make that grow at or below Big Oh log q, where log q is the natural log of the length of c in bits.
EVERYTHING in that domain IS the answer or IS equivalent.
Looking Glass uses the Mandelbrot Set.
You can displace by t or d in the past or a combination.
This was discussed near the start.
Part of the function input space is displacement… temporal or spatial.
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8803b5 No.10251
>>10247
There was a famous guy on a bridge.
What did they do they before Quaternions?
This is why I always put my fairy in you AA.
YOU ask the right questions.
Tops will inspire like a crazy muse.
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3350c0 No.10252
>>10251
>>10250
>This is why I always put my fairy in you AA. YOU ask the right questions.
Then why have you been ignoring me (and everyone else for that matter) for two months telling you to read through threads 15 and 16 and explain what the other clue people have been saying about you?
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5be6c4 No.10253
>>10251
Sanity isn't very amusing, to be fair.
And we're all mad here!
<;3=
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5be6c4 No.10254
>>10236
I wonder what they meant by "formally manage the region"…
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5be6c4 No.10255
>>10250
>Looking Glass uses the Mandelbrot Set.
Dooooo you mean Project Looking Glass?
If yes…
As a means of mathematically producing/visually traversing (potential) timelines?
Similar kind of motion/movement style?
How would the analog version of this work, though? Same way, just slower?
I guess not necessarily… it's just math.
How does what we're doing here relate to Project Looking Glass? Just the Mandelbrot and other vague similiarities? Really a lot? Not at all?
https://sites.google.com/site/fabstellar84/fractals/external-angles
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340b24 No.10256
>>10255
I'm pretty sure he's talking about one of those other extensions of virtual quantum computing (like the one that can tell if a video has been edited or whatever). He's talked about the Mandelbrot Set being relevant to one of those in the past (probably like two years ago).
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5be6c4 No.10257
>>10256
I dunnooooo… one of the concepts involved with Project Looking Glass is supposedly "sending data through time"…
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5be6c4 No.10259
Find where the kitty landed.
I'm bein' cheeky.
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5be6c4 No.10260
>>10259
Hopefully y'all's mood is, "I could go for some Don Juan Quixote action…".
(From the Mathologer vidja.)
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5be6c4 No.10261
YouTube embed. Click thumbnail to play. Disclaimer: this post and the subject matter and contents thereof - text, media, or otherwise - do not necessarily reflect the views of the 8kun administration.
18ff3a No.10262
>>10251
Maxwell's unedited, ORIGINAL equations?
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5be6c4 No.10263
YouTube embed. Click thumbnail to play. >>10262
Maxwell and Quaternions:
http://redshift.vif.com/JournalFiles/V12NO4PDF/V12N4ACE.pdf
Maxwell Equations
https://en.wikipedia.org/wiki/Maxwell%27s_equations
"“Maxwell’s” vector equations taught in university are actually Heaviside’s truncated equations, and are only a simplified version of what Maxwell originally wrote."
http://www.cheniere.org/references/maxwell.htm
Quaternions in general:
https://en.wikipedia.org/wiki/Quaternion
'''Quaternion Encryption Scheme" is so apparently so hardcore that most of what I can find about it is involved with academic/technical papers behind paywalls…
But here's this:
"Digital Fingerprinting Based on Quaternion Encryption Scheme for Gray-Tone Images"
https://www.il-pib.pl/czasopisma/JTIT/2014/2/3.pdf
And beyond that, check out the title on this badboy!
Quaternion Feistel Cipher with an Infinite Key Space Based on Quaternion Julia Sets
https://www.itl.waw.pl/czasopisma/JTIT/2015/4/15.pdf
Aaaaaand for funsies:
"Quaternions & the Mandelbrot set"
https://www.fractal.org/Bewustzijns-Besturings-Model/MSet/MSet/Quater.htm
Vidja:
"4D Quaternion Hypercomplex Mandelbrot Set"
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5be6c4 No.10264
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5be6c4 No.10265
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a4f80e No.10266
Have been looking for an alternate way to visualize e and f across various records.
First pic attached is for c6107 showing the non-trivial record (23,26,24) in an outline format.
Solid red and light blue lines are e and f around the d square in dark blue; a square is in green; x square in orange; na in yellow in the top left and bottom right. The x+n square is green into orange in the top right, while the entire area represents the d+n square.
The second picture, is an animation of c5891 showing it's non-trivial recorda across 8 grid coordinates in (e,n) and (-f,n) for +/- x.
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a4f80e No.10267
>>10266
Carrying that forward a bit.
The first animation is the (-38,13,-29) non-trivial for c5891, showing 20 records left and right with constant j.
And the second animation for c6405, shows the constant i movement towards x=0 related to >>10110.
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e255d3 No.10268
>>10267
What would these look like in a navigable 3D format?
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5be6c4 No.10269
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c2f520 No.10270
I've made some images of my own. They are generated using the same data but one is transformed into 3d and they have different viewpoint.
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7c927c No.10271
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7c927c No.10273
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b3c6b0 No.10275
Preview of Sunday.
Step loop function works very similarly to the square root function in step one.
In the square root function you are eliminating values exponentially faster than values grow in size.
In the Step two function you are eliminating values in the set [-f,1] and [e,1] faster than they grow until you END with N-1,N (prime) or (n-1) and n.
Technically there is a step 0 and step 1a but they do not factor into Big Oh of the equation being of order O(1), so there are technically four steps. There is no Step 5. Step 2 above gives you n and was to be the second part of the original YouTube video.
It's what has been hinted at since the beginning and was derived from working backwards from the solution, on the assumption that Big Oh was the same for the square root function of an integer, which it is.
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b3c6b0 No.10276
In order to demonstrate how the Step Two loop function works (as hinted at previously), one of the sets of n we will explore is Fermat numbers where the first five only are conjectured to be prime and where n-1 is an exponent of two. This will include the exploration of KEY values of column e=1.
This part of the explanation will show WHY the conjecture holds. This is not public knowledge yet.
Other n values will be shown growing EXPONENTIALLY in size to EXPLAIN why the Step Two (technically Step Four) works, much the same as why the square root function has it's Big Oh value.
In the END, you'll get a C# version of Step Two.
Whether you get that on Sunday or not, depends on how good a job I do of explaining WHY it works.
Once it is clear that the explanation is being followed, it is likely at least one of you can write the code yourself.
This is an exercise in continuity of knowledge, given the evidence that nCoV is a bioweapon and that there is a pandemic and later this is a fifth endemic coronavirus within the human population and the great changes that occur as we adjust to that, assuming the President of the US doesn't ask a Higher power for help.
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b9fc60 No.10277
>>10275
>>10276
>Once it is clear that the explanation is being followed
Anything you want us to prepare, or are you providing all the code we'll need?
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5be6c4 No.10278
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5be6c4 No.10279
>>10276
>>10275
In case anyone wanted context.
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b3c6b0 No.10280
This is going to take several days.
There is quite a bit in order to show the WHY, not just the HOW.
The Corona virus is currently in pandemic.
As well as showing step two, we are making final preparations here where I am to enter a lockdown.
My last trip to the European mainland is this week.
Inbetween all this the step two loop will be outlined and explained in detail.
The virus is not far from where I am with a super spreader (Brighton) just discovered. He has been infecting people for over two weeks. It is now everywhere in the UK, more or less, as you will see from the news this week. He is not the only one. Panic will start here and elsewhere soon as the truth of the pandemic gets out.
This will be repeated across the globe.
Estimate between 10 and 30% of the infected will die, more will be left with lifelong medical problems.
Estimate almost all of the remainder will not survive the famine to follow.
Estimate even fewer to survive the fighting to follow that.
Unless there is Intervention. Pray for that.
Despite the need to make preparations and to lead a normal life in what remains of normality, we will work here to finish what we started, for continuity of knowledge and because you stayed until the end.
Please be patient when going over content you know well, this does need to be clear. And you have been very patient.
Good luck in your own preparations, please don't leave it too late.
Six months or more of dried food and medical supplies. Don't forget the treats!
You'll need weapons, in case fighting breaks out locally.
Just be better armed than most around you with weapons that have a greater range than those around you. If you have time, train to use them, know how to defend your property from thieves working in groups, especially those that might set fires to smoke you out. Paint quarantine posters in advance.
Try and treat it like a long holiday when you can, mental health is going to be vital.
Keep President's Trump core message close.
Never EVER give up.
There is nothing you cannot achieve.
It is in The END, we show Who We Really Are.
When faced with an Extinction Level Event, we are still not beaten.
Those who work together will emerge.
Good luck and God Bless
VQC
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b3c6b0 No.10281
>>10277
Not at all, thanks.
It's going to be a bit annoying at times due to repeating previous content, just bear with me.
>>10278
Good man.
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b3c6b0 No.10282
The notation.
[-f,1] referes to the first row, to the left of the 0 column, [e,1] refers to the right hand side of the 0 column.
a[e,n,t] refers to value of a in a grid cell at e,n, position t.
If a[t] (where t is an integer indexed from 1) is used, we should have already set the content for e and n, and a[t] will be a shorthand in that scenario.
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2fd647 No.10283
>>10280
Not sure if anyone other math people are awake but I'll post so you know someone is.
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b3c6b0 No.10284
>>10283
Thanks AA, you have the patience of a saint, by-the-way.
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b3c6b0 No.10285
It is not necessary to go over step one, suffice to say that we accept as given that the Big Oh of the square root function is O(log q) where log q (or ln q) is the natural log of the length of an integer in bits.
In other words the square root function executes quickly, even as the size of an integer grows in length.
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b3c6b0 No.10286
This will be given in three stages following tradition.
A overview of what it is going to be.
The detail of what it is.
The summary of what it was
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b3c6b0 No.10287
Overview:
Where c is an odd integer and the difference of two squares, d and e, are the square root and remainder, f is the difference between twice the size of d and 1, x the difference of d and a, and n is the difference between d and the larger of the two squares (in the difference of two squares). Where more than one value of n exists, Big n or N, is the value of largest n, for prime numbers this value is the ONLY value of n.
The Grid (-f/e,n,t) or [e/-f:n:d:x:a:b[t]], as perviously described, contains an indexing function across two grid elements: [-f,1] and [e,1] that reduces the set of a[t] at those grid cells to smallest value of n, or N for prime numbers.
This function uses the property of those grid cells that a(n-1) and an, b(n-1) and bn, are offset in the value x, where b = a + 2x + 2n, and where x is dependent on t.
This function shares the Big Oh of the square root function. This function is both a factorisation function, as well as a primality function. The primaility function is the worst case execution.
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b3c6b0 No.10288
Detail:
The number of odd prime numbers out of the set of all integers, grows at a rate of ln w (where w is an inetger) as w tends towards infinity, this shows the indivisible numbers are far less frequent, the minority of integers.
The way that the function will be explained is to show the difference between highly divisible integers within the grid, and those that are less divisible… with the product of two primes, and primes themselves being the least frequent of all. The function begins to emerge out of this exploration and the patterns produced. The function can then be described in a reducing loop algorithm that can coded for any input integer.
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b3c6b0 No.10289
The detail section will continue until the summary section. Hopefully the approach described, showing what happens as integers that are highly divisible are compared to less divisible integers and then primes, is the best way to explain the integer factoristation function using the Grid.
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5be6c4 No.10290
Crazy… we were just talking about you.
#sheeeeit
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5be6c4 No.10291
YouTube embed. Click thumbnail to play. >>10290
And by we, i mean technically me and doubting thomas…
Who vanished when i asked about a bit of code they claimed they were working on.
I wonder if they checked the board and suddenly got to work because Muh Face and savin' it.
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b3c6b0 No.10292
Starting with the analysis of two square free integers, two products, and the values of n within the grid.
The product of the set of integers {3,5,7,11}
The product of the set of integers {3,5,7,13}
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b3c6b0 No.10293
>>10291
It's ok. Be kind. Be supportive. WE are all in this together.
Good to c you by the way ;)
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b3c6b0 No.10294
Why are the analysis first?
I had a physics teacher I met when studying for a-levels. Paraphrasing: when trying to solve any problem, state everything you know and the resolution becomes apparent by the end.
It's easier to follow, understand and then APPLY THE APPROACH TO OTHER problems. One solution is great, being able to create other solutions is handy.
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b3c6b0 No.10295
The product of 3,5,7, and 11 is 1155.
The product of 3,5,7, and 13 is 1365
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2fd647 No.10296
>>10292
Is this useful at all (it's everything (possibly outdated) that you can calculate from just knowing c), or did you want to just do everything yourself?
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b3c6b0 No.10297
>>10296
NICE! That is fantastic.
I'll create a routine (new laptop) to output the cell (or any given cell) at e and -f for n=1, then I'll use paint to illustrate what I need to show but that is very useful for error checking!
Thank you.
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5be6c4 No.10298
>>10293
>>10297
>>10294
Sometimes I feel I've been too kind.
But thank you for the head pat.
Someone's gotta keep these Nerds motivated.
Side note…
Earlier… you described as the crow flies through stacked cones… right/maybe?
I had a thought.
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2fd647 No.10299
>>10297
Glad I can help with error correction at least. Here's the other c. If you want more information in these pictures let me know. I wrote this program after putting the grid patterns thread together so it can show everything including unknowns, if that will help (but I'd assume we're just using the knowns), and it also does the same thing down the d/e factor tree.
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b3c6b0 No.10300
>>10299
This is a great analysis.
Watch the relevant patterns emerge with these two, your outputs and the integers we deconstruct next!
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5be6c4 No.10301
>>10300
What an odd sentence structure….
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2fd647 No.10302
>>10300
Was that it for today or what?
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5be6c4 No.10303
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b3c6b0 No.10304
More coming, will be in bits and pieces during the week.
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b3c6b0 No.10305
>>10302
Juggling family and work.
In Europe this week.
Also have to write the code I need and create the diagrams.
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e3ced4 No.10306
>>10304
>>10305
Is there anything we can do to speed it up or help it along?
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b3c6b0 No.10307
Evening, still tied up with IRL.
I fly out early tomorrow, will continue to work on code and diagram when possible at the airport and should get another hour on top of that in the hotel after work.
Will keep you updated.
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3bbb29 No.10308
Update.
Wall to wall in Germany.
If anyone wants to turn this around quicker, collaboration might be faster.
What we need for any given c, is a view of a[t] elements at -f and e, side by side.
The first appearance of any factor from c should be coloured differently.
The first is the c from 3,5,7,11
The second example is 3,5,7,13
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21d385 No.10309
>>10304
>>10305
How many elements? If you don't see this before I put something together I guess you can always just tell me if we need more once I post something.
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21d385 No.10310
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21d385 No.10311
>>10308
Hopefully I interpreted what you said correctly. I didn't know if you wanted the t values lined up but I did. I only differently-coloured the first appearance of any one of the factors of c (regardless of whether they're the same factor; for c1365 it's 3*2 and 5*7, so I'm not sure if that's right). Let me know if you want anything changed.
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21d385 No.10312
>>10311
Oh for fuck's sake why didn't it upload the images
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21d385 No.10313
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c2f520 No.10314
>>10308
I know that if we ignore the elements and draw a bit pattern doing as you say, we will end up with a partial triangular pattern. I've posted this before where I also extended it to grow (which is how I saw the triangular waves the factors form).
The triangular patterns can be seen here:
>>8974
>>8975
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c2f520 No.10315
>>10314
These >>10270 are different ways of visualizing this pattern again. Except in 3D.
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f83522 No.10316
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c2f520 No.10317
>>10314
This is the post that outlines it: >>8973 and the second image is a bit pattern representing what VQC is talking about here >>10308
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5be6c4 No.10318
Changing trips.
I'ma have fun with cyphers.
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5be6c4 No.10319
I wonder how the salt turns out…
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5be6c4 No.10320
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5be6c4 No.10321
>>10320
Verification…
I'd like it to matter.
Out of everything I typed out and deleted, that's the most solid thing I can verify with at the moment.
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5be6c4 No.10322
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307cb1 No.10323
Dont know if this is known yet or not. Neither is it usefull for the described problem or not. But here it goes.
c = b*n + r
(c)mod(b) = r
(c)mod(n) = r
((n)mod(b-1) + r)mod(b-1) = (c)mod(b-1)
((b)mod(n-1) + r)mod(b-1) = (c)mod(n-1)
((n)mod(b-1) + (c)mod(b))mod(b-1) = (c)mod(b-1)
((n)mod(b-1) + (c)mod(n))mod(b-1) = (c)mod(b-1)
((b)mod(n-1) + (c)mod(b))mod(b-1) = (c)mod(n-1)
((b)mod(n-1) + (c)mod(n))mod(b-1) = (c)mod(n-1)
if [r < b] and [r < n]:
(c)mod(b) = r
(c)mod(n) = r
(n)mod(b-1) + r = (c)mod(b-1)
(b)mod(n-1) + r = (c)mod(n-1)
(n)mod(b-1) + (c)mod(b) = (c)mod(b-1)
(n)mod(b-1) + (c)mod(n) = (c)mod(b-1)
(b)mod(n-1) + (c)mod(b) = (c)mod(n-1)
(b)mod(n-1) + (c)mod(n) = (c)mod(n-1)
These four equations encode relation between [b*n + r] and [(b-1)*n + r] number sequences.
1) How can we encode relation between [b*n + r] and [(b-2)*n + r] number sequences?
2) Find generalized relation between [b*n + r] and [(b-x)*n + r] number sequences?
3) Using generalized equations find [x] such that [(c)mod(b-x)] equates to 0?
4) Does this seem logical?
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5bf7c2 No.10324
>>10323
0-They do?
1-Depends on the relationship you want to point out. If you have a lot of things pointing to a single value, then perhaps a web of plotted points? Or areas that overlap in a specific way?
2-Or sequences within the sequences being compared. Do they transform in the same ways? Do they share a common midstep somewhere?
3-How generalized? Enough to create a bit of necessary fuzz?
4-Would need a lil' more info, but it seems like a thing, so far, if nothing else.
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b3c6b0 No.10325
>>10316
Thanks AA.
Back from Europe. VAT accounts for the quarter and work today.
This evening and over the weekend, we can start with this, and bring out a view that helps show the patterns. These patterns are in previous images of the GRID but they are obfuscated by being overlaid on each other.
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0cd0cd No.10326
>>10325
This evening your time being half a day or so from now, correct?
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b3c6b0 No.10327
>>10323
if c is an odd number and the difference of two squares, then:
c = ab
c = dd + e
c = (d+n)(d+n) - (x+n)(x+n)
Grid = [e,n,t] (or [-f,n,t])
For c, a'[t] = an, where a' is the Grid value at [e,1,t] and where we then know that [e,1,t+n] = bn
For c, a[t] = a(n-1), where a is the Grid value at [-f,1,t] and where we then know that [-f,1,t+n-1] = b(n-1)
It is the differences in position of t in e and -f columns in the grid for bn and b(n-1) compared to an and a(n-1), that provides the offset, we use to find n.
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b3c6b0 No.10328
>>10326
That's right.
>>10327
There are italics here that wew not intended by using a double single quote to try and represent a third type of 'a' value
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b3c6b0 No.10329
if c is an odd number and the difference of two squares, then:
c = ab
c = dd + e
c = (d+n)(d+n) - (x+n)(x+n)
Grid = [e,n,t] (or [-f,n,t])
For c, a'[t] = an, where a' is the Grid value at [e,1,t] and where we then know that [e,1,t+n] = bn
For c, a"[t] = a(n-1), where a" is the Grid value at [-f,1,t] and where we then know that [-f,1,t+n-1] = b(n-1)
It is the differences in position of t in e and -f columns in the grid for bn and b(n-1) compared to an and a(n-1), that provides the offset, we use to find n.
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b3c6b0 No.10330
Good evening from the UK.
Would like to get ideas about the best way to display the following, since if you wait for the gaps in my work schedule, this is going to crawl along at a pace that is frustrating.
Collaboration is the best way to fix that, having said that I wouldn't expect one person to do all the heavy lifting.
Objectives:
What we're trying to show is patterns.
Showing a list (a[t]) at [-f,1], [e,1] (as AA showed an example of).
We're focusing on highly divisible square-free (for now) numbers (to start with).
We want to show the position of potential values of "an" in the list for [e,1] . The more divisible the value of c, the more values of "an" there will be in the list at [e,1]. We want to compare that to the list of values at [-f,1] for "a(n-1)".
REMEMBER column -f, HAS to have ALL the value (n-1), not just in [-f,1] but obviously in the COLUMN ITSELF, since every factor in [-f,1] is a value of 'n' for the column at -f. REMEMBER THIS. It allows you to force a column to do what you want (we won't need this for the integer factorisation but it shows one way (another way) how to use the grid as a virtual quantum computer) by multiplying c by a value.
By understanding how [-f,1] and [e,1] behave for highly divisible numbers, our analysis will start to show a set of patterns (four) for all odd numbers that are the difference of two squares.
For each of those families, there becomes a pattern to reduce the set of possible factors down again, and so on until there is a factor multiplied by a value of 'n' or only Big N (c is prime). As we know by now an O(log q) algorithm for integer factorisation whose worst case is finding prime is pretty striking.
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0cd0cd No.10331
>>10330
What do you mean by "potential" values of an? I could put diagrams together that show all the ans and a(n-1)s for both c values.
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0cd0cd No.10332
>>10330
I didn't write all of this code for nothing, just tell me what you want a diagram of and I'll put it together.
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0cd0cd No.10333
>>10332
Is 8kun not letting me upload images again?
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0cd0cd No.10334
>>10330
>>10333
https://imgur.com/a/tRwbDkt
Here are both c values and all of their an and a(n-1) elements.
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95eaac No.10335
>>10330
Apparently image uploads work again so I'll retry
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6fd812 No.10336
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623417 No.10337
>>10330
You're doing the same shit you always do, telling us you'll do something on a specific day and never even showing up. If you don't do it now you never will. I don't care if I have to do all of the heavy lifting. From what I've gathered, I'm the only one from the original group who is still willing to give you the time of day. Just tell me what needs to be done in order for you to stop dicking around in this context, rip the bandaid off and explain everything, and I will do all of it immediately. I don't have anything better to do. Let's go.
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d319d2 No.10338
>>10268
Thanks for the 3d idea.
Revised samples attached also incorporate a few changes to the geometry, especially for negative values.
c901-gca…gif - records in 4 quadrants.
c901-rd…gif - non-trivial, moving right by constant i.
c145-e2c…gif - moving right in (e,1) a[t]=c towards (2c,1,1).
c145-con…gif - non-trivial, 20 records left and right by constant j.
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6fd812 No.10339
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50a1c1 No.10340
>>10329
>>10330
Now that I’m divorced I finally have time to do shit I like again, like work on math(s)!!
Looks like we’re back to (-f,1) and (e,1).
Howdy faggots. Hope you’re all well.
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5bf7c2 No.10341
>>10340
Welcome back!
TIME FOR MATHS!
Hey Nerds.
What would make you happy?
What would satisfy you?
What would fulfill your expectations?
Example: VQC showed up. But… was the content not what it was hyped up to be? Was it? Or did you hype it in your head, stacked on top of past situations?
What would have "made the grade"?
Anything short of finishing this?
Perhaps VQC is simply waiting for you to Ask The RIGHT Q.
Best if it happens organically, but if it's forced due to time, then so be it.
We're the only ones with a both a time limit and no knowledge as to its cutoff.
Parallels Q, as per usual.
Style, timing, "hype and expectations"…
In terms of what you're currently working on, not necessarily "overall", when VQC shows up…
What are you hoping for?
What do you need?
Realistically, what is something you think VQC would answer?
Why would he not answer something? Would we not understand the answer?
If there are specific things he can't "give away", could you isolate the gap(s) in his answers?
Questions are ways of arranging answers.
Imagine answers outlining a question.
That question, when asked, will take you to another scale of answers, arranged in all forms of new questions.
Correct Questions render Correct Answers.
Good answers lead to better questions.
But what's the Ultimate Question?
(Or The Last Question, as Asimov would put it.)
[42, amirite?]
<swirls dat quantum whirlpool
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3ec21d No.10342
>>10341
I have no expectations of success. I still, and will for as long as it exists, read posts here because I enjoy thinking about it. I am constantly impressed with the shit you all come up with, it amazes me.
> Realistically, what is something you think VQC would answer?
Personally I would like to know if Wilson’s theorem has anything to do with it, since factorials were mentioned, and astoundingly, the knowledge behind that goes back to the year 1000ish. It appears to be useless, due to the size of factorials, but why otherwise was there a modular, modular, modular … factorial, factorial, factorial push unless to lead to this apparent cul de sac?
When do we start designing /vqc/ clothing, I need a new hoodie.
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5be6c4 No.10343
>>10342
I meeeeean… I have a few designs rolling around in my head and some that I've whipped up but I never really did anything with 'em.
A GHIDRA thingy with a Muncher head… could be fun.
Any particular design requests?
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94ab06 No.10344
I'm re-evaluating at the moment.
I was in Hanau stopped in a Taxi at the petrol station moments before the first shooting began next to the petrol station.
I'll attach a screenshot of the Whatsapp conversation the next morning from the Taxi driver.
Not sure if huge coincidence or near miss.
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94ab06 No.10345
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eade43 No.10346
>>10345
>>10344
So you must have seen the /qr/ posts then
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eade43 No.10347
>>10344
I say this with no emotional connection to that situation of yours, but thinking about it logically, if that wasn't a coincidence, and you barely escaped that just for suggesting that you would explain the VQC, then the understanding of it would have died with you, and potentially will if it's tried again given it didn't work out. If I were in your situation this would convince me to dump everything immediately.
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eade43 No.10348
>>10347
By dump I mean post here by the way
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059a0f No.10349
>>10345
>>10344
Spooky! Keep safe!
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a08c3a No.10350
>>10344
>was in Hanau … moments before the first shooting began
You always say, it's all about time, so good timing on your part. Close enough to a lightning strike to get your attention, but not enough to get zapped. Mebbe a Higher Power is sending a message?
>>10346
>So you must have seen the /qr/ posts then
Think your fishing expedition caught a few in the net..
>>10341
Great questions, pondered the other day. Good to read you.
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5be6c4 No.10351
>>10344
>>10345
Spoopy indeed!
Habba meme to calm dem nerves.
>>10348
^^^ Or fill us in on a deadman's switch… somehow… God forbid.
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eade43 No.10352
>>10350
>Mebbe a Higher Power is sending a message?
If he was given the VQC by a higher power, it seems like that higher power is giving a bit of a nudge to get on with it, in my view. He said himself about the continuity of knowledge and the dangers of nCov. He, like any of us, could die at any moment. He almost did the other day, and if he had, a significant task bestowed upon him would have been uncompleted.
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5be6c4 No.10353
YouTube embed. Click thumbnail to play. Go to 5:25…
Seems like a way to go from 2D to 3D.
Square, circle, sphere, Cube.
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d2ffe9 No.10354
>>10338
A bit more progress with 3d. Here's c145 with constant i, 10 left and right from non-trivial.
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71b53a No.10355
>>10352
Indeed.
We will make progress. I will try to be here once a day at least.
You guys are amazing.
I would have thrown the tables up in the air out of frustration long ago.
There is a HUGE incentive to go get Bitcoins, to hack this or that but all extrapolated roads for me never end well.
This has always been about you. YOU.
My AA Higher Power (God Chris) will lead the way.
I have to be at the airport in 4 hours to fly to Germany again.
Thank you for sticking with this.
It's been a burden in some ways and I feel like I let you down. But it does have to be done the right way. With the right timing.
This is just the beginning. I know it doesnt feel like that.
You will honestly not care about this within a day of realising what is next, perhaps fond(ish) memories of frustration. I can empathise. I was completely alone during this, except for the Higher Power, kept throwing bones. Just when I gave up… inspiration. I thought… again and again… this is it! Then the Offset.
What every person (and they all knows maths better than) looks for is somehow to find equations so that the number of variables is covered.
Two variables, I need non-equivalent equations for two minimum.
You can see where I'm going…
Re: dead man switch. No need. I am sure your Higher Power will find a way. I think I might be someone else's dead man's switch ;)
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71b53a No.10356
>>10341
Somewhat this.
Thank God for Tops.
And every(o)ne else.
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95eaac No.10357
>>10355
Firstly, what's with the change in trip? Secondly, what needs to be done in order for you to post the code? I will do all of it right now. Just tell me what to do.
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71b53a No.10358
>>10357
Sorry about the trip. One of the characters was wrong. Cut n paste (RIP)
We'll create the code together.
It will take the input (d,e) and reduce it to n or N if n does not exist (prime).
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95eaac No.10359
>>10358
I'm talking about diagrams and stuff. You said collaboration would be the best way forward and then talked about specific diagrams you'd need (e.g. >>10335 ). Give me a list and I'll get them all done right now.
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71b53a No.10360
>>10357
It's the short cut. THE short cut.
Being able to apply the GCD algorithm across a SET.
Can you imagine?
It's the equivalent of that.
Sounds good.
Do you know how much trouble you can get into on day one of having that?
Wikileaks insurance files. Open.
Anthony Weiners insurance file. Open (theres a copy at an onion address)
Clinton's server (and what she gave the Chinese). Open
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5be6c4 No.10361
>>10360
¡Hola!
I'm here on time for once ^_^
How's your day goin'?
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71b53a No.10362
>>10359
It's almost 3am. I'll connect from Heathrow.
Diagrams.
For a highly divisible number we want to show the different "n" values in [e,1]
The more factors a number has, the more values of n I [e,1]
What's the best way to show this?
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71b53a No.10363
>>10361
Hey! Missed you pal. Thanks for hanging in there. And for everything you do.
Feels like we're on the home straight!
Its 2.45, gotta drive to the airport soon. Will chat from there.
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95eaac No.10364
>>10362
I did that for your two examples >>10335 here. Would you like me to expand on those diagrams or do them in some other way maybe?
>>10360
I think we're all well aware of the ramifications. If it's the right time for disclosure then all of it is irrelevant. There's a long and complicated story behind this but the short-ish version is that I've been messing with these binaural beat meditation things the Monroe Institute developed (they also helped the CIA to develop the training program for the Project Stargate remote viewers) and there's a way you're meant to be able to use them to ask questions about various things. Every time I've asked a question related to VQC and gotten a usable answer, it turns out to be true. During one of them, I was told that I had VQC-related work to do on February 7th, and that was the day I convinced you to start posting here again. There was another one that said Sunday, and that was the day I fished on /qr/ and you came back here about posted about Hanau. There have been a whole bunch of those throughout the last year or two. The main point is that back in October I deduced through this thing that full VQC disclosure would happen in February. Whether anything I just typed sounds ridiculous or stupid to anyone here or not, the thing clearly works (I also used it to get someone I hadn't talked to in months to text me, and he did within two minutes of the end of the audio tape about something completely irrelevant to me that had happened a week prior). Whether it actually happens before the end of the month or not, given what happened in Hanau, there's clearly some crazy shit going on, and the ramifications of this going public are irrelevant to the importance of getting it done.
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71b53a No.10365
AA, we'll approach this methodically and analytically. You will follow it with ease.
Tops will no doubt produce some excellent and inspiring art along the way.
Coincidence we're all here?
I think this was always the to complete this.
The Three Musketeers.
Perfect.
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6fd812 No.10366
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71b53a No.10367
>>10335
Are you able to show [-f,1] and [e,1] for 3x5x7x11 and 3x5x7x13?
The value of -f and e should not change.
This is normal, we'll get to the diagram we need.
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71b53a No.10368
>>10364
Hairs standing on end.
>binaural beat meditation
My wife just introduced me to this.
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71b53a No.10369
>>10364
One of the best posts I've ever read.
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95eaac No.10370
>>10367
Those are (f,1) and (e,1) for 3x5x7x11 and 3x5x7x13, what do you mean? Is there an error I didn't spot? I'll put a screenshot of the actual grid entries together if that'll help.
>>10368
>>10369
The tapes are all available to torrent if you want a link, or if you want more information about binaural beats etc.
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5be6c4 No.10371
>>10355
>My AA Higher Power (God Chris) will lead the way.
As in oversoul/christ consciousness?
>I have to be at the airport in 4 hours to fly to Germany again. (from Heathrow)…
I wonder if this is disinfo or just letting people know so there's a trail… interdasting…
>I think I might be someone else's dead man's switch ;)
I wonder how your appearances line up with certain timings, such as the hearing today in that place you supposedly were/are…
>>10356
<;3=
>>10360
But what about that Great Fire Wall of China?
How would that go/work?
Lock the censors out?
Unlock everyone else?
I feel like that'd be part of "what she gave the Chinese"…
>>10363
Feels like?
Even if it's God's Timetable, aren't you the one charged with managing it in this scenario?
Or… do you have a higher-but-not-highest up?
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6fd812 No.10372
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95eaac No.10373
>>10367
Maybe you're confused about this part circled in red. I could leave that out of future diagrams if you'd like. It is probably irrelevant come to think of it. That's the e values for the elements with the same a and b values in (e,2) (and vice versa for the f values in (e,1) but their equivalent in (f,0)).
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95eaac No.10374
>>10367
You can obviously verify what you meant when you're back but I thought I'd preemptively update the diagrams to get rid of the extra e and f values to avoid confusion (values don't change). I also made them a bit bigger and changed the colour.
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7c927c No.10375
I will be here as witness. I extend any spiritual protection within my power.
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5be6c4 No.10376
YouTube embed. Click thumbnail to play. While we wait for Senpai to return, I present a video to which you shall react…
"Meh. Pretty much."
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16c8d7 No.10377
Sheeeeeeit, it aint just no 3 musketeers in here.
Spiritual protection coming in from the realm of sheeeeeeit too bruvs.
(Formerly known as "erpderp why not try this in 3D anon")
(Find my last post in this thread, you nogs.
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16c8d7 No.10378
>>10377
^^^[ was me. ]
Sheeeeit
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16c8d7 No.10379
>>10239
We are third/4th dimentional beings dealing with 5th dimentional tech. What I mean is that we are still more-or-less the slaves of time.
If you make time into an infinity symbol in your calculations then all of a sudden you dont have to worry about how long it takes to do that calculation because you have infinite time. It all collapses down to algebra and can be done instantly.
This is the 5th dimention. I think that this problem is the 'addition and subtraction' of the fifth dimention."
Reading this post, was originally what got my sheeeeitbaked gears turning to reply to PMA asking about navigable 3D.
Let me in my sheeeeitbaked [frame](-state) of M(y)nd, try to (e)[x]plain how the gears turned, but are now turning because of that turn from back then.
The vast majority of Us are primarily 3&4 dimensional beings. (Height, Width, Depth, Time -forward)
4th dimension isn't just "time" it's, "time-forwards", because that is the lense through which We experience [Being] Human.
5th dimension would be "time-backwards"
-Idk wtf that is really, but its something like being able to use our "memory", to go back and explain "we read (or heard, or saw, I.e. i experienced) blank__blank, and it caused to me act in blank___blank a way, and in the 4th dimension of time forwards I am able to now draw from the information that is stored within "All" (I.e. the "Infinity" we are about replace "Time" with) and add this more coherent thought process to what was experienced when I originally read the post.
If the 4th Dimension is "time-forwards", the 5th "time backwards", then the 6th is "Now".
6 dimensions which from the perspective of True Totality, envelops all dimensions that create physical reality. (From a kabbalistic perspective there would be 4 more underlying dimensions represented by the sefirah which are not represented physically)
That post says make time into an infinity symbol in your calculations, and you have infinite time.
But rather, make time into an infinity symbol in your literal Mind, and you have Everything Now.
You have The End, you have The Beginning,
You have Everything.
Everything Before.
Everything After.
& Everything In between.
And you have All,
Now.
Idk How, but
We Have It All, Now.
Blessings my Bruddhas.
Vincit Omnia Veritas
Omnia Vincit Amor
Cras Es Noster
Deus Vult
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aaa270 No.10380
>>10374
Thanks AA, I'm having connections issues in the German office including images, will try from hotel.
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e59149 No.10381
>>10380
Anything else you want me to put together in the meantime? I'd imagine you'll want the same diagrams for cs that have a different number of factors at some point for example, although I don't know if you want to do that after you've explained whatever you're going to explain about 1155 and 1365.
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e59149 No.10382
>>10380
Doesn't look like the economic impact of this will matter since the market appears to be on a significant decline because of nCov. More evidence that now is the time for you to explain the solution as soon as humanly possible perhaps?
https:// www.marketwatch.com/story/the-dow-is-off-by-more-than-a-1000-points-and-heading-for-its-second-worst-point-drop-in-its-history-heres-how-the-stock-market-tends-to-perform-afterward-2020-02-24
http:// archive.is/VoFqV
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8803b5 No.10383
Trying to post. Middle of the night in Germany. Had connection problems all day.
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8803b5 No.10384
>>10382
Agreed.
>>10381
Notice anything interesting about these two numbers. Just by looking at them?
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8803b5 No.10385
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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e59149 No.10386
>>10384
>Notice anything interesting about these two numbers. Just by looking at them?
Nothing that isn't already covered in the grid patterns thread, like one of them having an and a(n-1) at the same t and one of them having them at t and t+1, for example. Whatever you're implying you'll probably have to point out yourself.
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e59149 No.10387
>>10385
Here are (e,1) and (f,1) an and a(n-1) for c1155 and c1365 in binary.
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b3a4ef No.10388
>>10251
Are you saying doing something like a graphic where you can have a coordinate (x, y, i) and then a vector for direction you're looking, then on that plane you have (j, k, l) for the RGB values or something like that?
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8803b5 No.10389
>>10387
Similar.
>>10386
The integer, if a highly divisible number will shows it's constituents. Information is hard to hide in very divisible (smooth) numbers. I.e. 1365 1300 65 same with the smaller number divisible by 11.
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.
Remember. If a factor is in column 'e' for any e, it is present exactly twice in [e,1] within two positions that together, they ALWAYS equal that factor plus 1. And the factor is always a value of n in column e. If even one factor did not behave this way, none would. Just like the construction of the Mandelbrot Set. Just like the non-trivial zeros of the analytic continuation of Riemann Zeta function, just like the UNIVERSTALITY of the Riemann function.
ALL integers are CONNECTED.
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.
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eade43 No.10390
>>10389
Do we need any more specific diagrams for binary numbers?
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eade43 No.10391
>>10389
I appreciate how much time you've spent here lately a great deal, but the way you immediately leave after posting one of these clue posts is a little odd. Are you stalling or are you just unreasonably busy?
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d2ffe9 No.10392
>>10378
Thanks again for the inspiration.
c6107 - non-trivial, with x rotation.
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5be6c4 No.10393
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848b4f No.10394
Quick note to say I will be here tomorrow, been travelling most of the day. Hope your week is going well and your preparations are done well in advance, just in case supplies do get harder in your area.
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6fd812 No.10395
>>10360
Why are you acting like linear-time integer factorization will open the Wikileaks insurance files? It would take a significant time chunk studying the algorithm and dissecting it to reverse it even if the problems had similar solutions. As it stands, what you are saying has little to do with reversing AES.
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6fd812 No.10396
>>10355
Hacking Bitcoins not only includes solving the Discrete Logarithm problem over Elliptic Curves, but reversing SHA1. Why are you teasing these things so deceptively as if we have even solved THIS problem?
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5be6c4 No.10397
>>10394
Is it tomorrow, yet?
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5be6c4 No.10398
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000000 No.10399
Summary of VQC posts from February so far
>there's a loop function that works similarly to the square root function in that it eliminates values exponentially faster than they grow
>the algorithm eliminates an/a(n-1) element pairs in (e,1) and (f,1) until it outputs either both N-1 and N (if it's prime) or the smallest valid n-1 and n
>values are eliminated based on patterns in (e,1) and (f,1) that are easier to see in binary
>there are four patterns for all odd numbers
>there are two important types of odd number
<sum of two squares (which appear in columns where e is a square)
<not sum of two squares (which appear at any other e column)
>there are four important configurations of a and b values for every c
<a and b are both sums of two squares
<neither a nor b are sums of two squares
<a is a sum of two squares and b is not
<b is a sum of two squares and a is not
Other potentially relevant grid patterns
>if an integer p is a factor of a[t], then p will be a factor of a[p+1-t] for ALL cells in row n=1
>if p is a factor in a[t] then there exists (e,p)
>in (e,1) we have elements where a[t]=an and a[t]=bn. In (f,1) we have elements where a[t]=a(n-1) and a[t]=b(n-1). These elements are n and n-1 apart in terms of t respectively
>in (e,1) where a[t] = bn, d[t-1]-d = b(n-1)
>the a[t] values in (1,1) are all odd sums of two squares (although not every odd sum of two squares appears as an a[t] value). The a[t] values in (1,1) are also only divisible by numbers which are also odd sums of two squares
>all products (integers) c that are the sum of two squares appear (only) in columns where e=0,1,4,9,16,25…
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4f02a5 No.10400
>>10385
>>10389 ty
Helluva fishing expedition in the open waters today AA, duly noted.
Also well done on the trips audits.
And interesting on the binaural beats and meditation experience.
>>10395
>>10396
Hope you didn't spook the fish with those posts mate. Indeed, we're still on step 1/2/3 or whatever the steps are for this program.
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395519 No.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?
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395519 No.10402
>>10391
I'm following a pattern.
I'm not determining that pattern.
>>10390
100%
>>10392
Love it
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27ffce No.10403
>>10402
It's been almost a month since you said you'd give us the solution. You're clearly too busy to do this during the week if you can't even manage one post per day after saying you would. Europe, Asia, the US and the Middle East are all in full-on pandemic empty-supermarket-shelves doomsday prep mode. The economy and stock market are down the shitter. You almost died in a fucking mass shooting. Anyone else would have already done it by now. Is there any reason why we can't finish this right now?
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395519 No.10404
>>10395
Answered above
>(What is a) spigot function (algorithm)?
It's a funny old world.
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5be6c4 No.10405
>>10402
>>10401
Well hey there, buddy!
Glad you could join us!
What else you got?
Something big'n'chewy for the nerds?
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27ffce No.10406
>>10401
I could calculate each of the n and n-1 values and put them in the spreadsheet cells beside their row in the table. Do you want this for the binary version or the base 10 version?
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395519 No.10407
>>10403
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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27ffce No.10408
>>10407
I'll be doing this in Java then, it's the language I'm best with. Based on your specifications, here's a beginning skeleton. I forget how to do code tags here but I don't want you to fucking leave for half a week again so I'm doing this in a hurry.
public BigInteger factor(BigInteger d, BigInteger e){
ArrayList<BigCell> e1t0tocBigN = makee1list(d, e); //assuming this function is irrelevant since we can do it and c*BigN appears in (e,1) where x=c-d
for(int i=0; i<e1t0tocBigN.size(); i++){
//something
}
}
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27ffce No.10409
>>10408
>>10407
public BigInteger factor(BigInteger d, BigInteger e){
ArrayList<BigCell> e1list = makee1list(d, e);
ArrayList<BigCell> f1list = makef1list(d, e);
BigInteger c = (d.multiply(d)).add(e);
for(int i=0; i<e1list.size(); i++){
if(isOddType1(c)){
//something
} else if(isOddType1(c)){
//something
} else if(isOddType1(c)){
//something
} else if(isOddType1(c)){
//something
}
}
}
The four isOddType things are for those four patterns you talked about.
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27ffce No.10410
>>10409
Come to think of it, making the lists for (e,1) and (f,1) would take a very long time and take up a lot of space in memory for big numbers. Is there a way around that?
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5be6c4 No.10411
>>10410
>making the lists for (e,1) and (f,1)
So… why make full lists then?
What correlations are you looking for?
Can you filter the results that way?
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08f29e No.10412
>>10410
>>10407
Sounds like he is describing a binary search. Meaning we wouldn't need to generate all the elements from a[0] to a[t] = Nc, but instead the midpoints. Ie, first element to look at would be halfway between a[0] and a[t] = Nc, then we discard one half and look at the next.
Although when it comes to develop the algorithm such a method would probably be useful.
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08f29e No.10413
>>10409
The gist from my understanding
1. Create element for a=1, b=c
2.1. Transform element to row 1 (NA transformation)
2.2. Transform element to negative column (NA transformation for -f)
3. Convert x to index t
4. Loop (initial values: low = 0, high = t from step above)
4.1. Generate element between t=low, t=high (mid point? a[(low + high)/2])
4.2. Evaluate cell
4.2.1. If correct => return ?
4.2.2. Else if tooHigh => high = (low + high)/2 - 1
4.2.3. Else if tooLow => low = (low + high)/2 + 1
4.2.4. Else => return is prime?
The place we're stuck at is evaluation, how do we correctly evaluate the element?
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27ffce No.10414
>>10413
If it's a type of binary search we wouldn't need a=1 b=c, we'd just need t=0 and t for x=c-d for (e,1) as the top and bottom points, since he said that was the range. He also said "at least" half, which would imply there's something different about the midpoint, or that it's a different type of algorithm.
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08f29e No.10415
>>10414
You're right and I agree with the "at least" half. I was thinking a bit about
>>10407
> 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
The naive interpretation of set would be elements between a[0] and Nc transform, unless he is being coy about the phrasing.
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27ffce No.10416
public BigInteger factor(BigInteger d, BigInteger e){
BigInteger c = (d.multiply(d)).add(e);
BigInteger cBigNx = c.subtract(d);
BigInteger cBigNt = BigInteger.valueOf(0);
if((e.mod(BigInteger.valueOf(2))).equals(BigInteger.valueOf(0))){
cBigNt = (cBigNx.add(BigInteger.valueOf(2))).divide(BigInteger.valueOf(2));
} else {
cBigNt = (cBigNx.add(BigInteger.valueOf(1))).divide(BigInteger.valueOf(2));
}
Element aLow = e1Element(e, 0) //t=0
Element aHigh = e1Element(e, cBigNt) //a[t]=c*BigN
while(!((aLow.a()).equals(aHigh.a()))){
if(isOddType1(c)){
//something
} else if(isOddType2(c)){
//something
} else if(isOddType3(c)){
//something
} else if(isOddType4(c)){
//something
}
}
}
Element would be an object representing an element obviously, and e1Element would be a function that just returns an element from (e,1). I would think since you haven't said anything about needing (f,1) that we'd find the element at the same t when we go to make calculations maybe.
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08f29e No.10417
>>10416
Why don't we define some constants for 0, 1 and 2, or at least assume we have them. Then we can remove the need for "BigInteger.valueOf(..)". Should make the code slightly more readable. Something like ZERO, ONE, TWO as big integer constants.
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08f29e No.10418
>>10416
Also I'm unsure of our while condition. The basis for this is only in column e, ignoring column -f.
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27ffce No.10419
>>10417
public BigInteger factor(BigInteger d, BigInteger e){
BigInteger zero = BigInteger.valueOf(0);
BigInteger one = BigInteger.valueOf(1);
BigInteger two = BigInteger.valueOf(2);
BigInteger c = (d.multiply(d)).add(e);
BigInteger cBigNx = c.subtract(d);
BigInteger cBigNt = zero;
if((e.mod(two)).equals(zero)){
cBigNt = (cBigNx.add(two)).divide(two);
} else {
cBigNt = (cBigNx.add(one)).divide(two);
}
Element aLow = e1Element(e, zero) //t=0
Element aHigh = e1Element(e, cBigNt) //a[t]=c*BigN
while(!((aLow.a()).equals(aHigh.a()))){
if(isOddType1(c)){
//something
} else if(isOddType2(c)){
//something
} else if(isOddType3(c)){
//something
} else if(isOddType4(c)){
//something
}
}
}
I forget if saying "x = zero" assigns the object pointer or the value for BigIntegers so a couple of those might need to be changed.
>>10418
He said he would correct it so when he's back from whatever the fuck prevents him from being able to post here for reasonable lengths of time he can elaborate, but since he usually frames this from the perspective of (e,1) with comparisons to (f,1) as opposed to using both and comparing them to each other (e.g. he mentioned c*BigN in (e,1) without any mention of c*BigN-1 in (f,1)) I thought that would likely be the way to do it.
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27ffce No.10420
Here's the whole thing in a class, with the Element class too. I didn't really change much about the function in >>10419 so refer to that. All we need are the conditions in the loop function.
vqc.java: https://pastebin.com/DGTDrpxN
Element.java: https://pastebin.com/bJyynTSQ
Obligatory "where the fuck is Chris"
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307cb1 No.10421
I would imagine that those four odd types might have something to do with 4 columns containing all primes in mod12.
Going off the rails a bit:
c = a * b; where a and b are primes and b > a gives:
0 = c (mod b)
a = c (mod (b - 1))
a = c (mod phi(b))
Going thru some properties of: https://en.wikipedia.org/wiki/Modular_arithmetic
Modular multiplicative inverse can be calculated in O(log n). And we have two unknowns and two equations involving a and b. Can we frame this question in such a way to be solvable by Extended Euclidean Algorithm?
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27ffce No.10422
>>10421
>I would imagine that those four odd types might have something to do with 4 columns containing all primes in mod12.
I thought it would have been based on sums of two squares, since he mentioned that there are four relevant types of odd c based on sums of squares >>10385 here. I've never heard of that mod 12 thing. I mean it could be that, but it would make more sense if it was something Chris already said I would think. If any number is the sum of two squares it'll end with 01 in binary, and if it isn't it'll end in 11 (aside from 57 in my tests for some reason). There might be a better way that also tells you about a and b that Chris can tell us.
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27ffce No.10423
>>10422
I put a table together for this. It looks like you can tell if a number is a sum of two squares or not based on the last two binary digits of e and f too. Haven't seen anything that indicates the same for a or b though. There's also the matter of 57 being an exception to the rule (meaning there are possibly others too). Hopefully Chris will elaborate.
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27ffce No.10424
Summary for Chris if you turn up today so you can maximize time spent giving us code
There's a function here >>10419 that takes in d and e, finds the (e,1) elements for t=0 as a minimum and a[t]=c*BigN as a maximum, and then initiates a loop that changes the maximum and minimum until they're the same (at which point you'd return n or whatever).
All we need to know is
-what the four criteria are for odd numbers and how to figure out where they apply (I figured it's probably the four sums of two squares things but >>10421 thinks it's something else)
-how to get rid of at least half of the elements each time the loop runs like you said
-any other corrections we aren't aware of
That's only three small things left to do. Surely you can do the all of it today.
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659747 No.10425
Been playing with rendering multiple records in a single frame.
Here's a bit more eye candy.
is_multiple…png - (0,1) t1 to 10.
c901-non…png - non-trivial 10 records left by e-2d+1 (fn) and right by 2d+e-1 (gn).
c145-abnanb…gif - non-trivial, na, nb in -f and e with rotations.
e-squares…gif - square e columns, n 1 to 5, and t1 - 10.
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659747 No.10426
>>9974 (pb)
And here are the 6 records (combined with rotations) relating to a previous hint about using c estimates to arrive at a solution for c287.
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5be6c4 No.10427
YouTube embed. Click thumbnail to play. Disclaimer: this post and the subject matter and contents thereof - text, media, or otherwise - do not necessarily reflect the views of the 8kun administration.
5be6c4 No.10428
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d96ee4 No.10429
All you need is one extra equation.
One offset.
The difference between -f and e, the first cell.
Why do the numbers fit?
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d96ee4 No.10430
The first thing you do if you become very rich is worry about protecting those close to you.
Better not to play.
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47d5a2 No.10431
>>10430
Are they protected? You did agree several times that the time is right.
>>10429
Are you going to give us the equation? If clues were the way forward we would have figured it out ourselves.
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5be6c4 No.10432
>>10429
The difference is "equivalent" to the first cell?
In what regards?
Or… what/how am I misunderstanding here/this?
>>10430
This Is Not A Game.
We've come to terms with that.
Otherwise we woulda wandered off with the others.
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059a0f No.10433
>>10429
Has the equation been posted in the past?
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659747 No.10434
>>10428
looks like our squares.
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659747 No.10435
>>10426
Similar records, but showing the progression from the initial c0 estimate to the solution.
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1c7ae8 No.10436
>>10337
I love you man… Every time I come check in you crack me up. What ever happened to Teach? That dude was pretty cool.
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9acd7b No.10437
Hey guys I noticed the posts about viewing the bits in a cell and I created this little script for that purpose. It has some nice functionality.
On the left there will be the records for a given (e,n) cell. On the right will be the bit values for the highlighted column. Pics related
Commands:
j/k (J/K) - Go up or down (capital = big amount)
h/l - highlight left or right column to view bits
p - go to previous location
n - go to next location
D - go to record for same a,b but with d increased by 1
d - go to record for same a,b but with d decreased by 1
Q - quit
: - enter command line mode
Command Line Mode
'c <value>' - takes you the location where a=1 and b=value
'ab <a> <b>' - takes you to location where a=a, b=b and d=int(sqrt(a*b))
'abd <a> <b> <d>' - takes you to location where a=a, b=b, and d=d
'en <e> <n>' -takes you to cells where e=e, n=n
'enx <e> <n> <x> - takes you to cell where e=e, n=n, x=x
'filt <expression>' - filters to rows where the python expression is satisified. For example 'filt a%5 == 0' would filter any record where that is not satisfied
'hl <expression>' - hilights rows where the record satisfies the expression. Multiple highlights will do multiple colors
'filt -' - removes most recently added filter
'filt –' - clears all filters
'hl -' / 'hl –' - same as filters -/–
'calc <expression>' - prints the evaluated expression to the view.
For filt/hl/calc, the expressions can use the functions isqrt(n), isprime(n), factors(n).
https://pastebin.com/YkTwFvee
I put it into a single script so you don't need github. Just save the file as 'main.py' or something and then run 'python main.py' and thats it.
Please notify me of any bugs
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5be6c4 No.10438
>>10437
WELL HOWDY STRANGER!
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cd81bf No.10439
>>10436
I can't tell if you're implying that you're laughing at me or with me but sure. Teach hasn't been here since like 2018.
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df8d9f No.10440
>>10429
>>10430
The longer you stall the more you contradict everything you've ever said about higher powers and timing. I swear to god you're going to give me a fucking aneurysm.
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44e20a No.10441
>>10440
Have you tried what he has been suggesting? Look at the grid in binary, look for patterns that would allow you to remove elements not worth looking at?
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02c589 No.10442
>>10441
If I'd found anything useful I would have said. The only stuff I found was related to 00/01 and sums of two squares in those diagrams I posted. How about you?
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b657a0 No.10443
>>10440
Not yet, still looking at it, trying to see any pattern he talked about.
>>10442
The guy doesn't stick to the timeline, but that's his thing. We shouldn't let it control our emotions. In the end it's just a math problem. It's okay to take a few days off and just get some fresh air. Might even help to gain some perspective on everything.
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623417 No.10444
>>10443
I agree with you and everything but it's clearly a bit more than "just a math problem"
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f2c0df No.10445
>>10444
Not really. It boils down to a math problem, but the consequences of the problem are big.
We're not here to deal with the consequences, nor to ponder upon them. We're here to learn math in a new way, one that allows us to solve problems the old way can't.
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aaa270 No.10446
The loop section executes once for each possible length of 'a' in bits, where 'a' is less than 'd'.
The loop section executes a maximum of length of 'd' in bits (half of 'c' in bits).
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b9fc60 No.10447
>>10446
Now to play the "is this the only thing he's going to post today" game
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02c589 No.10448
>>10446
Nothing you've posted for the last week and a half has been productive. It seems to me like all you're doing it making it clear that you haven't abandoned us and that you're waiting for something. If a global pandemic with entire countries going under lockdown and an economic and stock market crash that's probably going to be worse than 2008 isn't enough for you then what the hell could you possibly be waiting for? Or are you just too scared of what comes next? Why not be transparent about it and have a conversation instead of stringing us along like you always do?
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5be6c4 No.10449
2020’s first bitcoin bloodbath is here
https://bgr.com/2020/03/12/bitcoin-price-dips-below-6000-coronavirus-opec-and-whales/
Hey VQC… got any insight on this?
Why would corona putz with crypto?
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5be6c4 No.10450
>>10446
So half'a muh scissors/compass'n'square?
"d is c/2.
loop section runs for every a<d.
it's like… half of the Baby Step-Giant Step"
But just using primes less than d.
I've drawn it out a few times, eh?
Soooo… length in bits… like… a digit/bit per execution?
Does it run all of them within that bit or just check to see if said bit would fit?
"What if you only did Baby Step… and only used Primes?", seems to be the "Where we're at" at the moment.
https://en.wikipedia.org/wiki/Key_size
"As of 2003 RSA Security claims that 1024-bit RSA keys are equivalent in strength to 80-bit symmetric keys, 2048-bit RSA keys to 112-bit symmetric keys and 3072-bit RSA keys to 128-bit symmetric keys.[15] RSA claimed that 1024-bit keys were likely to become crackable some time between 2006 and 2010 and that 2048-bit keys are sufficient until 2030.[15] NIST recommends 2048-bit keys for RSA.[16] An RSA key length of 3072 bits should be used if security is required beyond 2030.[17] NIST key management guidelines further suggest that 15360-bit RSA keys are equivalent in strength to 256-bit symmetric keys."
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2bdba9 No.10452
>>10450
a is going to be at least 3 (which is two bits long) and at most d (the square root is the highest possible a value). The range of possible lengths of a in bits is two to however long d is in bits, or d's length minus one. We already know whether a is going to be odd or even since if c is even the lowest a value (which he said is what the algorithm finds) is 2. That determines the first bit (1 if a is odd, 0 if a is even). If you include that as a step, that makes it the length of d in bits, and seems to imply that in the worst case (primes) we have to do a calculation for each bit one by one, like you said. In an O(log n) algorithm, you halve the search space every time you run through the loop, and d is half the length of c in bits, so assuming you have a preliminary O(1) step I suppose technically it's O(log n) where n is the length of c in bits.
We also know based on this stuff >>10423 and what he said here >>10385 that we can probably figure out the second bit (second from the right) based on sums of two squares (although we don't know about when a and b aren't both sums of two squares or not sums of two squares yet, just when they both are or both aren't, and there are also a few unaddressed anomalies like 57 which doesn't fit the bit pattern of the rest of them from what I remember). That reinforces the idea that we're doing a calculation for each bit. If it's a loop algorithm, that means we're going to be doing a calculation or a set of calculations over and over again. He did say here >>10429 that we need one more equation. From what I gather, we do some unknown calculation to some as yet unidentified variable and then repeat the sums of two squares thing based on a different bit, and we do it over and over. Aside from not knowing what that equation is or where to apply it, how to figure out which of a or b is a sum of two squares and which isn't if they aren't the same, and the anomalies in those bit patterns, the other main confusion is what role an and a(n-1) in (e,1) and (f,1) from t=1 to x=c-d play and how you can halve the number of elements you're looking at in any way that remotely relates to any of what I just explained.
Long story short, metaphorically, he's drawn out a set of directions on the map, but the directions start two towns over. Hence what I said above about him obviously not making these posts to actually get us anywhere but to stall for time for whatever reason.
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5be6c4 No.10453
>>10452
Sooooo…. why aren't we 2 towns over?
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2bdba9 No.10454
>>10453
Because he hasn't given us directions to where the directions actually start
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5be6c4 No.10455
>>10454
Still no Genesis Point?
Where does the gap lead?
What even defines "the gap"?
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5be6c4 No.10456
>>10452
Also, I totally derped and switch c/2 and √c in my head when I originally wrote that.
Led to this, though.
I'm very tired and I'm shooting for a bitlength ballpark. Interdasting when I overlay a mirror.
Imagine you have a wedge and you're slamming it into an opening and then whatever isn't blocked keeps going until there's another blockage and then everything small enough to pass through that… like a sieve of some sort… or a sifter… yeeeeeeeah… Wherever the snags are, those are your factors. How to figure out how to set those… not sure.
Something something ranges… where the number is.
If one extreme of the compass is too little, and the other is too much to be the… primes… using usual usual √c as a guide… something's gotta fit a specific way. Can get stuck…
I'm gonna keep playing with it but I figured I'd post a thing.
In the usual style, everything happened to fall into place/align and it was because I was flipping something in muh headspace.
Totes wip.
Will continue/play with it when I un-passthefuckout.
Hope you enjoyed trying to read that, all who attempted. I salute thee. Your bravery shall not go unpunished!
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5be6c4 No.10457
>>10456
maybe something more like this arrangement…
Something is still "backwards" though… caaaan't quite put my finger on it. Yet.
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5be6c4 No.10458
>>10457
If I use the compass as the range and the square as the pointer…
That arrangement results in 1001001001, which is 585, which makes is palindromic in bases 2 and 10.
Searching for that gibbz some interdasting results:
Better Solution to Project Euler #36?
https://stackoverflow.com/questions/9269495/better-solution-to-project-euler-36#9269586
Project Euler #36
https://projecteuler.net/problem=36
Alongside these gems, in general:
Prime Number Theorem stuff
https://primes.utm.edu/howmany.html
How many all prime numbers p with length of bits of p = 1024 bits?
https://math.stackexchange.com/questions/263588/how-many-all-prime-numbers-p-with-length-of-bits-of-p-1024-bits
Private key length bytes
https://stackoverflow.com/questions/5403808/private-key-length-bytes
(From the answers section)
"The size of a RSA key is expressed in bits, not bytes. 2048 bits are 256 bytes.
A bare-bone RSA private key consists in two integers, the modulus (a big composite integer, its length in bits is the "RSA key length") and the private exponent (another big integer, which normally has the same size than the modulus). However, the modulus and the private exponent have a bit of internal structure, and knowing details about that structure allows for faster implementations (by a factor of about 4). Hence, RSA private keys usually include some more data.
Namely, if the modulus is n and is the product of two prime numbers p and q, then the private key includes:
the modulus n (256 bytes for a 2048-bit key)
the public exponent e (small, often 65537, i.e. can be encoded over 3 or 4 bytes)
the private exponent d (about 256 bytes)
the factors p and q (128 bytes each)
d reduced modulo p-1 (128 bytes)
d reduced modulo q-1 (128 bytes)
1/q mod p (the inverse of q modulo p; 128 bytes)
for a grand total of about 1160 bytes. Then there is a bit of overhead for the encoding, because all those integers could have lengths slightly different (for instance, nothing really requires that p and q have the exact same size; also, e could be greater than that). The standard structure uses ASN.1, which implies a few extra bytes here and there. It is also common to wrap the structure into a bigger structure which also identifies the key as being a key for RSA. 1232 bytes is compatible with a 2048-bit RSA key encoded in PKCS#8 format."
PKCS 8
https://en.wikipedia.org/wiki/PKCS_8
"In cryptography, PKCS #8 is a standard syntax for storing private key information. PKCS #8 is one of the family of standards called Public-Key Cryptography Standards (PKCS) created by RSA Laboratories. The latest version, 1.2, is available as RFC 5208."
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5be6c4 No.10459
YouTube embed. Click thumbnail to play. https://oeis.org/A000010
Euler totient function phi(n): count numbers <= n and prime to n.
-comes back days later to see something sitting in the quick reply box-
Apparently I was doing something and fucked off.
I wonder where Chris went…
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5be6c4 No.10460
>>10446
Dafuq this mean?
v q c = O
???
Google seems to be "unlocked" at the moment, so I searched "vqc rsa" and (pic related) was the preview… but not in the pdf preview so I couldn't get much context.
Interdasting if onto something…
https://www.researchgate.net/publication/220398752_Quantum_Cryptoanalysis_of_Elliptic_Curve_Systems
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768c6e No.10461
Further anaylsis of the c287 c0 estimates in post >>9974, and visuals of these records >>10426 and >>10435, yielded some interesting ideas.
Anon's original image is attached together with a few more details added.
Looking at the i and j values, there is a consistency to how the squares adjust depending on c0's relation to 2c.
if c0 > 2c
# move together
i -= ??
j += ??
else
# move apart
i += ??
j -= ??
In the case of the movements from c2 to c3 and c4 to c5, where the estimate is above 2c, the i and j calculations are:
i0_new = sqrt( i0_orig^2 - c )
j0_new = sqrt( i0_new^2 - c )
example: c2 -> c3
i0_new = sqrt( 26^2 - 287 ) = 19
j0_new = sqrt( 19^2 - 287 ) = 8
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768c6e No.10462
>>10461
Wasn't able to get an exact match to anon's algorithm, but a fruitful discussion on the discord led to a reasonable starting position.
Examples attached are for c287, c943, and c34117, and show a slightly different approach using the difference of squares formula to adjust the i0 and j0 estimates.
c0 is initially calculated as i0 = i[D2] and j0 = d[D].
Subsequent calculations are chained together as:
if c > c0, increase the big square and rebalance the small square to c.
i0 += sqrt( c - c0 )
j0 = sqrt( i0^2 - c )
if c < c0, increase the small square and rebalance the large square to c.
j0 += (c - c0);
i0 = sqrt( c + j0^2 )
A factor is found when i0 matches to a solution record - so this only works in a handful of cases.
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768c6e No.10463
>>10462
The * column in the previous post indicates where the d value for each c0 estimate equals d of the starting c.
Playing around with various examples, it made sense to fix d for each c0 estimate. This has the effect of making the difference between c and c0 equal to the difference between e and e0.
Example c81997 shows the algorithm working with fixed d and a few more details per calculation.
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768c6e No.10464
>>10463
And here's how the algorithm performs over the range of semi-primes between 350,000 and 360,000.
The ter E column is the final c0 estimate used to calculate the factor record.
A calculation to solve based on an na lookup into (e,1) has also been added, as indicated by the "success_na" status.
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d7ec7b No.10465
>>10464
Don't forget the na lookup is
/** Get closest element with a value below input a in (e, n) */
public VQCElement getElementBelowPrimeFactor(BigInteger e, BigInteger n, BigInteger a) {
//xx + e = 2na
BigInteger x = sqrt(two.multiply(a.multiply(n)).subtract(e));
return getElement(e, n, getT(e, x));
}
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2f5a2a No.10466
Dixon's factorization method wip
https://pastebin.com/zKvhYAX4
https://en.wikipedia.org/wiki/Dixon%27s_factorization_method
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8a0678 No.10467
General solution — solution to entire domain of the problem
Specific solution — solution to subset domain of the problem
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8a0678 No.10468
Dixon’s factorization method outline:
Choose factor base B, a base of primes with quadratic residues under c (eg 3*5*7*11)
Randomly generate numbers modulo c until P (the amount of primes in B) numbers which are B-smooth are collected. The result is a list of modular congruences which are different combinations of exponents of the factor base.
Lastly (the step that is unfinished in the program): representing the relations as a 2D binary matrix, find combinations of the relations which multiplied together result in a nontrivial square modular congruence
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acc5ab No.10469
Example factorization:
c = 106577
B = 13
P = [7, 11, 13]
Relations found:
49845^2 ≡ 1001 ≡ 7^1 * 11^1 * 13^1
86487^2 ≡ 1001 ≡ 7^1 * 11^1 * 13^1
Binary exponent vector matrix:
[1, 1, 1]
[1, 1, 1]
We have two relations with all odd exponents, relation 1 and relation 2. Observing from the exponent vectors that [1, 1, 1] + [1, 1, 1] = [0, 0, 0], this means combining relation 1 and 2 results in a square congruence.
We combine relation 1 and 2 by multiplying the principal values together and squaring: (49845 * 86487)^2 ≡ 42808 = 7^2 * 11^2 * 13^2
Then obtaining the modular square root of the right side by halving the exponents: 7^1 * 11^1 * 13^1 = 1001
We now have the square congruence 4310944515^2 ≡ 1001^2 (mod c) and obtain the factors as
4310944515 % c = 11442
gcd(11442 - 1001, 106577) = 197
gcd(11442 + 1001, 106577) = 541
For more advanced examples more relations than two will have to be combined to solve, which is why binary matrices are used.
Gathering more relations than the size of P guarantees at least one square congruence can be created.
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5be6c4 No.10470
>>10446
Hmmmmm…
I wonder what makes this happen…
7919 = 1111011101111 (13)
4093 = 111111111101 (12)
32412467 = 1111011101001001100110011 (25)
1997 =11111001101 11bits
3301 = 110011100101 3301 12bits
6592097 = 11001001001011001100001 23bits
It obviously can't be as simple as "convert to binary, divide the bitlength in half (adjusting to integers so it adds up), and what you're looking for is in those bit lengths.)
I say "it can't be that simple" because:
6977 = 1101101000001 (13)
587 = 1001001011 (10)
4095499 = 1111100111111000001011 (22)
Which already breaks the pattern… but then I start to wonder if it's because the bitlength is even or… what.
271 = 100001111 (9)
7433 = 1110100001001 (13)
2014343 = 111101011110010000111 (21)
This again shows the product being a bit length under the added lengths of the co-primes, but loses the wondering about "even vs odd".
I wonder if that's because of the difference in the size of the decimal values…
9973 = 10011011110101 (14)
17183 = 100001100011111 (15)
171366059 = 1010001101101101011010101011 (28)
Again… Sum is +1 to the Product, which… now that I think about it… the 2 that summed were both the same number of digits in base10 and the others were off by a decimal place.
Patterns… patterns…
Any hints, El Chris?
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307cb1 No.10471
So lets recap.
We have a whole bunch of patterns/rules that apply to some cells in the Grid.
What we dont know is, at which cell to start nor how to use those patterns to approach a solution.
But we do know we have to use those patterns to get from our starting cell to our solution cell which is somewhere in (e,1), (f,1) and (0,n).
1) Is this specific Grid meant to solve only Integer Factorisation Problem? Are the patterns we find and use in this Grid only useful to solve IFP?
2) Are the steps or patterns used always the same for any composite number when solving IFP in this Grid? What about any semiprime?
3) Is the solution a fully deterministic algorithm? Or is it more like a neural net?
1) YES: All patterns are related strongly or weakly to IFP.
NO: Some patterns are used for IFP others for other or both problems.
2) YES: Unique algorithm is to be extracted from patterns.
NO: Algorithm is a sort of self completing and self adjusting based on current step.
3) YES: Unique algorithm is to be extracted from patterns.
NO: Algorithm has some error margin which can be reduced by teaching it more patterns.
Which direction do you guys think we should take? I am thinking more and more of 1)YES, 2)YES, 3)NO.
But then again I was also thinking, and someone more into math could corrent me on this. What if we are to write down all patterns/rules in Grid Patterns thread with formal logic language such as for set theory. Then sending it thru some logic solver (maybe something like https://openlogicproject.org/about/) that would produce some kind of output? idk… Or maybe write a software like openlogicproject that would enumerate all rules at every step in algorithm and somehow decide upon which next step to take? idk…
What are your thoughts on this?
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5be6c4 No.10472
YouTube embed. Click thumbnail to play. WHERE THE FUCK IS CHRIS?!
I got a song for you.
Parse the vid at your leisure.
You know. 1.5x dat ishtar.
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5be6c4 No.10473
YouTube embed. Click thumbnail to play. And just for funzies.
Cuz um….
Sheeeeeeeeeeeeeit…
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13ae12 No.10474
>>10472
If it means anything, when I did the stuff I mentioned in this post >>10364 towards the end of February, what I got back was that the next time anything important would happen in this context would be in April. That's why I said "whether it actually happens before the end of the month or not", because I didn't think it would. Up to you if you think it's all coincidences, but regardless of my bullshit, he said himself, all we need is one extra equation, so he could end this in a single post, and he was clearly stalling with the last few posts he made. He's waiting for something (like usual).
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f4fbed No.10475
Hello Lads. I'm aware that the patterns we're working on are easier to see in binary. I'm also aware that we're looking for patterns to eliminate at least half of the elements on each pass of our loop. That's the focus of this post, although I'm not working in binary. I'm focusing on the elimination ideas.
>>10329
>It is the differences in position of t in e and -f columns in the grid for bn and b(n-1) compared to an and a(n-1), that provides the offset, we use to find n.
>>10355
>Just when I gave up…Then the Offset.
>>10407
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
>>10429
>All you need is one extra equation.
>One offset.
>The difference between -f and e, the first cell.
>Why do the numbers fit?
Hmmm. The Offset.
One extra equation. Like a' ( a' / a'') = n mod 0. No remainder.
To my mind this suggests starting at the (na transform)[t] and having the algorithm run these steps and loops:
1. Construct the (-f,1) and (e,1) cells for the parameters given: a[1] to a[cN]. A finite set of elements to search.
2. Starting element (na transform)[t] in (-f,1) and (e,1).
3. moving up towards the a''[t] and a'[t] values in (-f,1) and (e,1). This eliminates half of the elements for now, everything with [t] greater than (na transform)[t].
4. Quickly calc for each element from (na transform)[t] to a[1]: a' / (a' - a'') = potential n. Discard all elements that are not mod 0. This step should eliminate a huge amount of the noise elements should be at least half if not more. In my spreadsheets for c287 it eliminated every element except (an) and a(n-1).
6. All remaining elements with mod 0, use test n ^^^ to calc a[t+n] = (bn)
7. Verify (bn / n ) = b mod 0. Discard all elements that are not mod 0
8. Save the world and win some bitcoins lol
Maybe simplistic, but a valid method that eliminates huge swathes of elements on each loop, using all the key ideas (except binary) in VQC's recent posts. Just figured I would sit down, catch up, and work to make a contribution today, since I finally have time again. Hope you all are well. Faggots.
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f4fbed No.10476
>>10475
Oops! Got the equation correct in my steps, but typo at first mention.
Correct equation:
a' / (a' - a'') = n mod 0. No remainder.
Quick check to eliminate all non-valid elements between a[1] and the (na transform)[t]
Nice to be back working on Math(s) with you guise.
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307cb1 No.10478
None of anonfile uploads exist anymore.
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aa08fa No.10479
>>10464
Added the remainder 2d(n-1) factor checking method to the c0 estimate algorithm with some positive results.
More background on this method can be found in Rsa 13. (>>7383, >>7384, >>7411)
The remainder (rm2dnm1) is calculated as the difference between an estimated small square (estimated_XPN) and the ndf formula (ndf_XPN) as:
n0 = sqrt( estimated_XPN + c ) - d
ndf_XPN = n0^2 + 2d(n0 - 1) + f - 1
rm2dnm1 = estimated_XPN - ndf_XPN
if rm2dnm1 = 0, then n0 belongs to a factor record.
When calculated for columns (e,1) and (-f,1) where x is one apart, however, the difference between these two rm2dnm1 values can also help find a factor over a wider range of x values.
rm2dnm1_diff = e_rm2dnm1 - f_rm2dnm1
rm_root = e_rm2dnm1 % rm2dnm1_diff
if rm_root = 0, then a = rm2dnm1_diff / 2.
For c6707, the first picture shows the c0 estimate algorithm with a factor found at j0 = 161, even though j = 167 for the factor record.
The range of solution x values using this method is shown in the second picture, extending from j=158 to j=167.
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da2f26 No.10480
>>10429
>>10401
>>10360
>>10329
Hey everyone. I finally have a solid idea to explore as a team. It could be nothing, but it seems promising. Here it is.
Our c value appears in either (-f,1) or (e,1) at b(n-1) or (bn). Or the elements with a[t] values closest to our c value.
“Once you c it, you can’t un-c it” ???
First appearance of c in row 1 should be at b(n-1) or (bn)
AA would you please post your handy code for generating the (an) (bn) a(n-1) b(n-1) elements in row 1?
Could be nothing, but I’m seeing this work for all the smaller examples I’m studying.
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c6b5fb No.10481
>>10480
I used everything.java for that, which will be somewhere in one of the last two or three threads somewhere.
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da2f26 No.10482
>>10481
Thanks AA, I have it up and running now.
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5be6c4 No.10483
This place needs some more Craig THE SAWMAN Sawyer.
Also…
WHERE THE FUCK IS CHRIS?!
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c45462 No.10484
>>10483
No reason why you can't go fish (once he's awake).
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5be6c4 No.10485
>>10484
We should go on a fishing trip.
You know where to hand me some bait.
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c45462 No.10486
>>10485
As I said a few posts ago, he said he's one equation away from finishing this and I think he's waiting for something significant to (finally) happen in Q-land so his family doesn't get murdered when this drops, so I don't really think fishing will achieve anything other than maybe getting him to say hi and then take off again. Plus I've done most of the fishing over the last few months. If you want him to come say hi, go for it, but I'm not going to put several hours into getting told I'm a retard by people on /qresearch/ when it isn't going to achieve anything anymore. Did you want some pictures? I have a folder of them.
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667fea No.10487
>>10485
Hello Topol! You can fish with this. Maybe just blank out our screen names.
Here's an update/exploration on the "lock and key" method.
In the inner portion of the (x+n)^2 area, we have (f-2) div 8.
My updated theory is that 2(n-1) is the difference between the AREA of (f-2) and the next largest square number.
In the example attached, 156 = (f-2)
Next perfect square is 169
169 - 156 + 1 = 14 = 2(n-1)
Could be worth looking into.
Reviewing all old crumbs and all my files and notes since I currently have plenty of time to work during lockdown.
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5be6c4 No.10488
>>10483
>>10487
Not sure I should post the link but um…
Diiiiiiid I just fuckin' find Chris?
Looks about right… Nice view of the Wey.
-clicks excitedly for The Wey-
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5f8f1f No.10489
Hey guys,
What it dooooooooo
Just wanna say hi to all the members working on this:
>AA
>PMA
>Topol
>Jan
I don't remember anyone else that stayed this long on the hunt for the ultimate key to VQC, so Thank you all for your hard work.
I had to put this project aside since I have a lot going on, but quarantine time made me use my PC more than ever and I remembered you guys. I'll get back to you when I have free time on my hands.
Also Chris, stop with the foreplay and give us the solution, when are you planning on revealing the solution to the world?
GBWY
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5f8f1f No.10490
Oooooh GAnon, the minecraft guy IIRC, sorry I missed you earlier
What it do my guy?
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3d4e9a No.10491
>>10489
Hobo was here from the beginning … but I got too lazy to keep up the trip code. Im a useless faggot when it comes to math/programming so I just check in and say hi. But yeah, I will follow this for as long as it exists.
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3d4e9a No.10492
>>10440
>I swear to god you're going to give me a fucking aneurysm.
Dude, I KEK'D hard from this one.
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00b7d4 No.10493
Hello Lads.
It's time to go back to our beautiful roots as a team, faggots. I've asked Sheeeeeitbaked to bless our work tonight, like old days. Hopefully he'll post a blessing here soon. Time to fire up the AQC. And remember what brought us all here in the beginning, during CBTS. I love you all, although we've never met in person. A little history reminder….
TRUTH AND JUSTICE (Fall 2017)
Wikileaks. Podesta Emails. Spirit Cooking. HWNDU Capture the Flag. Seeing our Free world FUCKING GOING DOWN IN FLAMES as Satanists and Pedophiles ran the highest stations of Power.
And those of us who sought the truth found Q on 4Chan.
And then found this crazy motherfucker VQC, who was the FARTHEST out there by far.
The hole at the North Pole. Agartha. Another race in the inner earth, watching out for us, and stopping 9/11 from being worse. Photoshopped NK pics. Crazy?
What is REAL? What is the Truth? WTF is going on in our world?
The shock of what was being revealed caused me to realize that I didn't know shit, and that everything I had believed was based on what I had been taught by others. I opened my mind to accept ideas I previously would have rejected as madness.
And then VQC posts some code to generate a Grid, claiming we're going to take down RSA, open the wikileaks insurance files, and help save the world. Sure, why the fuck not?
We've done a lot of good work lads. And now it's time to work together as a team again, with the blessings of God/Universal Love supporting us. I'm here to work and collaborate with you all. Different Anons have carried the torch at times, keeping the flame burning. The MVP's are AA and PMA. Respect and love to both of you.
This Q/VQC Quest was a major factor in the loss of my marriage and family unit, which I treasured above everything else. I'm all in. Let's solve this without Chris having to give it away.
I'm praying to Jesus over here, since that's my jam. Here's my prayer:
"In faith, I begin my work tonight. Grant me wisdom to understand these amazing patterns you established before the beginning of time. If it's your will for this to be solved at this time, the solution will flow. Not for glory or money, but for Truth and Justice to be done on evildoers. Amen."
More important than HOW do we solve this is WHY should we solve this?
Let the blessings of God be on our work, to do our small Hobbit part to defeat unspeakable evil.
I'm all in for that shit.
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00b7d4 No.10494
>>10493
And TOPOL!!! Love you man!
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00b7d4 No.10495
For all Anons, here's a cheat sheet for reading Binary numbers, and the explanation of how they are actually calculated. Everybody read this and let's work as a team.
https:/ /medium.com/@LindaVivah/learn-how-to-read-binary-in-5-minutes-dac1feb991e
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00b7d4 No.10497
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00b7d4 No.10498
Here's binary and decimal side by side for c1155, [t] 1-20.
Here's some hints from Chris:
>We're looking for 2 types of odd integers.
>sum of two squares, and NOT sum of two squares
And 4 sub-families?
>both are, 1 smaller & 1 larger, 1 is and one is not, both are not.
>what repeats, what does not? Carrier information and determinant?
>What are the values of (n-1) and n for c1155?
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145bcf No.10499
>>10498
Great to have you back!
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00b7d4 No.10500
>>10499
Thanks Anon! Who dat be?
Ok, here's c1155 with decimal and binary for a[t] values in (-f,1) and (e,1) for [t] 1- 25
(na transform) is clearl noted. a(n-1) and (an) will be above the transform. b(n-1) and (bn) will be below the transform.
I included a column for aan(n-1) analysis.
And a column for (a'-a") / a'
Let's get some eyes on this looking for patterns.
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b5d9f4 No.10501
>>10481
Hey. Get on that one place where we can message each other quickly.
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d5c896 No.10502
>>10501
I don't go there anymore specifically to avoid you because of that "clue people" bullshit so you're going to have to have a very good reason for me to go back.
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b5d9f4 No.10503
>>10502
Because it's where your friends work on the problem
And me too. I may be a jerk but I'm still a helpful jerk
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d5c896 No.10504
>>10503
Sending us on a wild goose chase for half a year and pretending to be someone else is the opposite of helpful. I asked who you were and instead of saying "this is Jan from Discord" like any rational person who wanted to work as a team would, you said you were a "spiritual successor" to Chris or some kind of shit like that. You also said there were >3 of you after we got a bunch of ebot posts (which for all I know were probably you too). You posted several sets of elements that moved from a starting point to a solution right before 8chan went down, explained absolutely nothing about it, and sat back while we tried to reverse-engineer it on Discord, not telling us any of the details. You were the one who originally ported the C# version to Java, and got the f calculation wrong. When you and I were talking here on the board about one of your "clues" and I calculated values of f wrong based on your code, you made no allusion whatsoever to being the person who wrote the code that calculated f wrong, only asking me why I had incorrect f values (while simultaneously taking responsibility while we talked about it on Discord). You framed the posts you made as if you weren't part of our group, like when you said "are we already past knowing where e and f have a bearing in column zero?", when you know exactly what we know and don't know (this was also right before you started talking about (0,e) and (0,f), two more concepts you explained absolutely nothing about). If you truly wanted to work as a team, you wouldn't have pretended you knew the solution and posted these "clues", you would have just posted your research so we could collaborate on it objectively. We talked about these fabled "clue people" for months and you said nothing, just deciding out of the blue to post a screenshot with (you)s in February. I thought about it a lot back then and the only reasons I could come up with to explain why you would do all of this is either you are the single worst communicator on the planet or you were being intentionally deceitful and manipulative. Regardless of my interpretation of everything you did, it wasn't "helpful" at all.
You said get on Discord "quickly". Is there a reason you want me to get on there "quickly"? Is something specific happening? Because (with no offense intended towards any of you, this is just my opinion), I don't think any of the work anyone's doing there will lead to a solution. I think it's most likely only going to happen if Chris posts it. So why do you want me to get on Discord specifically now?
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b5d9f4 No.10505
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d5c896 No.10506
>>10505
See >>10279 and >>10430 as well as every other post of his in this thread (all of which, by the way, exist because the same day you told me it was a waste of time to fish was the same day I convinced him to start posting here again), and that post about it being hidden until the time is right (implying that he has to post it because of "God" or whatever). You are the one person who has criticized him more than anyone else, and while I might agree with a lot of it, you're extremely biased (to the point of pretending to know the solution and trying to hijack the direction of everyone's research), so you're the last person whose opinion about Chris is going to convince me of anything. Also if this algorithm is so great, and if you wanted to work as a team, why not post about it on the board? In all honestly, whether you do or not, I'm really not interested in anything you have to say, so if anything constructive really has happened on Discord, consider getting PMA to explain it here.
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d099f7 No.10507
>>10506
> if you wanted to work as a team, why not post about it on the board?
>if anything constructive really has happened on Discord, consider..
With regard to the vqc, Discord has been, is, and will be, fucking cancer. Take note of date Discord started, momentum, and progress. Trying to take offline, mebbe not best idea. Part of reason seems ego, not wanting to 'work' in open and look stoopid/foolish. Nonsense. No one above another, all in together.
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b5d9f4 No.10508
>>10506
What if I told you the binary search we made that one time got resurrected?
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d099f7 No.10509
>>10508
> time got resurrected
Ha, good belated Easter joke fren.
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d5c896 No.10510
>>10507
I don't know who you are since you're anonymous so I don't know if you were around when the server was made but I opposed it to begin with and only really joined out of necessity because (as shown >>10508 here) for whatever reason they quite often refuse to post the stuff they post on Discord on the board.
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b5d9f4 No.10511
>>10510
I know right, it's crazy that anyone wouldn't want to share unpublished ideas with you, especially with how welcoming and constructively critical you are.
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d5c896 No.10512
>>10511
If all you're going to do is be a dick then I'm going to filter you.
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d099f7 No.10513
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b5d9f4 No.10514
>>10512
*posts code*
Notice me senpai
https://pastebin.com/F7Gp13XA I wrote this a few years ago
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d099f7 No.10515
>>10513
>8834321
Prime post, btw.
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d5c896 No.10516
>>10514
By the looks of it you're getting those d between d[t] elements in (e,1), you're seeing if d_2's i is the same as c's i (you could have skipped the square element thing by the looks of it, and you don't use E2 after calculating it), and if it isn't you add c-e to either i or j and recurse. Given how this conversation is going you're probably going to take some of this as a personal attack (it isn't intended that way), but personally I don't think this is going to lead to the solution. I'm not trying to discourage you or anyone else from looking into it, but you came to the board to get my attention, so I'm just giving you my opinion.
I remember when you first brought up the thing about d between d[t] in (e,1) and I think it was i between c[t] or whatever, and I wrote some code to analyze how often the i values were the same by the end of the resursive function. I'm pretty sure it was around 50% for small numbers and it was less than 10% by the time it got to the hundreds of thousands (although that's a guess, I'd have to go look for the screenshot of the terminal output for the exact numbers). This accuracy rate was based on a different version of this recursive function. The only way that this wouldn't be the case now is if there was another hidden pattern that went along with it and you'd found it (in which case it would be the square element in this code). I haven't run your code (I probably will tonight) but that seems to be the only difference is that you've had another idea that it seems like you're trying out. That's great and I'm not discouraging you from doing that or anyone from working on it with you, but I am not convinced that this is the way forward.
Aside from that accuracy rate (I would be surprised if it scaled different for this), I can't deny that a significant part of that is the fact that you didn't post this code when you originally wrote it years ago and said "hey guys, I have this idea about i values in (e,1), does anyone want to look into with me?" and instead went full-on LARP mode for half a year, and also the fact that the concepts in this code (i between d[t], "adjusting the squares", c-e, etc) are all from your clues and not from anything Chris said (by the way, this is nothing like my binary search code from the end of 2017, and I say as the person who wrote 99% of it that despite you saying to look at it again (and then immediately ignoring me when I asked you several times why you said to) there is absolutely nothing useful in there). All of that, in my personal opinion, tied in with the fact that you wrote this code years ago and based all of your "clues" on it instead of just posting the thing, further suggests that you were being intentionally manipulative (even though I have no idea what could possibly compel you to be like that, and, like I said, this is purely my perspective based on what has happened).
Ignoring the fact that these ideas are yours, I'm also unconvinced because of that accuracy analysis I mentioned, because this is very different from anything Chris said (you're welcome to think he's full of shit, but I personally don't think he's nearly as bad as you do), because the amount_of_tests is arbitrary, and because whenever I've looked into any of your ideas related to this stuff they haven't led anywhere. I could very easily have had this opinion about anyone else's research, before you get mad again. Part of me thinks you probably haven't even posted a fraction of what you've actually done, and maybe you haven't even posted what you've been talking about on Discord, but I know it's still going to be based on these concepts. If you think they're going to lead to a solution, I wish you the best, and I will gladly admit to being wrong if you figure it out.
Now have you looked into what Chris has been talking about throughout this thread at all? I think it'll lead to a solution. I think it's pretty unlikely that any of us will figure it out before he tells us, but if you've found any interesting patterns, I'd be happy to look into those. It would also be nice if, instead of deflecting, you pointed out any examples of me being unwelcoming and nonconstructive (apart from that one time in 2018), because I think you just posted that because you're mad at me for pointing all of this out.
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d099f7 No.10517
>>10516
Well considered response, imo.
>>>/qresearch/8835813
Not you, but brings a smile..
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d5c896 No.10518
>>10517
A∴A∴ (specifically with the dots) is an occult order. I haven't read that /qr/ thread but I'd imagine someone mentioned that in there already.
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d099f7 No.10519
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85a279 No.10520
>>10519
Fun fact: to get to the eleventh degree in OTO you used to have to fuck a dude in the butt
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5be6c4 No.10521
YouTube embed. Click thumbnail to play. >>10520
Ozzyland/NZ is riiiiifie with fuckin' OTO.
Side note… I just found this German Version of The Searchers.
Where's Chris go back an- no.
WHERE THE FUCK IS CHRIS?!
Nigga never got back to me on that platform he left in November…
I wonder if there was a hint as to where he'd bounced to back then….
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5be6c4 No.10522
YouTube embed. Click thumbnail to play. Forgot to be a faggot. My b.
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85a279 No.10523
>>10521
Did you end up fishing the other day? It's 10am there now I think, although who knows if he's on the internet.
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5be6c4 No.10524
>>10523
Most def.
>>10488
^^^ Bait has yet to be nibbled. I'll let you know if he pops into where I found that, but he's been gone from there since Nov '19, it seems.
Current fishing attempts brought me to the german version of The Searchers.
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f4f1da No.10525
>>10500
Meh, I stopped using a name a long time ago, didn't feel the need anymore.
>>10507
I think it is a good idea that we do not use discord to discuss ideas. It dilutes the work we're doing by spreading it across platforms. Let's keep the work going here.
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5be6c4 No.10526
>>10525
Thanks, no one!
Too bad your opinion holds no weight. -_-
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b5ef69 No.10527
>>10526
Less hate more math, please.
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5be6c4 No.10528
>>10527
So… fish for 'em.
Got something to contribute?
Bait 'em back here!
At least on Discord, work gets done.
Progress gets posted… but where the fuck is Chris?
That would do a LOT to bring folks back here.
DEAR VQC: WHERE THE FUCK ARE YOU?
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b5d9f4 No.10529
>>10516
“Full on LARP mode” seems like a personal attack to me. Also, did you look at the quadratic sieve precursor code?
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f745a8 No.10530
>>10529
Pretending to be somebody else is literally the definition of a LARP. Why would sieves be helpful if the entire point of the grid is to do something other than sieves? Also have you looked into Chris' posts or not?
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b5d9f4 No.10531
>>10530
Yes. And because the concepts used if derandomized would give a new discrete analysis. They’re worth reading, their current form is just not the way forward, especially because it can’t be used to factor anything significant on a single computer.
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5be6c4 No.10532
>>10531
Derandomized hooooow?
Like sieves getting rid of noise?
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f745a8 No.10533
>>10531
>the concepts used if derandomized would give a new discrete analysis
The concepts used in sieves aren't the concepts used in the grid (i.e. variables, cells and elements), so I'm personally not interested. Good luck with it. I know you think this website is a honeypot and don't like posting here, so was there anything else you wanted to talk about or have we reached the point where we disagree and can go in our own directions (not that that would be any different to how all of us have worked on this since the start though lmao)?
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b5d9f4 No.10534
>>10533
>If all you're going to do is be a dick then I'm going to filter you
As for your question of how the concepts in sieves aren't related to the grid, if you read my post you'd know the opposite is true. Sieves use equations of increasing complexity as they become more advanced to form square modular congruences with modulo c, which when nontrivial is equivalent to finding i^2 - j^2 = c. The building blocks of the equation under Dixon's and the quadratic sieve method are small prime factors. It's not unlike the proposed building block adjustment of the triangle equation for the factorization of c or the building blocks of {e0:n0:d0:x0:a0:b0}.
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d099f7 No.10535
>>10520 Hmm, glad not to have been born into the wrong famalam.
>>10534
see:
>>10533
>The concepts used in sieves aren't the concepts used in the grid
You make a point, but are hanging on to sieves.
The VQC is a calculation (series of calculations).
>>10529
>“Full on LARP mode” seems like a personal attack to me.
Cut the shit. Who LARPed the TempleOS? Not sure is was you, but that's what popped to mind (and not gonna go research).
>>10525
> discord … dilutes the work we're doing
and as was said, is primarily ego-driven.
>>10526
>Too bad your opinion holds no weight. -_-
Don't be a faggot, you're our core Motivator/Muse (and possibly closest to the solution on a given day). Not the best attack dog though, you get a bit defensive write quick, just not your strength brah.
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5be6c4 No.10536
>>10535
-shrug-
Single Post ID. We should take such advice from wandering strangers?
Silly idea.
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b5d9f4 No.10537
>>10535
The concepts in my earlier post are algorithms that learn from each step. They are not the simple iteration algorithms from the start of our journey which try the same equation over and over with nothing gained per each step. Once the building blocks are collected it's only a matter of assembling them which can be described mathematically.
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f745a8 No.10538
>>10534
Okay, and at what point do you use the patterns in (e,1) and (f,1) where x=c-d, columns where c is the sum of two squares, a[p+1-t] etc? It seems to me like you have ideas related to preexisting factorization concepts and you're trying to find grid patterns to apply them to to rather than taking your ideas from the grid patterns themselves. That's where we differ, and it isn't a problem if different people in this group explore different ideas, so where are we going with this?
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d099f7 No.10539
>>10536
>-shrug-
>Single Post ID. We should take such advice from wandering strangers?
dunno either, seemed to know who VA was, glad to have back, etc, before IP hopping. Plenty to infer in that statement, if we want to go w/o trips. Not blind faith in a poster in this case is only point. Let each post/post series stand on its own. Just like when Chris burned his/her/their trips. Showing up again, only content of posts can re-establish credibility.
That said, have nothing fresh to offer atm, so let the social patterns be the guide outside of the math.
>>10537
Good, looking forward to you sharing here, mebbe something we ALL can build upon.
Working public/private has been a key part of this from the beginning. Look at the patterns and momentum since the change toward being discordant with one another. Let (post/bred/board) history be the judge.
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d099f7 No.10540
>>10538
Sorry to cross-post, don't have a rapid-update on this board given typical post speed.
Your points are excellent (Brilliant! to borrow from another..)
Going to end this back and forth now, points have been made, not looking to escalate, rather, move it along. bfn frens..
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b5d9f4 No.10541
>>10538
Patterns are patterns, the approach framed in the VQC hints regarding enumerating patterns was to gather them and form some path from c to solution value. His description of the solution was not a hard-line "final equation," it was something that completed in the same time as the square root function, which is a root-finding function. My road has a template not distanced from VQC's own clues.
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1b6b1d No.10542
>>10541
Okay, cool. I don't want to work on what you're working on. Why are we still having this conversation?
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b5d9f4 No.10543
>>10542
So why should I bother posting my research here to you? Or is this the part where I'm supposed to ask you what McFormat you want the number theory proof in?
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b5d9f4 No.10544
You want the McResults but don't have your heart in the journey.
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5be6c4 No.10545
>>10544
>>10543
Less faggotry.
More math.
If you have something to present, do it.
Why should folks follow you down a rabbit hole when you can't show why?
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1b6b1d No.10546
>>10543
>>10544
I've never told you what you should or shouldn't do. If you don't want to post your research then I can't make you, nor would I want to. What I've been saying the last couple days is that keeping it all to yourself for years, dropping your name and posting in a way that implies you're someone else and that you know the solution is extremely shifty, and that if you want to collaborate (with anyone, not just me), that isn't a productive way to do it (>>10545 "rabbit hole"). If your intention at any point was to collaborate with any of us, regardless of how I might think you should do things, common sense would suggest that you just post the research instead of doing all of that other shit. Getting mad at me and being emotional also isn't a productive way to do that.
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b5d9f4 No.10547
>>10546
But I did and you didn't even read it or think it was insightful. The logical thing to do is convince you to be willing to collaborate, not to dump stuff that no one will read.
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1b6b1d No.10548
>>10547
I'm talking about roughly July last year onward and all of those clue-esque posts. I remember participating more than anyone else did, actually, although I'd have to go through the threads again to be sure. If you're talking about stuff you've posted in the last few days, I did read through most of it, and since it's based on the concepts you presented in all of those posts last year, and since I couldn't find anything useful from those concepts before, nor could I find anything new in this stuff that would seem to me to improve anything, I didn't think they would lead anywhere now either, and so I didn't do anything with them. Do you actually comprehend how you came across by doing all of that stuff last year? I don't think you do.
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08f29e No.10549
>>10536
>>10539
I think we should focus on the content of the posts rather than who made the post. When someone proposes an idea or a pattern, we attempt to verify it. I've done that plenty over the years and I'll keep doing it.
My work now has been to look at the grid in binary, trying to find any patterns, but I'm struggling with it. Go figure.
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5be6c4 No.10550
>>10549
A. Great sentiment!
B: Not the situation, tho.
C; Binary Patterns? Go oooooon…
D, Whatchu strugglin' with? Excellent board material!
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b5d9f4 No.10551
Something I was thinking about.
c ≡ a (mod factor of b-1)
What follows is a modular theorem:
if you have x = y (mod abc) where abc is a composite of any amount of factors
then
x ≡ y (mod a)
x ≡ y (mod b)
x ≡ y (mod c)
etc. for all factors. These equivalences apply decompositionally as well as constructively. Suppose you find two moduli which satisfy x ≡ y, then multiplying them together also satisfies x = y under the field.
Example (decomposition):
111 ≡ 216 (mod 3 x 5 x 7)
111 ≡ 216 (mod 3)
111 ≡ 216 (mod 5)
111 ≡ 216 (mod 7)
Example (constructive):
21041 ≡ 40478 (mod 3)
21041 ≡ 40478 (mod 11)
Multiplying the moduli together the statement is still true:
21041 ≡ 40478 (mod 3 x 11)
Supposing we find
21041 ≡ 40478 (mod 19)
21041 ≡ 40478 (mod 31)
Multiplying them all together, it's still true
21041 ≡ 40478 (mod 3 x 11 x 19 x 31)
This ties back into finding a factor of (b-1). Since ab = (a(b-1) + a), then c is a away from a multiple of b-1, or c ≡ a (mod b-1). Putting this theorem and equivalence together, the equivalence
c ≡ a (mod factor of b-1) follows. This means that if a factor of (b-1) that is greater than a exists then c % that factor = a.
Example:
5125116947 = 331 * 15483737
(b-1) = 15483736 = 2^3 x 17 x 257 x 443
c % 443 ≡ a ≡ 331
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b5d9f4 No.10552
Similarly, c ≡ a * ((2^x * factor of b-1)+1) (mod factor of b-1)
I included 2^x since 2 will always be a factor of b-1 for semiprimes and the parity equivalence is important.
Example:
5125116947 = 331 * 15483737
(b-1) = 15483736 = 2^3 x 17 x 257 x 443
b0 = (2^3 * 443) + 1
c0 = a * b0 = 20416587335
c0 ≡ c (mod 443)
Supposing we construct an a0 using the same method, since (a-1) = 2 * 3^4 * 73 * 487
a0 = (2 * 487) + 1
c0 = a0 x b0 = 3456375
d0 = int_sqrt(c)
n0 = (a0+b0)/2 - d0
Our missing factors are: 3^4, 17, 73, and 257
Now if you look at (e, n0, T) where T is the t value N from c appears at, you will find a = 3^4 × 17 × 73 × 257
This pattern to reveal missing factors of N-n provided you have one of them works on any c value
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b5d9f4 No.10553
**c145
N-n = 8 x 7
(e, 7, T).a = 8
c6107
N-n = 3 x 992
(e, 3, T).a = 992
c1541
N-n = 11 x 66
(e, 11, T).a = 66
c89174982716987
N-n = 552991 x 80629668
(-f, 552991, T+1).a = (80629670)
When N-n is correct the a value will reach 1
Since 2 will be a factor of N-n, (e, 2, T) gives a nontrivial starting estimate of N-n that gets progressively better and better when using a[t] to fill what's missing**
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5be6c4 No.10554
>>10535
I'd just like to point out that muh musivation seems to have worked.
YE NIGGA LIL' FAITH'N'SHEEEIT!
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d099f7 No.10555
>>10554
>I'd just like to point out that muh musivation seems to have worked.
Surely a catalyst, as was noted (from day one). Ego-driven statement, as cred liberally granted, but seem to need moar moar? Look inward and ask why?
>YE NIGGA LIL' FAITH'N'SHEEEIT!
aaaaaaannnd the attack dog side. Trust me brah, I have faith in you, our motley band, our mission, Chris, etc. Thanks for all you do, hard to wear multiple hats sometimes.
>>10551
>Something I was thinking about.
..and working, clearly. Nice.
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5be6c4 No.10556
>>10555
Callin' ye a nigga of lil' faith'n'sheeeit wasn't me doin' a foo doggo.
Calm yo sensitive ass nipples.
That aside, BRING ON TEH BINARY!
ONWARD, NERDS!!!
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d099f7 No.10557
>>10556
All calm all good fren. Onward Upward.
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b5d9f4 No.10558
c = 32983151
N = 16485833 = 7 x 13 x 29 x 6247
N-1 = 16485832 = 2^3 x 11 x 187339
N-n = 16485756 = 2^2 x 3 x 7^2 x 23^2 x 53
n = 77
{1102:7:2360861:5742:2355119:2366617} (1102, 7, 2872)
7 * 2355119 = N
{1102:23:722517:5742:716775:728305} (1102, 23, 2872)
23 * 716775 = (N-n) + (3 * 23)
{1102:49:342187:5742:336445:348027} (1102, 49, 2872)
7^2 * 336445 = (N-n) + 7^2
{1102:53:316795:5742:311053:322643} (1102, 53, 2872)
53 * 311053 = (N-n) + 53
{1102:529:36906:5742:31164:43706} (1102, 529, 2872)
23^2 * 31164 = N-n
{1102:1219:19266:5742:13524:27446} (1102, 1219, 2872)
1219 * 13524 = N-n
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b5d9f4 No.10559
Where n_current is a factor of (N-n)
If n_from_c < n_current then a[(e, n_cur, T)] * n_cur = N-n
N = 2^2 x 3^2 x 29 x 133191193 x 1527533249519 x 2020930219530347 x 752453163291769529 x 2357001146250532129319699687023894590049199
N-n = 2^2 x 5 x 41 x 3167 x 3613 x 2119363 x 587546788471 x 3263521422991 x 602799725049211 x 865417043661324529 x 38273186726790856290328531
n = 2^3 x 13763 x 93997 x 1390179625532420539499978350838329747
As rows 5, 41, 3167, 3613, 2119363, etc are only factors of N-n, they are where nontrivial values would start to appear. At rows that divide N-n an exact solution appears. Example: one of the first row that is larger than n but smaller than N-n and divides N-n is 5 x 41 x 3167 x 3613 x 2119363 x 587546788471 x 3263521422991 x 602799725049211
In this row at T the remaining factors of N-n are a[t].
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b5d9f4 No.10560
>>10559
Accidentally left out that these are the values from RSA100
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44378a No.10561
Good to see our board picking up a bit of momentum again!
>>10538
AA, I'm working on understanding / unlocking the Grid Patterns too. Look this over and let me know if you see any errors. I've done my best to incorporate all new clues.
>>10287
>The Grid (-f/e,n,t) or [e/-f:n:d:x:a:b[t]], as perviously described, contains an indexing function across two grid elements: [-f,1] and [e,1] that reduces the set of a[t] at those grid cells to smallest value of n, or N for prime numbers.
>>10292
>Starting with the analysis of two square free integers, two products, and the values of n within the grid.
>The product of the set of integers {3,5,7,11}
>>10362
>Diagrams.
>For a highly divisible number we want to show the different "n" values in [e,1]
>The more factors a number has, the more values of n I [e,1]
>What's the best way to show this?
>>10367
>Are you able to show [-f,1] and [e,1] for 3x5x7x11 and 3x5x7x13?
>The value of -f and e should not change.
>This is normal, we'll get to the diagram we need.
>>10390
Attached spreadsheet shows all the values for n for c1155
a' / (a'-a") = n is a search for valid n values across the set of a[t] in (-f,1) and (e,1)
Hey VQC! Can you please look this over and give some feedback?
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b5d9f4 No.10562
fi(c) = (a-1)(b-1)
N-n = fi(c) / 2
As a and b increase, the ratio ( (a-1)(b-1) ) / (ab) approaches 1. This is an equivalent statement to as a and b increases, (N-n) / N approaches 1.
Letting r equal a combination of divisors of N-n, N/r - ((N-n)/r) likewise approaches 0. The point at which it reaches 0 is when r > n. This is when it becomes integer-wise equivalent to divide N and N-n by something. Thus in a way, as things scale, the discrepancy between N and n means right answers don't have to be as right to still resolve to the factorization via this method.
>>10561
Here's my version
All resolvable intercepts (elements where d[D] = d) for e = 66 and d = 33 (c1155):
{-1:544:34:33:1:1155} (-1, 544, 17) —— {66:545:33:32:1:1155} (66, 545, 17)
{-1:160:34:31:3:385} (-1, 160, 16) —— {66:161:33:30:3:385} (66, 161, 16)
{-1:84:34:29:5:231} (-1, 84, 15) —— {66:85:33:28:5:231} (66, 85, 15)
{-1:52:34:27:7:165} (-1, 52, 14) —— {66:53:33:26:7:165} (66, 53, 14)
{-1:34:34:25:9:127} (-1, 34, 13) —— {66:35:33:24:9:127} (66, 35, 13)
{-1:24:34:23:11:105} (-1, 24, 12) —— {66:25:33:22:11:105} (66, 25, 12)
{-1:16:34:21:13:87} (-1, 16, 11) —— {66:17:33:20:13:87} (66, 17, 11)
{-1:12:34:19:15:77} (-1, 12, 10) —— {66:13:33:18:15:77} (66, 13, 10)
———————————— —— {66:9:33:16:17:67} (66, 9, 9)
{-1:4:34:13:21:55} (-1, 4, 7) —— {66:5:33:12:21:55} (66, 5, 7)
All resolvable intercepts (elements where d[D] = d) for e = 69 and d = 36 (c1365):
{-4:646:37:36:1:1365} (-4, 646, 19) —— {69:647:36:35:1:1365} (69, 647, 18)
{-4:192:37:34:3:455} (-4, 192, 18) —— {69:193:36:33:3:455} (69, 193, 17)
{-4:102:37:32:5:273} (-4, 102, 17) —— {69:103:36:31:5:273} (69, 103, 16)
{-4:64:37:30:7:195} (-4, 64, 16) —— {69:65:36:29:7:195} (69, 65, 15)
{-4:43:37:28:9:151} (-4, 43, 15) —— {69:44:36:27:9:151} (69, 44, 14)
{-4:30:37:26:11:123} (-4, 30, 14) —— {69:31:36:25:11:123} (69, 31, 13)
{-4:22:37:24:13:105} (-4, 22, 13) —— {69:23:36:23:13:105} (69, 23, 12)
{-4:16:37:22:15:91} (-4, 16, 12) —— {69:17:36:21:15:91} (69, 17, 11)
———————————— —— {69:12:36:19:17:79} (69, 12, 10)
———————————— —— {69:9:36:17:19:71} (69, 9, 9)
{-4:6:37:16:21:65} (-4, 6, 9) —— {69:7:36:15:21:65} (69, 7, 8)
———————————— —— {69:5:36:13:23:59} (69, 5, 7)
———————————— —— {69:2:36:7:29:47} (69, 2, 4)
The dashed lines are where the value isn't resolvable in both columns.
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b5d9f4 No.10563
Same values adjusted to only include valid elements
c=1155
{-1:544:34:33:1:1155} (-1, 544, 17) —— {66:545:33:32:1:1155} (66, 545, 17)
{-1:160:34:31:3:385} (-1, 160, 16) —— {66:161:33:30:3:385} (66, 161, 16)
{-1:84:34:29:5:231} (-1, 84, 15) —— {66:85:33:28:5:231} (66, 85, 15)
{-1:52:34:27:7:165} (-1, 52, 14) —— {66:53:33:26:7:165} (66, 53, 14)
{-1:24:34:23:11:105} (-1, 24, 12) —— {66:25:33:22:11:105} (66, 25, 12)
{-1:12:34:19:15:77} (-1, 12, 10) —— {66:13:33:18:15:77} (66, 13, 10)
{-1:4:34:13:21:55} (-1, 4, 7) —— {66:5:33:12:21:55} (66, 5, 7)
c=1365
{-4:646:37:36:1:1365} (-4, 646, 19) —— {69:647:36:35:1:1365} (69, 647, 18)
{-4:192:37:34:3:455} (-4, 192, 18) —— {69:193:36:33:3:455} (69, 193, 17)
{-4:102:37:32:5:273} (-4, 102, 17) —— {69:103:36:31:5:273} (69, 103, 16)
{-4:64:37:30:7:195} (-4, 64, 16) —— {69:65:36:29:7:195} (69, 65, 15)
{-4:22:37:24:13:105} (-4, 22, 13) —— {69:23:36:23:13:105} (69, 23, 12)
{-4:16:37:22:15:91} (-4, 16, 12) —— {69:17:36:21:15:91} (69, 17, 11)
{-4:6:37:16:21:65} (-4, 6, 9) —— {69:7:36:15:21:65} (69, 7, 8)
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f745a8 No.10564
>>10561
It looks like you're missing a few, did you see the stuff about sums of two squares and a[t]=Nc? Read the posts from >>10385 through to >>10446 if you haven't already. According to Chris all we need is one equation and we've got a reductive O(log n) loop function.
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f745a8 No.10565
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44378a No.10566
>>10564
Hey AA. Thanks for looking it over.
I'll get a[t]=nc worked into the sheet later tonight.
So do the sum of two squares cells fall in the diagonal from the origin at (1,1) ?
For c1555 it looks like that would be (5,5) based on the valid n and n^2 of 5 and 25 that appear.
>>10565
Interesting indeed. Autists on high alert notice everything. VQC is Baking for /qr/ today lol?
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f745a8 No.10567
>>10566
>So do the sum of two squares cells fall in the diagonal from the origin at (1,1) ?
I'm not trying to be a dick here but did you read the posts? >>10385
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44378a No.10568
>>10567
Hello AA! Yes, read them at least 20 times each lol. My recent work shows my work to understand, including the binary values of a[t] in (-f,1) and (e,1). I have not yet figured the 4 binary families / patterns VQC has hinted at.
My question about the diagonal from (1,1) was prompted by the c1155 having n=5 and n=25 which was hinted at here, about n values growing exponentially:
>>10276
>Other n values will be shown growing EXPONENTIALLY in size to EXPLAIN why the Step Two (technically Step Four) works, much the same as why the square root function has it's Big Oh value.
For some reason that connected in my mind to the diagonal. Don't know why, just went with it.
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d4da6c No.10569
>>10568
Yeah sorry, it seemed in your explanations like you'd stopped at a certain point. I had interpreted the exponential thing as him saying he'd go through examples where if you lined them all up they'd be exponential (like c or n = 100, 10000, 1000000, 1000000000 etc, but it still works quickly). I'm not sure that was meant to be a clue. I remember someone talking at one point about looking at diagonal cells like that but from memory I think they were trying to see if the triangle method involved literal triangles within the grid and I don't think it led anywhere.
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44378a No.10570
>>10569
Holy Shit.
Pretty sure I just figured out the binary pattern/solution using c1155. Check this out, THIS IS NOT A DRILL LADS!!
Sums of squares all nestled together, equal t values apart.
(na transform) record holds the binary key (at least for c1155)
a[t]1 = 33 = 10001
a[t]9 = 161 1010001 = 33 + 128
a[t]17 = 545 = 1000100001 = 33+ 512 (na transform)
a[t]25 = 1185 = 10010100001 = 33+128+1024
Sheet attached, key boxes have the thick black borders around them to highlight the binary patterns.
Can I get some eyes on this please?
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d4da6c No.10571
>>10570
Not sure I follow. You've got 33 plus powers of 2 eight elements apart (you've also only applied it to one c value, although like I said I'm not sure what you're trying to say regardless of its validity). Could you explain a bit more?
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44378a No.10572
>>10571
Hello AA, sure.
The odd integers we're looking for are the sums of squares. Binary uses squares to build a number. The (na transform) a[t] value shares the same binary ending as the a[t] = (an) values. They are in the same Family of Squares.
That's the working theory I'm exploring now.
For c1365 I'm finding similar sum of squares patterns in the binary.
The (na transform) 1010000111= 647 contains the binary ending 0111 = 7
The highlighted binary sheet you made is my trusty guide tonight.
a[2] = 39 = 1 0111 = 32+7
a[10] = 215 = 1101 0111 = 128+64+16+7
a[18] = 647 = 101000 0111 = 512+128+7 (na transform)
a[26] = 1335 = 1010011 0111= 1024+256+32+16+7
the difference in [t] values between occurrences is 8, similar to c1155. It moves by 3 and 5 as well. Check out the circled a[t] values on the sheet.
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d4da6c No.10573
>>10572
So you reckon there's a chunk on the end of the binary version of all of the a[t] values in (e,1) and that chunk shows up in a known and an unknown? I'll put a few examples together with other c values and have a look. If that is the case then there's still the matter of knowing which one it is, since in your picture (did you seriously print that out when you could have just used Paint lol) there are a few that aren't na values with the same chunk. But I do think the solution will have something to do with going through each bit one by one, given >>10446 this, so this is a pretty interesting idea.
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44378a No.10574
>>10573
Exactly. Glad you find it interesting!
>So you reckon there's a chunk on the end of the binary version of all of the a[t] values in (e,1) and that chunk shows up in a known and an unknown?
Much more than that if (na transform) a[t] gives us the binary ending to search for.
Alternatively, for c1155 and c1365 it could eliminate 7/8 of the a[t] values if we're doing a process of elimination.
Or maybe it's eliminate all the a[t] values that don't have the matching end bit in binary, then examine remaining values?
For a semi prime c, the a[t]= (an) only appears once in (e,1) if I'm remembering correctly. Pretty sure that's the case. Even if had to eliminate all values except the correct one, it would still be blazing fast.
>did you seriously print that out when you could have just used Paint lol
Lol. I love paper, pencil, and calculators. It's just my jam. I didn't want to rework it tonight in Paint. Got work in the AM.
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d4da6c No.10575
>>10574
That would still require an O(n) search to go through all of them and check if they have the chunk. If this is O(log n) it's either going to be some kind of search where we have a set of values from t=1 to x=c-d that is linear and we know whether it's too big or too small so we can cut the search space in half (which is how binary search works, and which doesn't seem to be relevant to this idea) or (and I think this is more likely personally) the algorithm involves knowing what each bit is meant to be based on other calculations and figuring them out right to left (and that would still work out as O(log n) where n is the length of c in bits, as explained >>10452 here). Maybe if the a[t] chunks are equal like you suggested throughout all c values, that could be part of how you're meant to find the bits. I'm just thinking, anyway. The code's pretty much done, I'll just plug some c values into it in a bit.
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d4da6c No.10576
>>10574
I misplaced a closing parenthesis in my output but hopefully you get the point, here are five more examples with their na values
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44378a No.10577
>>10575
>>10576
AA, I think I got it.
Moving from right to left, we match the binary a[t] elements to the (na transform) a[t] binary value. Each bit moving left eliminates 50% of the search area.
For a semi prime c, we should end up with only one working value, a[t]= (an).
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44378a No.10579
>>10576
>>10575
Knock Knock, AA. Let's get some work done.
https://youtu.be/1o6cTUyfX7k
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44378a No.10580
Time to do some Social Business for the good of the Board. Apparently we need a leader, and I'm willing to step up. Let's get this Shit on track faggots. Plus a good controversy makes things interesting.
>>10548
This 100%.
Jan, we are at peace. I have no beef with you currently.
And, the way you behaved the last year was atrocious. You pretended to have the solution, and mocked anyone who posted new ideas. It was total bullshit.
Your ideas haven't found the solution. Period.
Work with the team, or GTFO. Stop making other people feel stupid for trying their best to help out. It's actually a sign of internal weakness to do the shit you've done.
You post reams of data, with no thought to explain your underlying ideas.
AA, PMA, and myself have devoted ourselves to understanding the concepts.
When you post bullshit, it makes us laugh.
All Anons, post your ideas. WE ARE A TEAM FAGGOTS!!
VQC specifically requested that this be a team effort.
Ego(s) need to be put aside.
Let's fucking work, Lads.
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b5d9f4 No.10581
>>10580
I posted a theorem and a proof of it.
What I code in one day is more than you've contributed for the last 5 threads.
I will post the solution first, and you will study it.
You've made your choice to be the jester of this board.
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44378a No.10582
>>10581
Lol. I study ideas for breakfast.
I'm calling you out publicly, Jan. Your "solved it, you all suck" persona has no place here. Fuck off.
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68468f No.10583
>>10579
Dude I'm not on the board 24/7 (although it might seem that way sometimes probably).
>>10581
Even if I didn't agree with VA, that's a really shitty way to respond to something like that. Is this all because of what you said about knowing something about the grid that turned out to be true? Is this some messiah complex situation and it's gotten to your head? Or are you just an asshole? This is a genuine question, because it seems like it's going to be one of the two.
>>10577
>Moving from right to left, we match the binary a[t] elements to the (na transform) a[t] binary value. Each bit moving left eliminates 50% of the search area.
How are you suggesting we do that programmatically? Also I think there's already a rule for the first two bits based on sums of two squares (01/11) which I explained in an earlier post somewhere so I definitely agree about that probably being part of the algorithm in some form, I'm just not sure how you'd program the part you're suggesting. And did you go through the five examples I posted and look for the same pattern? It should be obvious enough to be a first step at this point that when we have an idea we apply it to multiply c values.
>>10580
I know you have good intentions with this leadership thing but you've been away from here for long periods of time (I know why but still) and sometimes it takes you a while to explain things enough to get your point across (like right now I'm trying to figure out how your idea works programmatically). Chris is the leader who went AWOL. Plus, rallying around one goal has never really worked out here (remember everyone saying they'd help me with Grid Patterns? I'm not still angry about that but it's a good example).
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44378a No.10584
>>10583
Our Board is finally alive lol.
>>10581
Yup. shitty response. Grid? Messiah? Asshole?
Who knows. No work and no verification of recent ideas.
>>10577
Yes, that's what I'm suggesting. The (na transform) a[t] value should carry the same binary ending for (an).
Foe semiprime c, there will only be on correct value, (an)
Find that for c6107 since it's our fav.
>>10580
Yawn. Points taken, AA. Somebody has to be DJT. Let's fucking do this Anons.
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44378a No.10585
Faggots. Get to work! You know what to do. Chip in and find patterns.
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b5ef69 No.10586
Let's look at some facts about Jan:
1. He continuously bashes VQC on discord.
2. He continuously attempts to move us away from the board.
3. He pretended to be MULTIPLE people "who knew the solution" derailing our work for god knows how long (and for what purpose!?).
4. He makes constant toxic remarks, poluting the board.
5. He puts down people's ideas.
6. He seems oblivious to his actions.
At what point to we start to realize this is just forum sliding?
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44378a No.10587
>>10586
100% Anon.
Jan, Repent or STFU.
Jan, I'm calling you out, formally on this board. Right now.
We all know why.
Anon did a great job listing it out. ^^^
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b5d9f4 No.10588
He doesn't have the solution and posts where he got to with a vague ending so people will finish what he started. And then lied about dates and tries to rope people in by
tying it with Q, DJT, or Wikileaks insurance files. That's why he posted the same advertisement for the grid 6 years ago. He doesn't know it. Promise you.
The patterns I've detailed don't need a defense and are the way forward. If you're going to ignore them just because my person makes you feel insecure, then you won't move forward and will continue going in circles in the desert.
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b5d9f4 No.10589
If your intentions were to make this Anon, you're doing a pretty bad job of it by talking about me constantly. But since you are..how much code have I written? Diagrams, hint maps, informational posts made?
All I did was point out that the latest VQC hints are completely lacking in substance.
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752b86 No.10590
>>10584
>Yes, that's what I'm suggesting. The (na transform) a[t] value should carry the same binary ending for (an).
>Foe semiprime c, there will only be on correct value, (an)
You're really not getting what I'm saying.
-How would you programmatically take (e,1) and find an element with the same ending chunk as a known element in O(log n) time?
-Is this pattern true of more than one example? I've said multiple times now, it needs to be checked against more than one example. You formulated it based entirely on c1155.
-How big is the chunk each time? How do we determine the rest of the number after we've figured out the chunk? Are there patterns related to parity or sums-of-squares patterns that change anything about this (assuming it is a pattern)? There's a lot more you need to think out.
You keep taking about us needing to do things and you're not doing any of the things I'm telling you you need to do for your idea to be better thought out.
>>10586
>for god knows how long
If it helps, as far as discerning his stuff from everything else, the earliest I found was June of last year >>9378 >>9379 and from memory (I might be wrong) VQC wasn't here that whole time until February 7th. Nice of him to ignore my last two posts asking him questions too.
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b5d9f4 No.10591
I didn't pretend to know the solution either.
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752b86 No.10592
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b5d9f4 No.10593
>>10592
It wasn't pretend. Those tree cells are useful and I can explain why.
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752b86 No.10594
>>10593
You've had about ten months to explain why (more than that if you've had the code ready for years). "It wasn't pretend" implies you do know the solution, so do you or don't you?
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b5d9f4 No.10595
>>10594
Yes.
Sorry for hiding it and being a jerk.
I gave it away in the last few posts already.
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752b86 No.10596
>>10595
What are the factors of RSA2048 then?
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08f29e No.10597
>>10588
> my person makes you feel insecure
>> 10586
> He pretended to be MULTIPLE people "who knew the solution" derailing our work for god knows how long (and for what purpose!?).
Pretending is generous, you straight up lied.
>>10588
> He doesn't have the solution and posts where he got to with a vague ending so people will finish what he started
>>9376
>>9377
>>9383
>>9384
>>9385
>>9387
So you're saying VQC is being vague because he doesn't have the solution, but you do and you're releasing it by dropping hints and being vague?
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08f29e No.10598
>>10596
>>10595
The whole point of this board is to figure this shit out AND RELEASE IT.
If you had an actual solution, you're supposed to release it here. That's the reason we have this board. That's why we are here.
Hell, this problem is the perfect problem for a zero knowledge proof. You could easily prove you had a solution by doing what AA is saying, post the factors of RSA2048.
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388943 No.10599
>>10590
Hello AA. Let's work. Ivanka will be our muse.
>You're really not getting what I'm saying.
Actually I do get what you're saying. I have read and re-read every VQC crumb and all posts in Grid Patterns at least 20 times. I know the problem inside and out at a deep conceptual level.
>How would you programmatically take (e,1) and find an element with the same ending chunk as a known element in O(log n) time?
I would start with c.
Find the big N element.
Make the (na transform) move into (e,1)
Create a list of all elements from a[1] to a[(na transform)]
(no need to go all the way to a[t]=Nc)
Convert all a[t] values to binary
Then create a way to index each binary bit for each a[t] value.
(Tricky. How do we create a table where we can work right to left eliminating bits? This is a brilliant piece of coding that VQC wrote.)
I would then begin to eliminate elements bit by bit, right to left.
Starting on the right bit, all a[t] values that don't match the first bit of the (na transform) are eliminated.
Once that cycle is completed, we move to bit #2, second from the right.
all a[t] that don't match are eliminated.
Wash. Rinse. Repeat.
Until there is one element left that is our (an) value.
>-Is this pattern true of more than one example? I've said multiple times now, it needs to be checked against more than one example. You formulated it based entirely on c1155.
I've verified the idea on c1155 and c1365, as VQC requested.
>-How big is the chunk each time? How do we determine the rest of the number after we've figured out the chunk? Are there patterns related to parity or sums-of-squares patterns that change anything about this (assuming it is a pattern)?
There is no chunk. It's a binary bit by bit elimination of a[t] (e,1) elements. What i found is that there is a matching chunk for c1155 and c1365. Eliminating bit by bit would do the same thing. VQC gave us an easy one to be able to see the patterns.
>You keep taking about us needing to do things and you're not doing any of the things I'm telling you you need to do for your idea to be better thought out.
This post should show that I've thought it out.
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e03b60 No.10600
>>10599
>Actually I do get what you're saying.
I've been asking these questions for the last few days and this is the first time you've responded to them.
>Create a list of all elements from a[1] to a[(na transform)]
That's O(n), which is the same time complexity as a standard search.
>(no need to go all the way to a[t]=Nc)
>This is a brilliant piece of coding that VQC wrote.
He said you need to go to a[t]=Nc, so this can't be what he was going for.
>I would then begin to eliminate elements bit by bit, right to left.
>Starting on the right bit, all a[t] values that don't match the first bit of the (na transform) are eliminated.
>Once that cycle is completed, we move to bit #2, second from the right.
That's O(n^2), which is exponentially worse than a standard search.
>Wash. Rinse. Repeat.
>Until there is one element left that is our (an) value.
Do you not realize that if two numbers are the same in binary that they're the same in decimal? In other words, eliminating any number that doesn't share the same bit in the same spot until none are left will leave you with the na transform and no other number. This would only work if the na transform and na were the same number, and then it would be a known.
>I've verified the idea on c1155 and c1365, as VQC requested.
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).
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388943 No.10601
>>10600
AA, thanks for your detailed reply. I love it. Thanks man. Work is getting done right now.
>That's O(n), which is the same time complexity as a standard search.
>He said you need to go to a[t]=Nc, so this can't be what he was going for.
No matter what type of search, the list of a[t] (e,1) elements has to be built.
What we do after that determines whether it's O(log n).
>That's O(n^2), which is exponentially worse than a standard search.
Each pass eliminates roughly 50% (depending on the binary distribution) of remaining elements. How is this not what VQC was asking us to do?
>do you not realize that if two numbers are the same in binary that they're the same in decimal?
Good lord. I'm not an idiot, AA. I'm not saying they're the same. I'm saying THIS:
There is a binary tag/ending that is shared.
c1155 and c1365 show this.
It needs further validation. I'm asking all programming anons to help. Prove my idea wrong, faggots.
>>10389
>ALL integers are CONNECTED.
>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.
>it just means that for whatever reason you aren't learning to test on more than one or two numbers
Yeah. That's true. I'm doing my thing over here with pencil, paper, and my trusty TI-89. I'm literally doing the best work I can AA. I don't yet have the programming skills to write code to test multiple c values. I'm doing my part, and will continue to do so. I could pretend to have it all figured out, and for some reason I'm not doing that. Why? Maybe because I love math(s) lol.
I found the binary patterns that VQC asked us to look for. And I'd like to ask for your help to validate the idea for multiple c values.
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e03b60 No.10602
>>10601
>No matter what type of search, the list of a[t] (e,1) elements has to be built.
>What we do after that determines whether it's O(log n).
If you have e, n and t, you can make an element. That's O(1). If you make all of them, it's O(n). You don't have to make the entire cell from one t to another to calculate a specific element. If you did, Chris would have come up with an O(n) algorithm and we wouldn't be here right now.
>Each pass eliminates roughly 50% (depending on the binary distribution) of remaining elements.
Creating all of the elements from one t to another is O(n). You're then going through each one once for each bit (O(n) for each bit, O(log n) for the elements), which would actually make it O(n log n) (so I was wrong but that's still worse than a standard search). n for each bit, log n for the elements, multiplied together, gives the time complexity.
>There is a binary tag/ending that is shared.
>>10599
>There is no chunk.
?????
>It needs further validation. I'm asking all programming anons to help. Prove my idea wrong, faggots.
>I don't yet have the programming skills to write code to test multiple c values.
I spent an hour writing code to produce these >>10576 examples. I don't understand your idea, so I can't go through them. You need to.
>I found the binary patterns that VQC asked us to look for.
I am yet to be convinced that you have. This is a productive conversation to have, and it's probably the most productive we've been for a while, so if this doesn't turn out to be it, at least it dusts off some metaphorical cobwebs.
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388943 No.10604
>>10602
AA, why did VQC ask us to focus on (-f,1) (e,1) binary patterns? Do you have any working theories of your own?
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b5d9f4 No.10605
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388943 No.10606
>>10603
More naysaying.
"Frodo and Sam will never destroy the ring."
But they did lol.
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e03b60 No.10607
>>10604
Dunno. I don't really have any ideas. I think Chris is going to have to tell us, and I think he's waiting for Q to deliver.
>>10605
What are the factors of RSA2048?
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78766d No.10608
>>10605
I've never noticed it before, but your posts are glowing!
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40eaff No.10609
>>10558
>>10559
Lots of places where N-n appears in (e,n0,T). Example for c34117 attached. (!) indicates invalid records.
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388943 No.10610
>>10607
AA, I found another possible link.
a[1] has the same binary tag/ending for a[t] (an) for c6107.
Seed value a[1] contains the seed for (an)?
Gotta get to bed.
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08f29e No.10611
I want to point out something. We can't necessarily trust the current VQC, at least we have no guarantee that this VQC is actually our VQC. Given now that we know Jan has been impersonating people claiming to have the solution, we can no longer be sure that the current VQC isn't just Jan pretending.
If this isn't the case, I'm sure you would understand the level of skepticism needed at this time, Chris.
However, this means the last thread where we had a verified Chris was in thread #14 in which case I'm more worried of the well being poisoned and the current hints / tips / clues are false in order to misguide us.
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5be6c4 No.10612
>>10611
Whatever, Jan.
Contribute or fuck off.
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e03b60 No.10613
>>10612
>Given now that we know Jan has been impersonating people
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5be6c4 No.10614
YouTube embed. Click thumbnail to play. >>10613
Might be more believable if they didn't push the same concepts no matter "who they are" at the moment…
At least their "Dr." persona vaguely attempts to have a backstory.
A liiittle more effort would be appreciated.
I DEMAND CHARACTER DEVELOPMENT, DAMN IT!!!
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08f29e No.10615
>>10612
Stop being so dense.
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b5d9f4 No.10616
1) If you understood mathematics you wouldn't need anyone to spoonfeed you through your pursuit.
1.2) If you knew what you were doing it wouldn't be possible for anyone to mislead you.
2) One day I realized that VQC was running out of substance to put in his hints.
2.2) I wrote proofs and derivations for the patterns he was giving that showed they were empty. I realized he doesn't know the solution.
2.3) I began to give hints to real patterns that do move forward to a quick factorization algorithm to compensate.
3) My posts have been helpful and have moved the board forward from the beginning.
3.1) I wrote all of these things in standalone code:
> Standalone grid generator (with one insignificant typo) with bitmap and chart support
> A real-time grid element generator
> A remainder tree generator
> Implementations of UH Kurzweg's work
> Implementations of known number-theoretical algorithms
> Many, many experimental factorization algorithms as tests
3.2) I wrote the grid intro, glossary, code board, the useful equations and notation, etc.
3.3) I created every VQC map at the top of this list.
3.4) Many, many more things like a wiki of modular congruences and geometrical diagrams that match the original video 1:1.
If you actually think I'm here to mislead you haven't learned anything from The End.
>>10606 Or you're this guy who has posted ideas that run in factorial time for the past 2 years and thinks it's amazing work.
4) Original VQC poster does not know the solution.
4.1) I do believe in his ideas about VQCs. I believe they are prophecies that can come true in the future but only with people who learn to forge their own path through maths. Not this witch hunt where you've shown you are as blind as you were at the start.
I don't need to prove point 4. He has proven it over and over. No, it isn't "waiting for Q to deliver" because Q will never deliver either. The irony of both of these quests is that they were all about hard to accept truths and truth right in front of you but they've resulted in leaders who can't be questioned and followers who can't put the big picture together on their own.
5) This is why you will wander with no insight or solution to the problem indefinitely by choosing to forget my contributions.
5.1) The latest VQC hint is literally binary = binary.
This will be my last post here.
If you change your mind sometime I have a lot of code to post and patterns to describe and I'll even explain my former posts.
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6cdab0 No.10617
>>10616
What are the factors of RSA2048?
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5be6c4 No.10618
>>10616
Why are you choosing NOT to contribute, though?
This is kind of the issue.
Lose the ego, lose the naysaying, and just drop it like it's hot!
Why'z that so hard for dju?
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5be6c4 No.10619
>>10616
>No, it isn't "waiting for Q to deliver" because Q will never deliver either.
I'm… I'm sorry? What are you expecting Q to do besides post, exactly?
>The irony of both of these quests is that they were all about hard to accept truths
Were?
>and truth right in front of you
Best place to hide it!
>but they've resulted in leaders who can't be questioned
When did that happen?
>and followers who can't put the big picture together on their own.
Depends on what you mean by that.
Big picture is pretty easy to see.
Putting everything in motion… If Q is a military thing, then it's not for the public to do considering what would be necessary.
As for VQC… The math's just sitting there waiting on us, or whatever deadline we're not privy to.
Either way, I don't think many, if any, share your perspective on the situation(s).
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4e0425 No.10620
>>10616
>Or you're this guy who has posted ideas that run in factorial time for the past 2 years and thinks it's amazing work.
Lol. Irrelevant. Try harder.
I've followed every major idea looking for the shortcut, which is the ONLY way this will run in O(log n) time.
More insults as usual.
Yawn.
>>10617
Yup, let's see the factors of RSA2048.
>>10618
>Lose the ego, lose the naysaying, and just drop it like it's hot!
Yup.
>>10619
>Either way, I don't think many, if any, share your perspective on the situation(s).
I certainly don't.
Q is legit, based on many validated proofs.
VQC posed a very challenging math problem, and I'm enjoying working on it with this team.
And now, to some work!!
Here's some more exploration on the binary tags/endings idea. Lots of interesting findings. The parts in parentheses ( ) are the ending bits I'm finding. Just doing my thing over here with pencil, paper, and calculator, along with my spreadsheet. And a handy online binary converter lol.
These binary patterns repeat all throughout the grid in (-f,1) and (e,1). Here's just a snapshot using N-1 and N. Being able to read binary helps. if anyone wants to follow along, I've put ( ) around the end tags to make it easier to follow.
The big idea is that parts of the binary code reveal our prime or semi-prime factors. It's not working for every example, so use this as a jumping off point for your own explorations. Here's some examples that have worked.
c1155 = 3 * 5 * 7 * 11 or 33 * 35
N-1 = 544 = 1000(100000) = 32 ending tag
N = 545 = 1000(100001) = 33 ending tag << semiprime solution factor from 3 * 11 primes
c1365 = 3 * 5 * 7 * 13 or 35 * 39
N-1 = 646 = 1010000(110) = 6 ending tag
N = 647 = 1010000(111) = 7 ending tag << prime factor / a value
c6107 = 31 * 197
N-1 = 2975 = 101110 (011111) = 31 ending tag << prime factor / a value
N = 2976 = 101110(100000) = 32 ending tag
c287 = 7 * 41
N-1 = 127 = 1111(111) = 7 ending tag << prime factor / a value
N = 128 = 1000(000) = 0 ending tag
c145 (lol I know) = 5 * 29
N-1 = 60 = 111(100) = 4 ending tag
N = 61 = 111(101) = 5 ending tag << prime factor / a value
I'm also continuing to explore a[t] =(N-1)c and a[t] = Nc and all the values in between.
This binary thing has unlocked another layer of understanding, and I'll keep digging for connections.
I had one "Eureka" moment today where I thought I solved it, but per AA's request I ran some more test examples, and had my hopes dashed.
Let's keep working.
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08f29e No.10621
>>10616
> Attempts to place himself as a figure of authority by making maps, intros and bla bla bla
> Trashes VQC outside of board in a smear campaign
> Make fake posts leading us to believe there are others with the solution
> Reveals it was actually him in an attempt of hijacking VQC
> fails
> make whiny post in last attempt of goading people to beg him for a solution he doesn't have
> is revealed as a shill
Let's be honest here people, it should be pretty obvious that we WOULD attract shills. The most successful would be there from the beginning, earning trust until they can take over the narrative.
If it walks like a shill, posts like a shill…?
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8941a0 No.10622
I don't know why any of you even bothered to read his wall of text. Nothing he says should be taken seriously again unless he posts the factors of RSA2048. Now does anyone have anything else to talk about? Maybe somebody wants to go fishing? (i.e. not me)
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5be6c4 No.10623
>>10621
They did a pretty shitty job considering that everything they say is taken with a mountain of salt.
Then again, I'm sure a lot here are fans of redemption narratives (muh ackaholics anonymoose).
Easiest thing to do is simply move on.
If they say something relevant: Neat!
If they don't: It's like our own personal /TempleOS/. Fun times!
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69e8d9 No.10624
>>10622
Hello AA.
Just spent the evening on Discord trying to get someone (anyone) to work on a random c value to determine whether the binary patterns work or not.
I offered to work through any c value chosen.
Completely unproductive.
PMA dismissed the binary patterns with no output or proof to back up his claim, and ghosted out. WTF?
Topol asked me to prove my street cred by finding the factors of:
c92881 = 293 * 317
c69773 = 137 * 509
Which I did with (e,1) output and a handy primes chart lol.
Jan talked shit, but actually made the best comment of the night:
“What if we write equations to determine whether the digits of number base hold any pattern?”
Please help me AA. I need to talk to a mind right meow.
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8941a0 No.10625
>>10624
Like I said here >>10602 I still don't really understand your idea. You said something about a known (e,1) element having the same binary ending as the unknown na element, then you said "there is no chunk", and your idea of how the algorithm would work is O(n log n) so it's worse than a regular search. When I asked you to explain it, which you did >>10572 here, all you said was that a[t]=BigN and a[t]=na have the same ending digits in binary for the example you'd looked at. Everything else you've said about it has confused me.
-Is it true that a[t]=BigN and a[t]=na have the same ending digits in binary in every example?
-Have you tried it on a significant number of examples (at least 20 for something like this)?
-If that's true, what can we do with this information that will allow us to create an algorithm that runs in O(log n) time?
If you can answer those questions, it will be significantly easier to help you.
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8941a0 No.10626
On the off chance any of you want to work on something that isn't your own idea - I know some of you who don't use names seem to now and again but everyone who uses a name seems to have become so spiteful and self-absorbed to varying degrees
Since I haven't seen anyone else look at all of the clues in this thread as a whole I thought I'd try to think about how everything would come together to make an algorithm. Unless I missed something, here are all of the concepts relevant to the final algorithm that he mentioned in this thread:
>we're looking at a range of elements in (e,1) and (f,1) from t=0 to x=c-d (a[t]=c*BigN)
>each step of the loop removes at least half of the set (implying each step could remove more than half but not less than half)
>in the worst case there will be one step for each possible length of a in bits (meaning he's reworded O(log n) where n is the length of c in bits to O(n) where n is the length of d in bits, but that still technically grows exponentially slower than c since d is c's square root)
>there are four groups of integers based on whether a or b can be represented as the sum of two squares
>there's a relevant pattern in the binary of the (e,1) and (f,1) elements based on the factors of a given number having some sort of "signature"
>there's something about an "offset" created by n and n-1 being the difference between an/-1 and bn/-1 in (e,1) and (f,1)
>we only need one more equation
Everything else he mentioned seemed to be relevant to one or more of these, but these seem to constitute parts of the algorithm itself. First I looked at each point and tried to understand how it would work in a loop algorithm, and then I looked at how they could possibly work together to create a loop algorithm.
>we're looking at a range of elements in (e,1) and (f,1) from t=0 to x=c-d (a[t]=c*BigN)
If we're looking for the elements where a[t]=an and a[t]=bn in (e,1), we're looking for two elements. Normally in binary search you look for one value between a high point and a low point, and you change the mid point based on a known series of values that grows from smallest to largest because you know if it's too high or too low. Even if we were only trying to find one value/element (which could potentially be the case if all we need is the an element), we would still need a series of values that grows from smallest to largest and we would need to know whether a value we were looking for was higher or lower than the mid point. Currently we don't have a known relationship like that. But if we're looking for two values/elements, and if this was binary search, we would need to somehow know whether the lowest element was lower than an and the highest element was higher than bn, if they were both to converge on those elements respectively. an and bn are unknowns, so this doesn't seem to make any sense. If we're working with a range of t=0 to x=c-d, where x=c-d/a[t]=c*BigN is bn for primes, you wouldn't know to begin with that it's a prime number, so how would you know whether to move the upper bound element? All of this seems to indicate to me that we aren't working with binary search and we're working with something else. It still means we have a loop algorithm that works across a range of elements, but it doesn't say much else.
>each step of the loop removes at least half of the set (implying each step could remove more than half but not less than half)
Binary search can't get rid of more than half every time. If you programmatically decided that your midpoint shouldn't be exactly in the middle of the range, it has the potential to either eliminate more than half or less than half of the values, depending on if the mid point is too high or too low. This algorithm is meant to remove "at least" half every time. That means it probably isn't binary search. Still doesn't say what the algorithm is more specifically.
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8941a0 No.10627
>>10626
>in the worst case there will be one step for each possible length of a in bits
This implies we're dealing with O(n) where n is the length of d in bits, which is a completely different algorithm to O(log n). It also implies we could be trying to find a value one bit at a time. But we're also meant to be working with a loop algorithm that eliminates at least half of the range of elements each time. If the worst case (c is prime) does one step for each potential bit in a (which would make some sense if whether it's left-to-right or right-to-left we would somehow know everything's zero until we get to the end, at which point we know it has to be prime), that means every other case doesn't require every bit to calculate. How would we find a valid na element without knowing all of the bits? How would we find na based on the length of a in bits (since obviously na is going to be longer than a in bits)? If we were constructing a number bit-by-bit, what value would that even be (if we're looking for na but basing it on a's length in bits) and how would we know what each bit needs to be? This doesn't seem plausible unless there's a mountain of other information we don't know about. If we aren't constructing a number bit-by-bit, maybe there's another process that coincidentally takes as long to run as there are bits in a in the worst case. If this is the case, it still means there's a lot we don't know that we would need to know.
>there are four groups of integers based on whether a or b can be represented as the sum of two squares
We've already got the groups where a and b are both sums or not. I've still been unable to figure out how the groups based on a and b being either or work. I found patterns based on an/-1 and bn/-1 that seem to work for a few of the numbers but not all of them (based around the first two bits). If we're meant to do something different to integers that fall into any of these four groups, we would need to know which of the four groups any given integer falls into, and I'm yet to see any knowns that would indicate this.
>there's a relevant pattern in the binary of the (e,1) and (f,1) elements based on the factors of a given number having some sort of "signature"
This seems to be a pattern we would pick up visually (otherwise I would think he'd just talk about powers of two). Simply put, I don't see anything. I dunno.
>there's something about an "offset" created by n and n-1 being the difference between an/-1 and bn/-1 in (e,1) and (f,1)
I've thought about this more than the rest of these clues because I actually have an idea or two about it. He's always been quite vague about what "offset" means but then he said
>It is the differences in position of t in e and -f columns in the grid for bn and b(n-1) compared to an and a(n-1), that provides the offset, we use to find n.
an and a(n-1) are n apart and bn and b(n-1) are n-1 apart. I'm thinking maybe the offset he's talking about is the difference between n and n-1 (which is 1). I have a few ideas I haven't tried out yet. One is that maybe if we take an arbitrary element in (e,1) and pretend its a value is our na, and then take its concurrent a(n-1) away to find an incorrect n value, then add that to t to find an incorrect bn element, and then take its incorrect b(n-1) away to find a different n value, I would imagine the difference between these two n values wouldn't be the same as the difference between the n values found by the correct elements (which would be 0, since they'd both be the same n), or maybe there's some way to make a different set of an/-1 and bn/-1 where the difference in t between an/-1 and bn/-1 isn't equal to 1 like it is for n and n-1. This could potentially give us a set of values that grows from smallest to largest, starting from the lowest element and going up in terms of t. I haven't tried it out yet though. Another idea is to do basically the same thing I just described but to also compare it to a[p+1-t] and see if that creates a different offset using more incorrect n values. Another is just a memory that there's something in the grid patterns thread about b(n-1) and a difference between two d values that I don't remember but that Chris said was important. I'm going to look into this stuff fairly soon, but even if it does lead anywhere, the other concepts relevant to the final algorithm need to be taken into account (which is where I think most of our shortcomings have been: looking at one clue without taking other clues into account).
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8941a0 No.10628
>>10627
I also tried to think about how these ideas reinforce or contradict one another. These ideas could definitely make sense together (although they don't appear to make anything more about the algorithm obvious):
>we're looking at a range of elements in (e,1) and (f,1) from t=0 to x=c-d (a[t]=c*BigN)
>each step of the loop removes at least half of the set
>there are four groups of integers based on whether a or b can be represented as the sum of two squares
The thing about the four integer groups based on sums of squares could just mean you add or subtract one from something (like t, or something in an as-yet unknown equation). These clues together just seem to describe some unknown loop algorithm based on a series of elements. Where it gets confusing is when you consider the other ones:
>in the worst case there will be one step for each possible length of a in bits
If we're working with a set of elements and getting rid of at least half each step, what relevance does the length of a in bits have? It seems like either the number of steps is coincidental or we just haven't been given enough information.
>there's a relevant pattern in the binary of the (e,1) and (f,1) elements based on the factors of a given number having some sort of "signature"
If a has some sort of binary "signature", it's going to show up in an, a(n-1) and c. This would seem to make a in binary relevant, but not its length. What it seems like Chris is doing with this combination of ideas is relying on us to find a visual pattern. I haven't been able to find it so far. It seems like knowing this as-yet unknown visual pattern would be the difference between understanding how these ideas could work together and just seeing them as too different to make sense of.
>there's something about an "offset" created by n and n-1 being the difference between an/-1 and bn/-1 in (e,1) and (f,1)
If my idea about calculating incorrect n values gives different "offsets", it could work with the first clues, but it still wouldn't be clear how it would get rid of more than half of the elements, because if there was one set of values that grows from smallest to largest, it seems like it would just be a regular binary search, and regular binary search can't get rid of more than half of the remaining values without also potentially getting rid of less than half. So I don't know that that makes sense. If my idea leads nowhere, I have no idea how this would work with the first clues. Taking the binary clues into account, again, these seem like concepts that differ too much to have relevance in the same algorithm.
>we only need one more equation
So not only do all of these seemingly-unrelated concepts co-exist in one algorithm, but to some degree they co-exist within one equation (given we've already got skeleton code for the loop part and the sums of squares part). Just thinking about these three in particular
>The loop section executes once for each possible length of 'a' in bits, where 'a' is less than 'd'.
>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.
>It is the differences in position of t in e and -f columns in the grid for bn and b(n-1) compared to an and a(n-1), that provides the offset, we use to find n.
How can these three statements be turned into one equation? They certainly could all be true at the same time, it's just they don't seem like they're related to each other at all.
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. I already thought that to begin with, but this reinforced that opinion. It doesn't seem like anything he said is wrong, just that it's still too opaque. If anyone bothers to read through all of that, is there anything that I possibly missed that would connect any two of these concepts in some way? Maybe I got something wrong? Any constructive thoughts at all?
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b5ef69 No.10629
>>10627
>>10626
>>10628
Great summary!
I'm still digesting it, but some things do come to mind.
I'm not familiar with a search algorithm that can remove "at least" half of the space each iteration (but then again I am not up to date on search algorithms). It sounds odd to me.
Thinking back, in thread #14, VQC was talking about how the grid is a lookup table. How we would use it to look up x for "an" (at least based on my understanding). Also, the other algorithms he presented were all recursive based. So this algorithm seems like something new again (I'm pretty skeptical towards VQC ever since he burned his trip-codes in thread #14, so I'm finding this new algorithm very suspicious).
Another thing I was thinking about regarding binary, if "natural" binary representation hasn't revealed anything useful, could an alternative binary representation work? For example, gray code? The binary representation of gray code is a fractal. I wonder if there is a relationship there and that binary was just used without going into details. I haven't looked much into it, but it's an idea worth checking out (Possibly an alternative to gray code?).
I'll spend some time reflecting on your summary and will post some more questions / thoughts around it.
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69e8d9 No.10630
>>10628
>>10626
>>10627
AA, thanks for the detailed summary!
>>10625
Also, thanks for your feedback. I am finding clear patterns. I'll be working on more examples to verify. I'll also work to consider how any pattern would be converted into an algorithm.
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5be6c4 No.10631
>but everyone who uses a name seems to have become so spiteful and self-absorbed to varying degrees
I AM THE HYPE.
But seriously, thank you for getting work did.
Herding cats in a never ending yob.
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85a279 No.10632
>>10629
>I'm pretty skeptical towards VQC ever since he burned his trip-codes in thread #14, so I'm finding this new algorithm very suspicious
Perfectly reasonable. I'm personally convinced it's him based on his behaviour (e.g. telling us he's going to give us the solution and then pussying out at the last minute after a million delays) and based on the information itself (he always used to go on about "offsets" without telling us what that meant, looking for patterns in binary, an unknown pattern between an/-1 and bn/-1 and (e,1)/(f,1)). Plus, like I said in one of those three posts, the one thing all of us have done since the start is focusing on one pattern without considering the other patterns (no matter how many times anyone points it out to any of us), and he isn't doing that. These are all assumptions of course, and, evidently, we all (or most of us) have been fooled at least once.
>Also, the other algorithms he presented were all recursive based.
Guess I'll have to go back through past threads but do you remember anything more specific than that? I know Jan's algorithms were recursive, but I don't remember Chris mentioning recursion (maybe it was the triangle method?). It has been a while.
>Could an alternative binary representation work? For example, gray code?
Assuming current VQC is Chris, he's never mentioned that before, and after I put together a diagram featuring regular binary he implied that it was the correct way to do it and kept talking about ones and zeroes. Assuming current VQC isn't Chris, it probably doesn't even matter. I'm not discouraging you from looking into it though.
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3ec21d No.10633
>>10626
Hey AA, I read every post you write, I just don't often have too much to offer except to thoughtfully consider your point. I stop by a few times a week. Hope you are doing as well as is possible during these gay times.
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e77871 No.10634
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08f29e No.10635
>>10632
> Guess I'll have to go back through past threads but do you remember anything more specific than that?
No, I would have to look at the older threads. The only one that springs to mind right now is the remainder tree. But I can't remember if he ever spoke of an algorithm that wasn't recursive in the past either.
> Assuming current VQC is Chris, he's never mentioned that before
You're right. I think it's just attempting to think of binary numbers in a different light. Either way I'll postpone looking into it until I'm stuck.
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d5d322 No.10636
>>10635
I remember the remainder tree being a precursor to something else that we never got to (I think it was step two and step three was the triangles).
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5be6c4 No.10637
>>10636
Hmmm… soooooo what to do with those little nudges?
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630dae No.10639
>>10636
>>10637
The remainder tree is attempting to find x or x+n.
Using the square root method on d, e, and f. Which would be an O(log n) method.
On the right track with the new binary clues about halving the search space.
All methods are connected.
(x+n)^2 was an earlier search.
Lots of good work done there.
Looking for connection:
1. To the triangle method. (rm2d n-1)
2. (x+n) iteration
3. Binary patterns
4. Grid patterns.
5. Direct calc.
"Enumerate the Patterns and the answer will unfold."
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630dae No.10640
All patterns are leading us to a nexus.
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8e39b7 No.10641
More WIP for the binary patterns. Just looking for connections.
AA, I reviewed your points many times over. Some thoughts:
The binary tag can be set to <d, since we know a falls in that range.
Per VQC:
>in the worst case there will be one step for each possible length of a in bits
WTF?
Was he hinting that a is what we're searching for in binary?
Because that's what I'm finding for multiple examples.
(a) and/or (a+1) is often encoded in the binary, like a prime or (prime +1) remainder that can't be included in the powers of 2 that make up a binary number. They are occurring at equal a[t] values.
The prime number doesn't fit into a square/power of 2^etc , so it stands alone at the end of the binary tag?
c6107 = 31 * 197
(FYI lads, I have ALSO worked through c1155 and c1365 as VQC requested, and the same binary tags are showing up. Bear with me. This is Work In Progress. Done old school.)
(-f,1) for c6107. (N-1)c and (Nc)
t = 3014 (N-1)c // NOTE: this is *ALSO* b(N-1) for (-f na transform) a value = (6107 * 2975) = 18168325
a = 18168325
binary = 1000101010011101000(000101) tag = 5 in decimal.
t = 3015 //same t value as the (Nc) element explored next below.
a = 18180383
binary = 100101010110100100(011111) tag = 31 in decimal. <<< why does 31 keep appearing??
(e,1) for c6107. (Nc)
t = 3015 // NOTE: this is *ALSO* (bn) for the (e na transform) a value = (6107 * 2976) = 18174432
a = 18174432
binary = 1000101010101000111(100000) tag = 32 in decimal. << why does (a+1) keep appearing?
Why are 31 and 32 encoded WAY WAY down in the row 1 values?
This has worked for 5 other examples.
Posting WIP.
Laugh at c6107 if you want, lads. I'm hunting and finding enough to make me want to explore more.
I'm working on the clues VQC provided, using my skill set.
>>10620
Here's previous small examples that work too.
This binary clue is turning up interesting patterns! Seems that a is like a "prime remainder" from the binary creation of a number. The pattern holds moving down in (e,1) for the examples I've studied.
Spreadsheet work for c1155 here:
>>10570
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8e39b7 No.10642
>>10389
“The key to integer factorization is the binary representation, done at the correct scale, in the correct order.”
The prime portion can’t be included in the powers of 2 that make up binary numbers
So it stands alone at the end of the binary number.
Like “prime + all the other parts”
That’s my working theory. Exploring further, of course.
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29d953 No.10644
>>10641
>>10642
I wrote some code that goes through each c value from 3 upwards, figures out all the possible a values for that c, and then checks all (e,1) and (f,1) elements from t=1 to x=c-d to see if any of the a or a+1 values appear at the end of any of the a[t] values in binary (except for a=1 since then it would always happen). In this graph, the x axis is the number of c values tested and the y axis is the number of c values out of those tested where one of the a or a+1 values does appear at the end of an a[t]. It looks like it might actually be linear. I can't remember the last time we found a linear relationship so this is interesting. It could also potentially be a really big curve, so we won't know for sure without higher values. My code's still running and I'll make a bigger graph eventually. I don't know what actual use this information is, since not only would we have to know a but we'd also have to know if our c happened to be one of the ones this pattern applies to, but I just thought I'd confirm or deny whether what you found is consistent, and it seems like it is to some degree.
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29d953 No.10645
>>10644
The proportion seems to be increasing logarithmically. It holds for 78% of c values up to 5000, 79% of c values up to 7500, and 80% of c values up to 17500. Again, I know it relates to stuff Chris has said but I don't see how we can actually use this information constructively. It is still fairly interesting though.
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81faf5 No.10646
>>10644
>>10645
Wow! Thanks AA for taking a look. That is very interesting.
The way we would use it:
Find the a value embedded in one of these locations:
(N-1)c
(Nc)
(-f na transform)
(e na transform)
That's where I'm finding the a values encoded in the binary. We can easily create all those starting from c, set the search as <d, and find the a value hiding in plain sight.
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81faf5 No.10647
>>10644
>>10645
AA: To clarify, what I'm finding is that the prime (a) value is encoded at the end of the binary a[t] values for at least one of the following locations for any given (c) value. These values are easily calculated using only (c), an would make for a blazing fast algorithm to find (a).
a[t] (N-1)c
a[t] (Nc)
a[t] (-f na transform)
a[t] (e na transform)
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81faf5 No.10648
>>10644
>>10645
Literally 4 steps to solve for (a) using binary???
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d4da6c No.10649
>>10647
Well, based on my analysis we already know that isn't going to work for every c value. It could potentially work for up to 80% of them. I didn't do a check for where the a or a+1 actually turns up, so I would think that would lower the number pretty substantially. Also, like I've said many times, it doesn't take all of the clues into account (like search spaces or sums of squares). I'll adapt my code specifically for the known (e,1) and (f,1) elements in a bit. This would actually run in the correct time complexity since if you know the correct element you could try from right to left 1, then 11, then 011 etc in the length of a in bits. I do think you've got a very good idea that relates to the time complexity of this algorithm, so don't be too discouraged. It's just that we already know before I check for knowns that it's going to be a maximum of 80% of c values that it works for, and it'll almost definitely be significantly less than that. Chris did say that there was one equation left. Maybe we need to multiply two numbers together or something like that and they'll always have a or a+1 or whatever at the end of their binary.
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81faf5 No.10650
>>10649
AA. You're a Stoic. Marcus Aurelius would be proud. Rational doubt to the final proof. Thanks for actually working to validate my ideas. I appreciate your mind, skills, and effort. You rock. I really love working with you man.
*hugs*
>>10644
>I can't remember the last time we found a linear relationship so this is interesting
Yes, quite interesting. Seems to be a workable method. 80% success rate?
VQC's clue was not bullshit.
Binary encodes primes, and then the remaining power of 2^whatever.
The leftover is the prime.
And it appears in the a[t] values for:
(N-1)c
(Nc)
(-f na transform)
(e na transform)
>>10645
>The proportion seems to be increasing logarithmically.
Um, yeah. 4 families of odd integers? What happens at huge integers?
Dude, we have a great clue to follow.
Program should run like this:
input (c)
create a[t](N-1) and a[t](N)
create a[t] (N-1)c and a[t] (Nc)
create a[t] (-f na transform)
create a[t] (e na transform)
<d set for binary max digits.
test 4 values for c / (a) = b
Done.
So fast.
P=NP
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0e4757 No.10651
>>10650
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.
I adapted my code from before so that it calculates the four known (e,1)/(f,1) elements based around BigN/-1 and *c and iterates through the bits from right to left to a maximum of the length of d in bits, checking each time if the bits represent a valid a value (based on a*(c/a)). What you said about primes is true (and as I also found out myself, squares fall into the same category). This is shown in the first picture, where c is only prime or a square, and where 99% of them fail. Testing on numbers that aren't prime or square (second picture, with several examples to show how it scales), about half of the numbers up to 1,000,000 have a binary a value appear at the end of the binary for a[t] in one of the four known elements, and it seems to increase the higher c gets as you'll see at the bottom (I would imagine because the higher cs tend to have more factors). That means, unless I've got something wrong, we can find one of the factors of half of all numbers up to at least 1,000,000 just by calculating a square root, doing a few multiplications and additions and then counting the number of binary digits in d. As you'll see in the middle of the second picture, 14082 was either a+1 or a-1 and the full binary version of that number appeared at the end of the binary of one of the four known a[t]s in (e,1)/(f,1) for its c. That's crazy to think about given how big of a number that is, and every bit appears within another a. Just like Chris said >>10389 here about 1300 and 65. That was the biggest hint he's given related to this concept and yet it seemed like the least relevant thing he said that whole time.
Here's the problem though: it works terribly the lower the number of factors. It barely ever works with semiprimes, for example (third picture). Before anyone asks I tried all of the RSA challenge numbers and couldn't factor any of them. If we find one of the easy factors, we're going to then want to feed the rest back into the algorithm to find the next factor, and it would appear that the fewer factors a number has, the less likely that is to work. 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. Another thing worth mentioning is that idea about there being four groups based around sums of two squares and four known elements in (e,1)/(f,1). In the fourth picture you'll see I output some examples of the numbers that appear in each type of element but only the final four binary digits of the c value. This was to check the 11/01 thing that shows if a number is the sum of two squares or not. It doesn't seem like there's any pattern there. If we're lazy we can say that we only have four elements to check, so it just makes it potentially take four times as long to find a factor once we figure out what we're meant to do to find a factor for the less smooth numbers. It would still be a good idea to figure this out of course, but it doesn't appear to be essential for the sake of solving (unless it's the difference between one hour and four hours, but that would have to be an incomprehensibly large number to factor if this is the solution pattern).
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
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0e4757 No.10652
>>10651
(post was too long)
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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4f02a5 No.10653
Have been lurking, and intend to get back to work as well, especially with movement back on the board.
>>10651
10651 is prime, that's a PRIME post AA! Noted.
>>10650
VA, thanks for all your (team)work.
>>10619
ty for keeping the faith 'n sheeeit!
Nice to have a few things cleared up. Glad we got through it.
>>10558 If you've impersonated VQC using a trip in this thread, it would be most kind to come clean and indicate the posts (e.g. "..I always put my fairy in you.." is slightly suspect). ty.
Much love to all you faggots - wishing all well.
Seems perhaps it's about time. Am reminded of fishing, and casting the net to the other side..
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f7c4ae No.10654
>>10653
If by fishing you're referring to fishing on /qr/ for Chris, that would potentially be a productive thing to do right now if you're bored and you're looking for a less mind-intensive way to get back into this since nobody else ever seems to want to other than me or Topol every once in a while
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f7c4ae No.10655
>>10651
>>10652
By the way, I've also tried bit-trimming now and that worked for a couple of the lower values but it didn't seem to hold. I haven't tried bit-trimming concurrently with q yet though.
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c3ad40 No.10656
>>10652
>>10651
AA, thanks man. I will attempt to rein in my excitement, and keep working. Thanks for your work to validate the key ideas. I'm just glad that we're making significant progress!!
I'm headed to work, but I will sit down later and start looking for patterns.
Here's one idea I've been tripping out on that may be worth looking into if you have time today.
You know that (N-1)c and (Nc) are offset by one [t] value.
for c6017
a[t](N-1)c is located at (-f,1) [t] = 3014 << binary tag (00101) = 5 (not a match)
a[t](Nc) is located at (e,1) [t] = 3015 <<binary tag (100000) = 32 = (a+1 match)
at location (-f,1) t = 3015 (next element down from (N-1)c element, equal t value to the Nc element) we find a = 18180383 << binary tag (011111) = 31 (match)
May be worth looking into. We don't have a name for this element yet. If we can find ONE element where the binary always shows up, we can make this work. Maybe that should be our focus for now?
Anyhow, I'll be free in 12 hours or so lol. Thanks again for your fucking kick ass work!!
>>10653
MM, thank you! Nice to see you back.
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752b86 No.10657
>>10656
>If we can find ONE element where the binary always shows up, we can make this work.
That makes me think it's also worth looking into why it was only 80% that had one show up anywhere in (e,1)/(f,1). Regardless of bringing that 50% number up based on looking through more of the (e,1)/(f,1) elements, it'll be impossible to bring that 50% to 100% if we can't bring the 80% to 100%. In a few hours I'll tinker with my code and I'll maybe look for more of the unknowns than just a and also add a few extra t values past the x=c-d element.
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ee9257 No.10658
>>10657
Let's Work AA, and all Anons who want to help tonight.
Here's my Prayer and Blessing for our work tonight, Lads.
//
God, thanks for Math, and friends to work on it with. In Faith, we begin our work tonight, 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 of us personally. Let your will prevail. And let our work bear fruit. May we be a Pepe plague on the Evil System.
Amen.
//
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752b86 No.10659
>>10658
I've just finished adding a test for n and x with +/- 1 instead of just looking for a in binary. Don't get your hopes up because this could be an error and maybe I forgot to get rid of =1 (because that's one way all would pass but it wouldn't find an unknown). If you're looking for something to work on and you want to verify my output while I figure out what I did, maybe you could go through those same numbers you've been going through and look for n and x too.
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ee9257 No.10660
>>10659
Hello AA. I'm here studying your output. Looks promising!
>6518 had one of the tested unknowns appear at the end of (e,1) a[t] = BigN's Binary
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752b86 No.10661
>>10660
I figured out why it was outputting 100%: it was finding BigN in the BigN element, lol. False alarm as I thought. It might still be useful to look into if you don't have any other ideas that you haven't already worked through.
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752b86 No.10662
>>10660
>>10661
I've finished comparing just using the main four knowns vs adding in t+/-1 and also just looking for a+/-1 or also looking for n and x +/-1. The more important line is the second line of the output in each of these pictures. It seems to me like all this achieves is taking an incomplete idea and adding more and more calculations in the hopes that it'll eventually cover everything whereas it seems more likely that we just don't know what to look for where in order to get to 100% yet.
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ee9257 No.10663
AA. I think I have a new pattern worth investigating. Check this out.
There is a different way that factors grow in (-f,1) and (e,1). Nobody has mentioned this yet. Here's an example for c1155.
a[t]1 = 33 = (100001)
a[t]9 = 161 10(100001) = 33 + 128
a[t]17 = 545 = 1000(100001) = 33+ 512 (na transform)
a[t]25 = 1185 = 10010(100001) = 33+128+1024
why always [t] + 8 to the next prime seed value? Is that a function of the 2^whatever squares?
This also happened for c6107.
Needs investigation. Could we have repeating (a) values every [t]= 8 intervals??
If so, we have 8 elements to check.
>>10651
>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
I think this is worth exploring. There is a different way that factors grow using binary. They ((may)) appear every 8 [t] values.
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752b86 No.10664
>>10663
>why always [t] + 8 to the next prime seed value? Is that a function of the 2^whatever squares?
Where a factor p appears in a[t], it also appears in a[t+p]. 128, 512 and 1024 are all divisible by 8.
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752b86 No.10665
>>10663
>>10664
Oh wait but 8 wouldn't be a factor of 33+128 etc would it? I'm not sure I really understand so give me a minute.
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ee9257 No.10666
>>10665
>>10664
I'm proposing a completely new method of a[p+1-t] and a[t+p]
The binary tags grow with powers of 2^whatever + prime tag.
They occur at equidistant [t] values.
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752b86 No.10667
>>10666
Just looking at it as it is right now, firstly, it seems like it's most likely coincidental that a bunch of zeroes with a one at the start would be added to a number like that so you're going to need to check at least three or four more examples, and secondly, I don't see how we'd use that since if we're dealing with a number we haven't already found a for we'd have to know to take off a bunch of it. Could you look at this with a few other c values? I'm currently working on adding q to the thing I've been posting about (although I already know it's not going to work completely because I tested 12 elements with a, n and x on c=1234567 and it didn't find anything, although it did manage to find n for one of the other smaller cs I've been testing).
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ee9257 No.10668
>>10667
AA, I think I've earned the privilege of firmly requesting an exploration into this idea.
Would you please check any semiprime c value to see if the prime (a) value is encoded at equal [t] distances in (-f,1) or (e,1)?
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ee9257 No.10669
>>10668
>>10667
In binary lol.
It should be 8 [t] values apart.
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752b86 No.10670
>>10668
Like the last time you had an idea I didn't understand, I can't look into it without you looking into it more first. I showed with all of my pictures above that semiprimes are the most likely not to have an a value show up in binary to begin with, let alone 8 t values away.
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ee9257 No.10671
>>10670
>Like the last time you had an idea I didn't understand, I can't look into it without you looking into it more first.
Ok, Let's run some tests and look them over together.
Let's do c6107 from a[1] to a[Nc]
for (-f,1) and (e,1)
Let's generate every element from a[1] to a[3015]
I'm looking for how many times (a) 31 (011111) OR (a+1) 32 (100000) shows up in the (-f,1) a[t] OR (e,1) a[t] values.
And if there is an equidistant pattern in [t] values???
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752b86 No.10672
Adding in the q calculation actually seems to lower the accuracy rate slightly.
>>10671
That's going to take a while for me to code.
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ee9257 No.10673
>>10672
AA. No worries, I gotta get some sleep. You too if you need it friend.
Key idea:
the prime remains at the end of the binary tag while the powers of 2^whatever increase.
2^2 + prime
2^10 + prime
2^18 + prime
2^whatever + prime
It's a completely different type of factor chain, but it fits right in with the normal factor chain we currently understand.
Same principle, just powers of 2^whatever + prime. AND it fits right in with normal factor chain too.
I could be wrong. And fine if I am. Just take a look.
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ee9257 No.10674
>>10672
We now have two factor chains to examine.
Decimal.
Binary.
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752b86 No.10675
>>10673
>>10674
For 6107, the gaps add up to a, which is indicative of a[t+p] and a[p+1-t] (since there's one subdivision within that gap of a, and 6107 is a semiprime). What you found with 1155 is the exact same thing except 1155 has way more factors so the gaps of 8 are actually gaps of 1+2+2+2+1. In picture 2 I took 6107's a away from each a[t], and it isn't powers of two (even if it was, how do you reconcile 33+128+1024 in the 1155 example? The others don't have two powers of two added, they only have one). The third picture shows an example of one of the 30% of a values that shows up but doesn't show up at one of the known elements (so the 80% minus the 50%). And, like I said already, this was never going to work because, as shown in the last picture, not all semiprimes show up in a[t].
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752b86 No.10676
>>10674
I don't understand why I keep having to tell you to test on more than one a value and you just refuse to do it. I'm not doing your work for you. Finding a useful pattern doesn't mean you've "earned the privilege" to make me do all of the work, especially when you haven't even done enough work to justify an idea in the first place. I'll put time and effort into your ideas (and anyone else's) if I think they're worth looking into based on my own judgement. Telling me what to do is not teamwork. I get that you haven't been programming for years like I have but that's no excuse to just expect me to do all of your work for you.
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3e7549 No.10677
>>10676
>>10675
AA, thanks for checking. And your point is fair. I will test more values for my ideas. And I don't expect you to do my work for me. I got too excited, and I apologize. Please forgive me.
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752b86 No.10678
>>10677
As long as I don't have to keep pointing it out and you follow through it won't be an issue.
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3e7549 No.10679
>>10678
Sounds good AA.
Here's some brainstorming. No requests for work lol.
Based on your research, the a[t] values in the 4 main elements we've been checking are turning up prime answers about 50%-80% of the time, and less for semi-primes, around 30%.
>>10651
>Here's the problem though: it works terribly the lower the number of factors. It barely ever works with semiprimes, for example
>>10657
it'll be impossible to bring that 50% to 100% if we can't bring the 80% to 100%.
It's highly interesting to me that VQC gave us two compound c values to help us see the binary pattern.
c1155 = 3 * 5 * 7 * 11
c1365 = 3 * 5 * 7 * 13
Maybe this is where c' = q *c comes in? I wonder if adding additional factors would bump the success rate up.
If we use the q primes and create a new c' value, would that give us more chances to find the prime value we're looking for in (-f,1) and (e,1)?
He kept talking about forcing row 1 to give us the information we need.
Trying to think about it from an algorithm perspective:
What if the algorithm loops through the 4 main elements we're searching by adding in the q primes one at a time, and just doing a simple recalculation for
(N-1), (N), (N-1)c, and (Nc)?
That's all I got at the moment. Anyhow, I'll keep looking for patterns and thinking.
>>10657
It sure would be cool if we can just find that one element that works.
Wasn't there a "shadow c" element (or something like that?)
I'm going to dig through the old breads to find it.
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3e7549 No.10680
Here's that 'shadow c' idea. It was back in RSA #13.
>>6830
>The different factors (n-1) in -f, and n in e, coupled with BigN in e AND BigN-1 in -f as well as their 'shadow' partners where they exist at a[c+1-t] give us enough information to determine 1. Is the number prime 2. The value of x.
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3e7549 No.10681
>>6774
>Tomorrow we will go through where the product of BigN and c are found in (e,1) and where the other value of c is in (e,1) and what information that gives us.
>Then we will look at the key that is made by column -f with the locations of c in (-f,1) and how to find x for an and a(n-1).
Another tasty crumb from RSA #13.
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7b2ede No.10682
>>10655
>>10651
>>10652
Lemma 1. The binary ending of a value is determined by its value modulo the corresponding power of two.
Lemma 2. The binary beginning of a value is determined by integer division by two for the amount of binary digits to remove.
By lemma 1, searching for values which contain a in their binary endings is equivalent to searching for numbers which are a away from the closest power of two larger than a.
Example: 61 is 5 away from a multiple of 2^3, so it ends in 5 in binary.
Assuming a test of + or - 1 with 4 unknowns across 4+ elements (3 * 4 * 4) = 48+ random relatively-even distributed tests, this would account for the following accuracy rates at AA's scale of (2^16 - 2^15):
By the rule of thumb that the bits in a factor of a semiprime are the bits of that semiprime divided by two, the average 2^16/2^15 sized semiprime factor would be 7 to 8 bits.
Averaging the amount of AA's tests (48) divided over 2^7 and 2^8, we reach a 28% accuracy rate:
((48 / (2^7) + (48 / 2^8))/2 = 28%
Since some solution values will be lower than 7-bits, this accounts for the remaining 2%.
For tri-primes, the average amount of bits would be 5-6.
48 / (2^6) = 75%
Assuming solution values of a much smaller size are counted, this is consistent with an 80% accuracy rate under AA's tests.
Overall, checking 4+ elements for 4*(+-1) solution values in the binary endings has accuracy values consistent with a completely random search.
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68468f No.10683
>>10682
Some of this was a little hard to understand, but I don't think you're talking about the same type of accuracy rate as I am. How does that calculation correlate with finding a in binary at the end of BigN/-1 or c*BigN/-1 in binary?
>>10679
>Maybe this is where c' = q *c comes in? I wonder if adding additional factors would bump the success rate up.
I already tested that. As shown >>10672 here, it actually makes the accuracy rate go down slightly, at least the way I tested it.
>>10680
That is another known so I'll add that to the known elements we're testing and see what happens. I also had the idea of trying the binary in reverse so I'll see what that does too.
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3e7549 No.10684
>>10683
Hello AA.
I double checked in Grid Patterns before posting, and I'm wondering how the shadow elements are calculated. This may be a dumb question, but I'm honestly not getting it yet.
Are they shadows of (N-1)c and (Nc) ? That seems correct to me.
a[c+1-t] makes perfect sense. But what t value is used to calculate?
The [t] values from (N-1)c and (Nc) ?
I'm crunching numbers and pulling element records now. How are you currently calculating the shadow c elements?
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68468f No.10685
>>10684
See >>7627
By the way, from 50,000-150,000 using everything we've talked about so far it's at 98.5% now. Still isn't really a solution but I'm going to try it on the RSA challenge numbers again for a laugh (I'm not holding my breath, all the current fails are semiprimes still). If we manage one of those we can probably coerce Chris out of hiding.
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3e7549 No.10686
>>10685
Thanks AA!
>By the way, from 50,000-150,000 using everything we've talked about so far it's at 98.5% now.
Nice! Did the shadow c elements add any additional binary tag matches?
Here's my WIP for tonight:
Trying combos of existing ideas.
I tried multiplying the key (-f,1) and (e,1) elements together, with good results for c6107.
Here's what I have so far, just plugging along with my calculator and binary converter.
Big idea: Even when the matching (-f,1) and (e,1) values are multiplied together, the correct binary tag (< d) still shows up!! In both examples below, (a+1) shows up in the correct location.
This was the aan(n-1) concept, multiplying the a[t] values together from (-f,1) and (e,1). Here's the calcs:
a[(-f na transform)] * a[(e na transform)] = 2975 * 2976 = 8853600
8853600 in binary = 100001110001100001(100000) << binary tag = 32 = (a+1)
a[(N-1)c] * a[(Nc)] = 18168325 * 18174432 = 330198987266400
330198987266400 in binary =1001011000101000001110001010101110101100101(100000) <<binary tag = 32 = (a+1)
Not proof of concept, but definitely cool. I'll keep exploring.
>>10685
AA, did adding the shadow c elements improve your results in any way? I've got the x / t location calcs figured out with your help, thank you.
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68468f No.10687
>>10686
I haven't done enough analysis to be able to put a number to it but it seems like it carries as many successes as the others do. I would also include a[t]=c-BigN+1 etc (rather than just the version multiplied by c) but that's already covered by checking BigN's t+1 (since that's where it shows up). We're technically already checking that.
>aan(n-1)
Dude I wondered why you had that on your spreadsheet. That makes perfect sense since ccN(N-1) is basically the same thing and it'll be divisible by a and b etc. I'll add that now.
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3e7549 No.10688
>>10687
Sweet. Let me know how your analysis turns out. I'm very curious to see what caused the huge bump in successes!!
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68468f No.10689
>>10688
Here's the output for 50000-150000, 150k-250k and 250k-350k. The success rate decreases slightly as you go up, meaning this doesn't scale and we haven't found the universal thing yet. The multiple successes thing will be eating up most of the data but I'm pretty sure based on the rest of them that they're all relatively equally proportional. I'm pretty sure the reverse binary thing doesn't do anything but I left it in there anyway.
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3e7549 No.10690
>>10689
>99.36% had a factor
>98.77% had a factor
>98.43% had a factor
AA, holy shit dude, these are great results!
It may not scale yet, but we are on the correct path finally.
I have a new idea hahaha! Here it is:
Let's use the factor tree idea on the [t] values for our 6 known elements.
So we need the [t] values for each element.
[t](-f na tansform)
[t](e na transform)
[t](N-1)C
[t](Nc)
[t]Shadow(N-1)c
[t]Shadow (Nc)
let's gather up all the [t] values and factor tree the shit out of them. What should pop out is a GCD/lowest common multiple that we can easily check/multiply with simple calcs. Like iterating, but better. What factor do the [t] values have in common with solution [t] values?
VQC kept saying this should give us t or x, so I've been re-thinking strategies to achieve that. It could be his usual disinfo though. Who knows, this is fun anyways, so let's just keep working and thinking through all the key concepts.
Think it over and let me know if the idea has merit. I'll be able to work in about 6-7 hours.
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3e064a No.10691
>>10690
Did you mean a[t]? I almost thought you meant put the t values into the factor tree. This sounds like a completely different method since it doesn't rely on the bit iteration thing, plus using GCDs between c*something and c is going to output c (although a GCD between d and e that's greater than one is a). I guess if you think it's worth looking into, if you wanted to go through a few examples and post them here it wouldn't be the biggest waste of time ever.
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3e7549 No.10692
>>10691
Dude I'm serious.
I'll put all the key element [t] values into the factor tree method.
Why not?
They share common factors as well.
Also, we're missing a key element: a[1]
a[1] has often contained the binary solution in my small examples. It would make sense at a conceptual level. First appearance of the prime in a[1]?
Need to test.
I'll have time to work later, just checking in to update and comment now.
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3e7549 No.10693
Shit, maybe we should put x into the binary search too!
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3e7549 No.10694
>>10691
>This sounds like a completely different method since it doesn't rely on the bit iteration thing
Maybe it works for x too! Need to test. Just brainstorming over here.
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d19721 No.10695
>>10692
a[1] is almost always going to be too small surely.
>>10693
I already have been, if you look at my output screenshots ("including n and x"). I haven't tried t though.
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3e7549 No.10696
>>10695
Ok. Here to work. AA, you around now?
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d19721 No.10697
>>10696
Yip, just about to put t into the list of unknowns. If you didn't have any other ideas I think it would be useful to take maybe five or six cs and go through the tree idea you had.
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3e7549 No.10698
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d19721 No.10699
>>10698
t added an extra 0.32% to 50k-150k. It feels like I'm just throwing shit at the wall and seeing what sticks but I might as well get a list of all the unknowns together and shove them all in there. Any progress on the trees? I'd imagine you're doing them by hand.
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d19721 No.10700
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3e7549 No.10701
So I'm Making a [t] map.
Maps are good. Help us find our way.
Here's the map of key elements, in proper order.
for c6107
(-f,1)
a[1] = -65
a[24] = a(n-1) = 1085
a[39] = (-f na transform) = 2975
a[59] = b(n-1) = 6895
a[3014] (N-1)c = 18168325
a[3094] (c+d+1)
(e,1)
a[1]
a[24] = (an) = 1116
a[39] = (e na transform) = 2976
a[60] = (bn) = 7092
a[3015] = (Nc) =
a[3095] = (c+d+1)
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3e7549 No.10702
>>10701
Left some unknowns on purpose. Let's see who can follow.
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3e7549 No.10703
>>10700
Whoops!
Faggot.
This is working.
So let's figure out why the other 0.25% aren't working
Duh. Get back to work AA. You're clearly slacking off! It's all your fault!!!
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d19721 No.10704
>>10703
I might have to start from scratch for this. I'm just getting a list of all the knowns to check and all the unknowns to check for. I don't think this is the way to figure it out but fuck it.
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5be6c4 No.10705
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d19721 No.10706
>>10705
You've been away for a while. I'm still coding the thing I mentioned in my last post and I'm nowhere near finished if you want some type of sign that something's happening.
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5be6c4 No.10707
>>10706
I just go where the Universe takes me.
Was needed in the meme-o-sphere for a sec.
As for a habbening sign, sure!
I love those!
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d19721 No.10708
>>10707
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.
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5be6c4 No.10709
YouTube embed. Click thumbnail to play. >>10708
I like it!
Let's get to know them unkowns!
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3e7549 No.10710
>>10708
>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.
Right on AA!
I've got the [t] values idea for the key elements all written out, and I'm factoring them for c6107. I've also checked the [t] binary endings for any pattern that would point to an unknown. A couple of coincidences, but no underlying patterns so far.
Oh well.
The binary tags method is working really well.
I wonder what causes the failures? Are they a different type of integer perhaps?
Any update on your new test, AA?
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fc8aa7 No.10711
>>10710
>I wonder what causes the failures? Are they a different type of integer perhaps?
Semiprimes (not all semiprimes fail but all fails I've looked at were semiprimes).
>Any update on your new test, AA?
3429 lines of code (mostly ArrayList adds), probably several hundred to go. I'm not doing this with legibility in mind. When it's done I'll post about it. Either it'll find the solution or it won't, and if it doesn't, that means we aren't looking for a variable that appears in another variable, rather we're looking for another concept.
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3e7549 No.10712
>>10711
> Either it'll find the solution or it won't, and if it doesn't, that means we aren't looking for a variable that appears in another variable, rather we're looking for another concept.
Well, it could also mean we're missing a key element. Did you add in a[1] to your tests? For c1155 and c1365 the solution was right there in a[1]
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fc8aa7 No.10713
>>10712
The solution was there because 1155 and 1365 are divisible by 3, 5 and 7. a[t] is way too small. Those numbers get picked up further down anyway. I might add it at the end but I would be incredibly surprised if that was it.
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3e7549 No.10714
>>10711
This binary tag method works.
It's a trip how good it works.
Like your binaural beats post. >>10364
Why does it work? Who knows. It works.
Let's refine.
a[1] is key.
First position in the factor chain.
We're missing a key element to get to 100%
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3e7549 No.10715
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fc8aa7 No.10716
>>10714
>Why does it work? Who knows. It works.
Because consciousness isn't physical and part of it exists at a level where time doesn't exist.
>>10715
Did you read the post you're replying to? "I might add it at the end".
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3e7549 No.10717
>>10713
To the key elements search, I mean.
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3e7549 No.10718
>>10716
>Lol. missed that AA. Sorry man. Reading fast and too excited. Your results are pretty amazing, as you said here:
>>10651
>That means, unless I've got something wrong, we can find one of the factors of half of all numbers up to at least 1,000,000 just by calculating a square root, doing a few multiplications and additions and then counting the number of binary digits in d.
I need to do some binaural meditation now and SLOW DOWN. Thanks for pointing that out so kindly.
Honestly, I'm just stoked. This is fun.
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fc8aa7 No.10719
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3e7549 No.10720
See? Too fast your mind goes, VA. Calm is from the Force.
>Can't get my quotes correct lol.
I'm making the choice to take many deep breaths over here.
And looking for the other key element to close the gap. We're only missing one i think.
a[1]
Could be wrong!!
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fc8aa7 No.10721
>>10720
I've got a few more than that actually. I went through the grid patterns thread.
Knowns:
>root of d
>a[t]=BigN /-1
>a[t]=c*BigN /-1
>a[t]=c-BigN+1 /+2
>a[t]=c(c-BigN+1) /+2
>ccN(N-1)
>x+x=2f+1
>x+x=2d+1
>x+x=BigN/-1
>x+x=c*BigN/-1
>x+x=c-BigN+1/+2
>x+x=c(c-BigN+1) /+2
>(0,n) a=1 b=cc
>(0,n) a=c b=c
Unknowns:
>(e,n) where n isn't BigN
>a[t]=an
>a[t]=a(n-1)
>a[t]=bn
>a[t]=b(n-1)
>x+x=an/-1
>x+x=bn/-1
>(0,n) a=aa b=bb
>(0,n) a,abb
>(0,n) b,aab
>(1,1) d=aabbn
>(0,1) a=aabbn
>(e,n) a=a-1 b=b-1
This is why it's taking me quite a while. Did you make any progress with the trees?
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3e7549 No.10722
>>10721
Did the work, no clear results. Found factors for a(n-1) and (an). Inconclusive, especially since I'm working one c value at a time old school style.
That's ok, my method has advantages, which was kind of you to point out.
>>10651
>you probably wouldn't have found it if you were as programming-focused as the rest of us.
>>10710
>A couple of coincidences, but no underlying patterns.
Not like the binary tags for (a)
It's the best we've done so far.
Let's refine. Let's get to 100%
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3e7549 No.10724
>>10721
Faggot!
a[1] isn't in your list lol?
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fc8aa7 No.10725
>>10724
Might just leave it off indefinitely to keep you complaining lmao
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5be6c4 No.10726
>>10725
But like… cooooould you post it anyway?
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3e7549 No.10727
>>10725
"Mwah got all the elements"
Bantz and Shitz.
Back to work faggot.
Solve this.
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fc8aa7 No.10728
>>10727
I'm just putting checks in place for a=1 and dividing by 0 and then I can test.
>>10726
Post it? I think you read that conversation wrong.
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3e7549 No.10729
>>10728
So did you add a[1]?
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fc8aa7 No.10730
>>10729
Good grief, you're like a dog on heat with this a[1] stuff. I'm not even finished dealing with dividing by zero errors yet.
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5be6c4 No.10731
>>10730
Okay, but like, it's totally coming, right?
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fc8aa7 No.10732
>>10731
If I compare every unknown and every known, it takes about 13 seconds to work with the number 51. I've commented out a whole bunch of it and managed to get it to look at 559 in 1.6 seconds. I put in 50191, which didn't have a factor found with the previous version of the code, and it says it found a factor 259 different ways, although I haven't double checked by actually showing the calculations yet. I'm at the point now where the code runs and doesn't have any errors. Adding a[1] is going to make is run even slower than it already does so I'll do that after I run a few more tests. I've been either coding, sleeping or eating for I think about the last 30 hours or so so I'm going to let it run on a wider range of numbers for a while and take a fucking break, and then I'll put a[1] in (even though there's not a great deal of logic behind adding it in since, like I said, it's too small to be useful, and it's also arbitrary to a degree, but it'll stop VA from feeling the need to repeat himself).
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fc8aa7 No.10733
All cs between 50k and 60k had a factor found. Don't get your hopes up yet. I haven't actually seen any numbers so I don't know if this is it. This also took about 40m to run, so I have to optimize it significantly before I can see if the 100% number scales or if it just happens to work on all of the small numbers up until a point. In order to do that I'm going to go through the output that shows how many of each were factored by which pairing of knowns and unknowns (as shown in the screenshot - I think the numbers higher than the number of cs are from cs with more than one solution) and isolate the ones with the most hits. Currently it has to do O(log n) where n is the length of c in bits thousands of times per c, and it takes about 600ms per c (I currently don't have a cap on the size of the bit sequence to check since I'm not just checking for a +/- 1 so it's probably still unusable for big numbers). I'm hoping to bring that thousands number down to maybe less than 100. Then I'll be able to check 50k-150k, 150k-250k and 250k-350k like I have been. If it's 100% success for all of those, I'll try the RSA challenge numbers. If not, I'll take note of the specific numbers that don't work and try them with every known against every unknown (12-13 seconds per c). If that doesn't work, we don't have the solution.
But before I do that I'll add a[1], even though we're currently working with a potential 100% success rate
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fc8aa7 No.10734
Unless I accidentally allowed a=1 b=c (although I have a lot of checks in place to prevent that), we now have 100% accuracy for all cs up to 350k. I'm writing up a new program that actually outputs the factors to make sure it's actually working and I'm not hyping up nothing. I'll be back with results as soon as that's done.
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fc8aa7 No.10735
The adapted code I have right now doesn't factor the RSA challenge numbers. It currently only tests 7 unknowns against 36 knowns, whereas the code I've been posting screenshots of tests 7 unknowns against 212 knowns (but takes significantly longer to run). When I wake up I'll add a bunch more knowns in and also maybe some more unknowns and see if that changes anything. If that doesn't help, it means we're missing a pattern. If it does, it means there's a pattern somewhere in this mountain of data.
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5cd15b No.10736
>>10733
>>10734
>we now have 100% accuracy for all cs up to 350k.
Wow! Thanks AA for all your work.
>>10735
>The adapted code I have right now doesn't factor the RSA challenge numbers
>If that doesn't help, it means we're missing a pattern. If it does, it means there's a pattern somewhere in this mountain of data.
I'll be happy to look for more patterns after my work day is finished up. Just checking in!
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7b2ede No.10737
>>10721
How many iterations is that?
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5be6c4 No.10738
>>10737
Pfffft.
You've got fingers.
-COUNT 'EM!-
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fc8aa7 No.10739
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fc8aa7 No.10740
I've started testing 66 unknowns against 217 knowns for the RSA challenge numbers. This is going to take all day (maybe even tomorrow), but once it's done, we'll know if we need more help from Chris or not.
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5cd15b No.10741
>>10740
Awesome. Fingers crossed! It will be very interesting to see which (if any) of the knowns consistently delivers the correct match.
So the 217 knowns go through the same < d and binary tag process?
And each of those is then compared against the 66 unknowns?
Wew lad. Lots of calcs.
Can you post some detailed results from some of the earlier tests, showing which knowns gave the correct match?
There's also another key element I mentioned here.
>>10656
It's had several (a) binary tag matches for different c values. I don't know what to call the element, so here's where it's located.
It's the element at a[t](-f,1) immediately below a[t]=(N-1)c
so it shares the same [t] value with a[t]=(Nc) in (e,1)
like a neat little triangle of elements
for c6017
(-f,1) [t]=3104 a[t]=(N-1)c a = 18163325 binary tag = (000101) = 5 << not a match
(-f,1) [t]=3015 a[t]= ?? a = 18180383 binary tag = (011111) = 31 << (a) is a match
(e,1) [t]=3015 a[t]=(Nc) a = 18174432 binary tag = (100000) = 32 << (a+1) is a match
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fc8aa7 No.10742
>>10741
319 of 14322 tests are finished (all of the tests for n and most of the tests for n-1). Once I'm done with all of n-1 I'm going to do this programmatically instead of by hand so I can leave it running overnight.
>Can you post some detailed results from some of the earlier tests, showing which knowns gave the correct match?
If you look >>10734 here you'll see that there are 1388 different types of matches for whatever group I was testing then, and that wasn't everything I'm testing now. I could dump one of the sets of them if you want but that's a lot of fucking data (and I think a few a=1 b=c elements were getting in, although I'm pretty sure it was still 100% up to 350k).
>It's the element at a[t](-f,1) immediately below a[t]=(N-1)c
I'm testing for t +/- 1 for each known element, so I've got that one.
By the way, I have an idea for getting Chris' attention. Since this seems to be the pattern he was hinting at, he might give us more information if we make it known to him that we've been looking into it. Usually when I fish on /qr/ I use pictures of VQC-related diagrams etc. I was thinking it would be a good idea to get a bunch of pictures that show the binary chunk thing (like enough for 10-20 examples maybe). I was thinking the pictures would maybe look something like this:
(e,n) = {whatever}
…………………………..(e,n) a = (101110101)
(e,1) a[t]=BigN a = 11000110(101110101)
What do you think about that? You think you could put a bunch of those together (if you think it's a good idea anyway)? It's 5:33am in London right now. It is a weekday, so it's questionable whether he'll be online, but maybe if we're lucky he'll have a quick browse of /qr/ with breakfast or something.
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5cd15b No.10743
>>10742
I like your idea. I'll gather examples and have them ready for tomorrow. Let's plan a fishing expedition.
>>10675
I looked back over your data from the c6107 idea earlier, and something important popped out. (a+1) shows up in binary at repeating intervals of 19 and 13, which is pretty incredible considering that the solution (a) only shows up twice for semiprimes. Families of numbers indeed!!
This isn't a workable program idea (at least I think it isn't lacking a starting point, like using the knowns), but fun to think about from a conceptual standpoint:
Generate every a[t] value from a[1] to a[Nc] etc for (-f,1) and (e,1)
set search to < d in bits
Find the binary tags that match each other.
There should be a bunch of matches.
Should be (a) or (a+1)
P=NP lol.
I'll start getting some bait ready.
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fc8aa7 No.10744
Hopefully this doesn't take a week to run…
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85a279 No.10745
I ended up canning that above test because I figured out that it would probably take over a month to complete. I redid it for the smallest RSA challenge number and it couldn't be factored. It tried 31020 different combinations of knowns and unknowns using the binary thing (that's including q, and with no d size limit either). That one took about 14 hours to complete (I've got the other two of the three smallest RSA challenge numbers almost finished and it looks like they also aren't going to be factored). Even if I did this with the rest of the challenge numbers and it miraculously factored one of them, the fact is, if there's a single number that can't be factored, we haven't got the right method.
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17548b No.10746
>>10745
>if there's a single number that can't be factored, we haven't got the right method.
Bummer. Well, back to studying then. The results for smaller c values were pretty impressive.
I'm going to re-read all the recent crumbs again and look for some new ideas.
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17548b No.10747
>>10401
>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?
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85a279 No.10748
I've been running this for the last five hours or so. It'll stop when it finds the lowest number that can't be factored this way. So far it's successfully factored every number up to a million. This isn't super useful though since we know it will eventually find one that doesn't work.
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613cbb No.10749
>>10748
Hello AA. If you want to go fishing, let's just post the spreadsheet to /qr/. It incorporates every clue I could gather from VQC's recent hints.
Thinking on this:
>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
So it seems like we need to create the set from a[1] to a[t] = Nc and then reduce it? I'm scanning all the binary patterns looking for a different way to use what we found. Nothing yet.
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613cbb No.10750
Found some really good crumbs in RSA #15
AA, check these out.
VQC's id: 4fec81
>>8721
>>8722
>>8730
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b836b0 No.10751
>>10739
>Way too many
We have to know how this scales. What's the complexity of this, can you calculate it? (Big O otation)
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d5c896 No.10752
>>10751
Have you not read all the posts in this thread? It's O(log n) where n is the length of c in bits or whatever, just with a ton of different tests of different combinations of knowns and unknowns looking for the binary version of an unknown appearing as a chunk at the end of a known in binary (because we don't know what we're actually supposed to do but this works very well up to a point). All of what I just said has been repeated several times throughout this thread, so if I haven't been explaining it clearly enough let me know what you aren't understanding.
>>10750
All that tells me is to try qc and to look for BigN-n, and I've been doing both of those things. Was there something else about those posts that you thought was useful that I didn't pick up on?
>>10749
Like I said >>10651 here, there are a lot of other concepts we haven't been taking into account. It's just that this binary chunk thing works waaay too often to be a wild goose chase, and personally I have no idea how you'd turn this into anything related to a search space algorithm without it being redundant (like if you looked for a at the end of a[t] in binary and used that with a[t+p] or something to find n it would be redundant because you'd already know a, plus it would add a gcd calculation in and while it's the same time complexity (kinda) it seems like it would potentially make it take longer than Chris described). Also I stopped that thing I was doing looking for the lowest number that doesn't work because my computer was overheating but it got to about two million. All numbers up to two million can be factored in O(log n) time with this method. I'll start it up again soon.
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613cbb No.10753
>>10752
>Was there something else about those posts that you thought was useful that I didn't pick up on?
Just looking for something we've missed. And feeling all sad that the RSA numbers didn't factor lol.
>there are a lot of other concepts we haven't been taking into account. It's just that this binary chunk thing works waaay too often to be a wild goose chase
Yup. Ok, so we have a solid method, and we're missing a key piece. Glad that the hard data of numbers up to 2M is still showing 100% success rate.
>my computer was overheating but it got to about two million.
Bwahahaha!! Put that thang to work till it burns up.
AA, I'd like to review the detailed output from a few smaller c values. I'm very curious to see which of the knowns are finding the solution. Shit, just post the detailed output from one factorization. I'll comb through it. Would you please post a couple?
It seems to me that your programming skills can also write something that analyzes the successes to help us arrive at a clearer understanding of what knows have the correct binary tag. No requests for work though ;)
Overall, glad that the concept is still delivering solid results. Let's sift the data and find what's actually working to provide the matches.
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d5c896 No.10754
>>10753
It's different for different numbers in a way that doesn't show a super clear pattern. It's always one of the six elements based on BigN, sometimes t +/- 1, and it's usually a or n including +/- 1 that shows up, but also sometimes x, bn, or (0,n) a=aa b=bb's i or j, just based on the output from this latest thing (every combination seems to have at least a couple hits, those are just the ones I remember appearing more often). So you wanted specific c values? I'll have to double check that I sorted the n=BigN that I missed in my old code but I can get a couple of those together. I'll probably have to put them on Pastebin since there'll be a lot of hits, especially for smaller cs.
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613cbb No.10755
>>10752
I swear to Jesus (very serious indeed, for me to say) that (a) or (a+1) repeats at regular intervals all throughout (-f,1) and (e,1).
However!!!
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.
Hidden but right in front of us.
This is what I meant when I requested you to examine c6107.
>>10675
Your results actually proved my idea.
The binary equivalent of (a) or (a+1) shows up all throughout the factor chain, but ONLY in binary. You can't see it in decimal.
Like so for c1155:
a[t]1 = 33 = 100001
a[t]9 = 161 10100001 = 33 + 128 <<< is 33 a factor in decimal? No.
a[t]17 = 545 = 1000100001 = 33+ 512 (na transform) <<< is 33 a factor in decimal? No.
a[t]25 = 1185 = 10010100001 = 33+128+1024 <<< is 33 a factor in decimal. No.
But they are factors/prime remainders that repeat all through (-f,1) and (e,1)
New understanding of numbers and number families.
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d5c896 No.10756
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613cbb No.10757
>>10756
AA. No dude! Don't be flippant, please.
My idea is correct, and your output showed it.
As you have shown, the primes are encoded at the end of the binary tag up to c values of 2M.
Now I'm saying that the prime (a) or (a+1) value is encoded all throughout the factor chain for (-f,1) and (e,1). But ONLY in binary.
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d5c896 No.10758
>>10757
And I'm saying you need to test it on more than one c.
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d5c896 No.10759
>>10753
Here's c559. https://pastebin.com/if9UBRX2
How many other cs do you want, like, five or six maybe?
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613cbb No.10760
>>10759
Checked the pastebin file. All I see is successes. Holy shit, they appear in all the knowns.
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613cbb No.10761
>>10758
>And I'm saying you need to test it on more than one c.
Dude.
I've tested it on 3 c values, so does that count?
I almost want to scream at you, but I won't.
I am pattern hunting.
When I propose a new one, I've found a pattern to pursue.
That's it.
Help me check it.
FML I have to learn to program too. Tired of taking shit from you and everyone else. If I post something here, it's after much study, and seeing possible connections.
I've worked hard here too.
And sacrificed a lot to be here.
My Family Unit. Lost. In large part to Q and VQC.
Ex thinks I'm a fucking nut.
This is personal. Solving this is personal.
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613cbb No.10762
>>10761
So let's work fags.
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d5c896 No.10763
>>10761
So what do you have to say about the examples I went through >>10675 here that didn't follow the same pattern? Do you think I'm suggesting that you test lots of c values out of spite or something?
>>10760
That was what you were asking to see, wasn't it? That's all the known and unknown pairings where the unknown shows up at the end of the binary of the known (unless there are any a=1 b=cs that I missed but I don't think I did). There are also plenty of examples of the known/unknown pair not working out of course.
>>10759
Two more semiprimes
c6107 https://pastebin.com/WHTm8FFU
c44544211 https://pastebin.com/WghiY2cc
One with three prime factors, c122561863 - https://pastebin.com/ykwW4ipP
I was going to do a few more composite numbers but they all had output that was bigger than Pastebin's limit of 512kb (c735 (3x5x7x7) has 24122 matches and c46189 (11x13x17x19) has 10552 matches).
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613cbb No.10764
>>10763
Every example shows that the binary tag repeats all through (-f,1) and (e,1).
The binary tag works. I'm adding onto our current understanding of it.
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d5c896 No.10765
>>10764
But a and a+1 don't show up for every number. They show up about 80% of the time for smaller numbers.
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5be6c4 No.10766
YouTube embed. Click thumbnail to play. >>10762
That's the spirit.
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613cbb No.10767
>>10763
AA, thanks for posting the examples. I studied them all. When I look at the results, I'm pretty astounded. This method really works.
>>10765
Do you mean in the 6 key elements? I'm seeing them repeat all through (-f,1) and (e,1) as well.
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effedd No.10768
>>10767
>Do you mean in the 6 key elements? I'm seeing them repeat all through (-f,1) and (e,1) as well.
No, I mean a and a+1 don't show up at the end of any a[t]s in (e,1) or (f,1) for at least 20% of numbers.
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5be6c4 No.10769
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cb419f No.10770
>>10768
Got some examples of when it doesn't?
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613cbb No.10771
>>10768
Hello AA, and all Anons. I've been thinking diligently, working to figure out a method that incorporates the ideas we've been thinking on.
1. the repeating nature of the factor tree in (e,1)
2. the binary tags for solution (a) that show up (80% of the time) at the end of the key elements in (e,1)
3. the repeating nature of other binary and decimal endings (in addition to the (a) value) throughout (-f,1) and (e,1)
4. and being able to find n or (n-1) using (an) a(n-1) and (bn) b(n-1) and the difference between the (-f,1) and (e,1) a[t] values.
I'm brainstorming out loud here, based on the patterns I've studied for c1155, c1365, and c6017. This is WIP.
Key idea: The binary tag patterns exist. Maybe what we're looking for isn't the (a) value, but the [t] distance between matching binary tags for multiple a[t] values, which would give us enough information to solve for n or (n-1). (possibly)
We could use our 6 key elements at the starting point:
(-f na transform)
(e na transform)
(N-1)c
(Nc)
Shadow (N-1)c
Shadow (Nc)
Then set the search < d in bits, with the above elements as starting points. Eliminate all a[t] values that don't have matches. Measure the [t] distance between them. Maybe we'll see the (n-1) or (n) values in the distance between a[t] values.
For c6107 the distance between the matching binary elements is (a+1)
For c1155, every 8 elements have the binary tag of 31 at the end.
There's some weird pattern going on here.
I'm pulling records and looking for a chain of binary tags for for smaller examples now.
Honest question: If we had to generate the set of a[t] values from a[1] to a[t]=Nc (as VQC has mentioned a few times) does that present a problem size wise? It seems that what we do with the set of a[t] after that determines if it's O(log n). Just wanted to ask AA and the other programming anons for their thoughts on this.
Working to come up with some good ideas.
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dd5c5b No.10772
>>10770
I found the 80% number >>10645 here and two examples of numbers that fall into the 20% are >>10675 here. Why do I always feel like nobody on this board actually reads the things I post?
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dd5c5b No.10773
>>10771
>If we had to generate the set of a[t] values from a[1] to a[t]=Nc (as VQC has mentioned a few times)
He didn't say we have to generate the set, he said >>10401 "the reduction algorithm runs across the set". Generating the entire set would be slower than a normal factorization algorithm because it would be O(n) to generate and O(n) to go through all of them one by one. We can create any element if we know e and t, and that's O(1), combined with the O(log n) of the bit search it stays O(log n). I explained that >>10575 here already.
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dd5c5b No.10774
>>10773
I meant to say I explained it here >>10602
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613cbb No.10775
>>10774
>>10772
>>10773
Thanks AA. I just re-read all the posts you pointed out.
Thinking through all the RSA #17 crumbs too, just studied them again.
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5be6c4 No.10776
YouTube embed. Click thumbnail to play. I'm glad the bread is active again.
It's like folks forgot that the discord was originally intended for quick thoughts, not-yet post-able works in progress, chat, info repository, and as a bunker if/when necessary.
Now we just need a representative of The Chris to show back up!
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bf44a3 No.10777
>>10776
Thanks Topol! I'm glad the board is active again too.
And honestly, I'd rather have open disputes about ideas and how we work together than the alternative: fake friendliness (where anons are actually resenting each other) with no good work getting done. Sometimes you gotta fight honestly and fairly. I may come across as a dick sometimes, and it's because I'm passionate about solving this problem. Part of this project is working as humans together. I'd rather be called out by you anons than have fake shit going on. I got pissed off. So what. I'm not lying or pretending to have the solution, I'm crunching numbers and looking for patterns.
That being said, Thank You AA for all your work. You are the man. And our work combined has moved the ball forward. I got pissed at you, you got pissed at me. It's all out on the table for everyone to see. So what. I'm ready to get some work done, and my mind has been working on ideas for the last 48 hours.
Let's work!!
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dd5c5b No.10778
I made a couple pictures the way I described the other day. I fished briefly a couple days ago obviously without success, but if he does show up out of the blue it would be a good idea to have a concise post to point him towards to show him our progress, and aside from only showing a, these pictures sum it up.
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5be6c4 No.10779
Have we played with Tetrahedral Numbers?
It's like 2D, but higher.
https://oeis.org/A000292
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5be6c4 No.10780
YouTube embed. Click thumbnail to play. Should be fun.
"Matrix Factorization"
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5be6c4 No.10781
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de856a No.10782
>>10772
Sorry. You and VA have done a lot of (great) work, reading and processing everything takes time. I'll re-read the stuff you guys have been doing :-)
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1ccb4e No.10785
>>10773
>He didn't say we have to generate the set, he said >>10401 "the reduction algorithm runs across the set".
Hmm. So we need to build a ladder somehow. Either with our key elements or some other way. Here's some WIP using a[1] as a starting point to "run across the set". I'll also check the binary values later tonight, just wanted to write this down while it was fresh in my mind.
Using the [t+n] formulas to jump [t] values in (e,1) looking for patterns. I'll have time to check more c values tonight.
Big idea: factors of (n) are also in the a values, so a[1] must contain factors of (n).
Needs more exploring, but here is one working example for the moment. Jumping [t] values by a[1]=12
c6107
a[1] = 12
a[12] = 276
a[24] = 1116 = (an) = 36 * 31
a[36] = 2532
a[48] = 4524
a[60] = 7092 = (bn) = 36 * 197
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68468f No.10786
YouTube embed. Click thumbnail to play. >>10785
It's an O(log n) algorithm that takes at least half of the search space away each step. We have two elements at t=1 and x=c-d, and we can calculate any element given e and t. We don't need to generate any elements until we run a calculation on a specific one. The elements we're potentially going to use are 1,2,3,4,5…x=c-d. We also don't need to do a calculation on all n elements. Do you understand or am I not explaining this well enough? Watch the start of this video if you don't get how O(log n) works.
>Big idea: factors of (n) are also in the a values, so a[1] must contain factors of (n).
Uh… no… what? Then a[1] would contain a factor of every other a[t] in (e,1). That doesn't make any sense.
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1ccb4e No.10787
>>10786
Hello AA. Thanks man. I do understand, just wracking my head and looking for any new ideas. Scratch that one lol.
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1ccb4e No.10788
>>10786
Hello Everybody. Ok, so we need a new game plan AA, and all anons.
The binary tags idea has given us our first O(log n) successes.
I'd like to sort through the "fails" and figure out why they failed.
I'd also like to explore multiples of the key elements. For example, VQC kept talking about 2*c 3*c 4*c etc. So why not expand the key elements to multiples of those key elements?
I have a feeling that there is something very obvious, right in front of us, like a simple jump or multiplication that will allow AA's binary search to work for 100% of examples.
Thoughts?
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1ccb4e No.10789
We're literally at 80% success rate now. So let's cook up some new ideas!
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4a4324 No.10790
>>10788
>>10789
80% is how often a or a+1 appear at the end of a[t] for any t between t=1 and x=c-d. It's based on all of the elements in (e,1) rather than just the knowns, so it isn't a feasible thing to check against big numbers (since x=c-d scales with c rather than with d, O(n) vs O(log n) again). If we use every known and every unknown, it's successful 100% of the time up to at least three million. I only saw one or two that required a q calculation. The thing I wrote stopped on a specific number around 3.1m but I then checked that number against some known elements I'd forgotten to include in the bigger test (based around x+x as staircase numbers for a known) and it was factored. That means I have a couple things to add to my bigger test before I can find the lowest number that can't be factored by this method.
In saying all of that, using a super large list of knowns against another super large list of unknowns clearly isn't the way we're meant to do this, not only because it takes a few hours to check everything for the challenge numbers (which still aren't factored obviously), but also because there's meant to only be four groups of numbers and one calculation. Checking every known against every unknown is just what I've been doing because we don't know which known to check for which unknown for every number. Logically it should be the goal to find the groups instead of just blindly trying everything and hoping for the best. But if we still can't factor every number after having tried every known against every unknown, that means there's more to this than just the variable pairings and that we've exhausted all the possibilities there (unless I missed something, which I don't think I did). There's a bunch more to what Chris has been saying that we haven't explored, but it's all still too vague in my opinion. I still think our best bet is to get him to come back here.
>VQC kept talking about 2*c 3*c 4*c etc. So why not expand the key elements to multiples of those key elements?
I think that was for the triangle method since multiplying it by 4 (I think) turned (x+n)(x+n) into 2(x+n)(x+n). We're already expanding into multiples using q, but then obviously q is specifically primes that end in 01 in binary.
>I have a feeling that there is something very obvious, right in front of us
Well arguably this binary tag thing has been very obvious and we just didn't see i[t] the whole time.
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1ccb4e No.10791
>>10790
AA. I've studied your post closely.
>Well arguably this binary tag thing has been very obvious and we just didn't see i[t] the whole time.
Exactly. Open minds. Just all of us thinking of new ideas for patterns, and then exploring them.
>I think that was for the triangle method since multiplying it by 4 (I think) turned (x+n)(x+n) into 2(x+n)(x+n).
Everything can scale / be multiplied. Maybe the binary tag shows up in multiples of the key elements.
>using a super large list of knowns against another super large list of unknowns clearly isn't the way we're meant to do this
Yup.
Exploring for connections.
>Logically it should be the goal to find the groups instead of just blindly trying everything and hoping for the best.
Yes. What are the groups? New levels of understanding are needed.
>I still think our best bet is to get him to come back here.
Ha. I kinda agree, and we've made significant progress with no new crumbs. Of course, I'd love him to come back and re-direct us along another path that seems to make no sense with what we're currently working on. Lol.
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5be6c4 No.10792
YouTube embed. Click thumbnail to play. >>10790
>>10791
If/when Chris does come back… no jumping down his throat, please.
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952bc3 No.10793
>>10792
What do we have to be mad at him for at the moment?
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5be6c4 No.10794
>>10793
Random old stuff and and not interacting as or as much as folks would like?
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af2552 No.10795
Hello Everyone. Re-reading all the crumbs again. Thinking on these ones in relation to the "missing formula" VQC mentioned.
>>10288
>The way that the function will be explained is to show the difference between highly divisible integers within the grid, and those that are less divisible… with the product of two primes, and primes themselves being the least frequent of all.
>>10289
>Hopefully the approach described, showing what happens as integers that are highly divisible are compared to less divisible integers and then primes, is the best way to explain the integer factoristation function using the Grid.
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8522fe No.10796
>>10401
>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?
>>10429
This 'missing formula' keeps floating to the top of my mind. It's been keeping me thinking about it all day. I really think it's something along these lines, since it solves the question above ^^
a' / (a' - a") = n
or
a' / (a' - a") = mod 0 (to eliminate all non-valid element pairs)
How this pairs with the binary search idea hasn't come to me yet. Any ideas
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57be62 No.10797
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effedd No.10798
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5be6c4 No.10799
>>10798
Something involving elliptical curves. GO!
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64f3ba No.10800
>>10799
Am I doing it right
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5be6c4 No.10801
>>10800
Somehow that's even worse than I could do… O_o
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5be6c4 No.10802
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55f869 No.10803
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dbb548 No.10804
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5be6c4 No.10805
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55f869 No.10806
Hello anons. I found this board reading the (very) old Q archives. I am not sure what to put here, I like to study maths when I get the chance, the Grid is a type of framework for modeling this problem I have never seen before. Do I understanding correctly that a Virtual Quantum Computer is an abstract object that comes to exist when an algorithm is run that solves the fundamental number-theoretic problem of computing discrete roots efficiently?
Attached is a proof that solving discrete roots of the function f(x) = x^2 mod c with c is from the Grid and x is the independent variable, is an equivalent problem to factoring c.
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55f869 No.10807
It is salient, I should add, that the study of an abstract computer with an infinite amount of quantum bits is reminiscent of my time in automata theory. Many times you are confronted with the problem of identifying or evaluating characteristics of an abstract computer (it was called Turing's machine).
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d4da6c No.10808
>>10807
>>10806
Read this thread >>6415 for an overview of the problem. Every time someone new has showed up over the last year or two, they've ignored all of the work we've been doing and they've just done their own thing, only to get frustrated when we don't help them with something that doesn't have any relevance to this grid, so if you have a genuine interest and plan to stick around, consider reading through all of our old threads in order to understand it all a bit better (there are only 17 of them). The very short version is that every pair of numbers that multiplies together to produce a number we want to factor has a big set of known variables and a big set of unknown variables, and according to this VQC guy there's a way to bridge the gap. By the way, since it seems you might be new to imageboards, it's not a great idea to use your actual name.>>10807
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5be6c4 No.10809
>>10808
And on the same token…
Plz no run folks off.
Fresh eyes might see something we're too tunnel visioned to notice.
Also, I concur, unless their name isn't actually Michel.
<;3=
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383ba5 No.10810
>>10808
I am familiarizing myself with the substance of the contributions here. I am hoping we can work together. However, I hope we can keep an open mind on what is related and not related. Using the example of Wiles, few people could have predicted he would have to write 50+ pages on modular forms to write his masterpiece. (I would like to be able to say I've understood it, I'm on the cohomology section).
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57be62 No.10811
>>10810
>>10809
>>10808
Lol Topol.
Well, welcome "Michel" and please read through the previous threads. We have almost 3 years working as a team, and have had many ups and downs together. We fight fair, and are as close to friends as you can be on imageboards. The learning curve is steep, but any honest question will be answered.
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57be62 No.10812
>>10808
AA, my energy was depleted after our last push for a solution. Just letting you know I'm thinking and brewing over here. No quitting, just resting and regrouping. Thanks for all your programming work.
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122c0a No.10813
I have been reading, I noticed the mention of Pell numbers being related to the cell (e, n) = (1, 1). It intrigued me to determine the exact formulae for this relationship.
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240e53 No.10814
f(e, n, t-1) = 2t(t+(e%2)) + e - (e >> 1) on the set Z with { n = 1}
I have changed the input parameter to t-1 since this formula starts at 0. The value of "b" can be taken by setting t_2 = t_1 + n. The extension to all n is trivial; it can be extended to any n by an integer division of the whole equation by n:
f(e, n, t-1) = (2t(t+(e%2)) + e - (e >> 1)) // n
f(8, 2, 2-1) = ((2*1(1+(0)) + 8 - (4)) // 2 = 3
f(8, 2, 2-1+2) = ((2*3(3+(0)) + 8 - (4)) // 2 = 11 (Example)
a[e, n, t-1] = (2t(t+(e%2)) + e - (e >> 1)) // n
d[e, n, t-1] = (2t(t+(e%2)) + e - (e >> 1)) // n + 2t + (e%2) - 2
b[e, n, t-1] = a[e, n, t-1+n]
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5be6c4 No.10815
>>10814
Waaaaait a minute…
Did you used to go by M?
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cd8eb2 No.10816
Does anyone have any questions before I move on to writing a function to study the whole grid cell over Z? An example of such a function which is concerned with all elements of a group is Wilson's theorem, which I have written proofs for in the past.
>>10815
It is to my understanding that names matter here. I have gone by M, but not on an image board.
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4a8f41 No.10817
>>10816
The stuff you've done so far is relevant to the grid, but it doesn't seem to be relevant to any of the stuff we've been doing here. I don't know where you're going with this so maybe you could explain why you're doing what you're doing first. Also this might sound weird but you sound suspiciously similar to someone else who used to post on this board who we all had an argument with before they left.
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69e8d9 No.10818
>>10385
>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.
I've been going over all the crumbs again.
Wave Function? Ok. So we're possibly looking for repeating patterns in (e,1) and (-f,1).
In binary.
(e,n) vs. (e,1)
I'll have time to explore later today. Just trying to find a new starting point, and this seems like the best clue so far.
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69e8d9 No.10819
>>10816
Hello M. Thanks for contributing.
Everyone is welcome, and everyone will be fact checked and asked to explain their ideas.
>>10817
>you sound suspiciously similar to someone else who used to post on this board who we all had an argument with before they left.
Yup.
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ac39e6 No.10820
>>10819
>>10817
> suspicious, similar
Is this going to cause a problem?
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4a8f41 No.10821
>>10820
If you aren't the person we're talking about, and if you explain your ideas properly, then there won't be a problem. So what's the relevance of what you're doing to the point of the grid?
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ac39e6 No.10822
>>10821
Assuming row 1 is the focus, the problem of integer factorization is expressed in the Grid as an unknown distance between elements in a cell. To attack this problem I first sought to identify a single formula for the pertinent values in an element, which I have posted above. Because this formula only mathematically describes a single value, the second step is to find a formula, equation or congruence that encapsulates a range of values in a cell.
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4a8f41 No.10823
>>10822
>an unknown distance between elements in a cell
An unknown distance between unknown elements. You'd need to know both. Does what you're talking about do that?
>To attack this problem I first sought to identify a single formula for the pertinent values in an element, which I have posted above
If you're talking about >>10814 this, you have to assume a t is valid, don't you? By the looks of it your equations are based around knowing t. In rows above n=1, t isn't every number from 1 upwards, so there are a lot of invalid ts. By the looks of it you were trying to express each element variable based on just e and t, so that would only work where n=1.
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ac39e6 No.10824
>>10823
You are right that it can't truly be a formula for every a value unless it marks a distinction between valid and invalid elements. Because every a is divided by n, this is the same distinction as restricting the domain to the integers (Z). Since the formula is valid for n=1, I will continue writing an encapsulating formula.
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4a8f41 No.10825
>>10824
Okay but what's this formula supposed to do? We have knowns and we want to find unknowns. Is this a function that takes in knowns and outputs unknowns, or is this something you're doing to try to understand the grid better? I'm really not following.
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ac39e6 No.10826
>>10823
>>10825
Is it not true that the element where a = an_a (a times n of a of c) must appear before the element where a = n_1 (large N)?
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4a8f41 No.10827
>>10826
You're using some weird terminology, especially considering you read enough of the threads to know that it's called BigN but then called it large N. Hopefully none of the terminology I'll be using is confusing to you. I'm pretty sure that's true, but BigN isn't usually divisible by n, and the unknown distance we're trying to find is based around the fact that a factor of an a value in (e,1) and (f,1) appears as the factor of every other a that factor apart in terms of t (or in other words a[t], a[t+n] etc). The unknown distance is n, and it's also a factor of the a values in both elements (the a[t]=BigN element not usually being one of those elements).
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ac39e6 No.10828
>>10827
Here is my progress so far.
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4a8f41 No.10829
>>10828
>Since factorization depends on certain values of a(t}, it is necessary to identify a formula containing information over the pertinent range of elements
>a formula for the total sum must be found
Why is that necessary? You also still haven't explained what you're trying to accomplish.
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5be6c4 No.10830
>>10821
Consider me neutral.
Whatever gets everyone working mo betta again, then I'm happy.
May the best (arbitrary-ish) team accomplish the goal most efficiently!
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4a8f41 No.10831
>>10830
Depends on how you define "everyone" since it's just us four at the moment.
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5be6c4 No.10832
>>10829
Goooooooozefraba, nigga. Relax.
How could you rephrase that less agressively?
>>10816
Names and shit: Helps keep track of thoughts, conversations, what nerds be workin' on, sorting, searching, etc etc. Not as relevant as it used to was, but it makes looking through the archives for something vaguely remembered easier.
Also so they know where to send the money, power, and women! Obviously.
And little friends to say hello to.
And moooooooountains of cocaine.
OMFG SO MUCH COCAINE.
What a silly quesiton.
#NerdMafia #SadButTrue #FuckBitchesMakeMoney #YUSoSerious
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4a8f41 No.10833
>>10832
How on earth was that aggressive?
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5be6c4 No.10834
>>10831
All the more reason to not be fussy at the newcomers.
Again, I'm neither on the side of Team The Board nor Team Discord.
If you need to pass notes through me, I might be able to arrange something.
Mmmmmmmmaaaaaaybe…
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ac39e6 No.10835
>>10829
>Why is that necessary?
A summation over a range containing the pertinent values contains information about those values.
>You also still haven't explained what you're trying to accomplish.
Attacking the problem. I will move on to products of the sequence and the possibility of a formula for the product of the a values up to a certain t. Here is an example of information contained in a sequence:
Letting c = ab where a and b are primes, supposing I had the value of the product of a sequence of numbers where a was included in the product but b was not included, gcd(c, product-sequence) = a.
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5be6c4 No.10836
>>10833
Don't worry about it.
Just be chiiiiiill, homie.
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4a8f41 No.10837
>>10835
As far as "attacking the problem" goes, there's nothing wrong with trying whatever ideas you come up with, and I absolutely encourage that, but the way you came across in this >>10816 post, asking us if we "have any questions" about your ideas, made it seem like you knew for sure that this was going to lead to a solution. All I'm trying to do here is provide information you may have overlooked, so hopefully you don't take any of this the wrong way, but based on your approach I have a feeling you may not have read everything that we've done yet. For example:
>Letting c = ab where a and b are primes, supposing I had the value of the product of a sequence of numbers where a was included in the product but b was not included, gcd(c, product-sequence) = a.
The only sequence of numbers we have in this grid that we could multiply together that would contain a without us needing to know any unknowns (that I can think of) is the a values in (e,1) from one t to another, which is the number sequence you're talking about. There are a few problems with that. Firstly, it's quite likely that it would also contain b. Secondly, if you wanted to avoid b, you'd have to know where b is, and if you knew where b was you wouldn't need to take this approach because you'd already have b. Thirdly, that would make it O(n), which is the same time complexity as a normal factorization algorithm. This is meant to be O(log n) where n is the length of c in bits.
If you want to do all of this stuff with sets and summations and so on, and you think it'll help you understand the grid a bit better, that's great and I encourage it, but from my perspective, I think it would benefit you to go through all of the information a little more closely to understand why none of us are going in this direction (not that I would necessarily know what would help you or lead to a solution, but I have been here for two and a half years), and I think it's very unlikely that a regular scholarly mathematical approach is going to lead to a solution.
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69ee0e No.10838
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eb4617 No.10839
>>10838
Thank you
>>10837
> the way you came across in this post
It was an offer to explain my ideas.
> Thirdly, that would make it O(n)
It requires n multiplications to evaluate the sequence naively. My idea to study the sequence is to identify a shorter analogue or formula. Consider the approximation to the pi function advanced using the Riemann Zeta function.
> I think it's very unlikely that a regular scholarly mathematical approach is going to lead to a solution.
What kind of approach do you suggest?
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55aeb5 No.10840
>>10839
>It was an offer to explain my ideas.
Apologies for the misinterpretation then.
>What kind of approach do you suggest?
Don't get me wrong, for all I know there could be a solution within the research you're doing, but the point the guy who figured out this method has been making since the start is that regular mathematical analysis obscures the pattern that's meant to be used in conjunction with this grid to factor numbers. It's meant to be a pattern we'd notice if we looked at the numbers in binary, and it's meant to work in O(log n) time where n is the length of c in bits. One potential pattern that fits (and seems to have a very high accuracy rate, although if it's right there's more to it we haven't figured out yet) is that within (e,1) and (f,1) we have a couple of directly calculable elements (including the a[t]=BigN one, which you mentioned in a previous post) where one of the unknown variables that would solve appears as a chunk at the end of the a[t] value in binary (e.g. we might be looking for n=10011101 and the a value in one of the known elements is 1111001110011101 (the chunk at the end of 11110011(10011101) allowing us to solve)). Everything we've found with that pattern is within this thread. The VQC guy hasn't been here since March so we haven't had any confirmation that this is the right direction, so it could easily be something else, but it fits most of the criteria for a solution, although it might not be. All I'm really saying is, if you're trying to figure out the method this internet weirdo is giving clues about, most of those clues rely on thinking outside of the box and not following a standard mathematical approach.
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eb4617 No.10841
>>10840
That is interesting. On the first read I would guess that it can probably be written as an element in the Galois field of 2^m.
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55aeb5 No.10842
>>10841
I think you missed the point, but I don't want to tell you not to look into something. I think I've said all I needed to anyway, so I'll leave you to study whatever you're studying.
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5be6c4 No.10843
>>10842
Sorta progress! Alright!
Don't abandon them, though. At least not entirely.
Another way to drive someone off is to have an inactive board, or one where they're being ignored or something.
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55aeb5 No.10844
>>10843
Well obviously I'm not leaving
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5aac22 No.10845
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a4418a No.10846
>>10842
The language of scholarly mathematics is a template to give form to an idea. It does not define your approach.
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3bb8b2 No.10847
>>10846
What I meant was that we're all looking for patterns that appear visually in binary or where one variable happens to equal another one somewhere else in the grid, whereas you're talking about Galois fields and Wilson's theorem. Like I've said several times, don't let me stop you, I just personally think you're wasting your time.
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5be6c4 No.10848
>>10847
We used to abuse notation all the time.
Was the Wild Wild West of MetaMatheMagics up in this Mothafucka!
Twas a much more flexible place, back then.
>>10847
>don't let me stop you, I just personally think you're wasting your time.
COME THE FUCK ON, MANG!
Don't be overly aggressive….
Don't be lukewarmly passive-aggressive…
And please don't tell folks they're wasting their time and just leaving it at that. There are still numbers to work with while we look for binary patterns that click into what we're attempting to do here.
Why do you think they're wasting their time with whatever point they're trying to get to with the concepts they're presenting?
Have you gone down that road before? If yes, where did it take you?
Why/How is Galois theory inapplicable to the bigger picture? Same with Wilson's?
----------—
Fo' reference:
https://en.wikipedia.org/wiki/Galois_theory
Topology? Neat!
https://en.wikipedia.org/wiki/Grothendieck%27s_Galois_theory
Wilson's Theorem:
https://en.wikipedia.org/wiki/Wilson%27s_theorem
Wilson's Prime:
https://en.wikipedia.org/wiki/Wilson_prime
Mathspazz would love this:
https://en.wikipedia.org/wiki/Tensor_product_of_fields
https://en.wikipedia.org/wiki/Field_(mathematics)
Finite fields: cryptography and coding theory
"A widely applied cryptographic routine uses the fact that discrete exponentiation, i.e., computing
an = a ⋅ a ⋅ … ⋅ a (n factors, for an integer n ≥ 1)
in a (large) finite field Fq can be performed much more efficiently than the discrete logarithm, which is the inverse operation, i.e., determining the solution n to an equation
an = b.
In elliptic curve cryptography, the multiplication in a finite field is replaced by the operation of adding points on an elliptic curve, i.e., the solutions of an equation of the form
y2 = x3 + ax + b.
Finite fields are also used in coding theory and combinatorics."
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55aeb5 No.10849
>>10848
>Why do you think they're wasting their time with whatever point they're trying to get to with the concepts they're presenting?
Did you read my posts? See >>10837 and >>10840
I don't know what the hell your deal is lately but everything you've said about my posts over the last few days has made out like you think I'm doing everything wrong.
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5be6c4 No.10850
>>10849
Depends on what you're talking about doing.
You're not facilitating the conversation very well.
I know your intentions are solid, but you keep trying to ram everyone into what you think THE hole is and you shoot down any concepts that immediately fit or at least lube the opening.
If someone new is a few steps behind, then take a few steps back.
Maybe the perspective shift will help you notice something if you're going in circles with whatever you're currently doing.
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55aeb5 No.10851
>>10850
>you keep trying to ram everyone into what you think THE hole is
First, I've said pretty much every post I've made "do whatever you want, this is just my opinion". I'm not forcing anyone to do anything, nor would I want to. Second, like I said when M turned up, every single new person to have come here in the last year or two has managed to wrap their head around a few of the concepts and then gone on to ignore the more important ones, and then they do their own thing for a while, don't get any closer to a solution, don't get any help from anyone else, and then give up in frustration. Do you want this one to quit too?
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5be6c4 No.10852
>>10851
Be nice if they hung out.
Your words just have an edge on them, especially when you feel something isn't worth your attention.
Have a lil' finesse. Keep their interest.
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55aeb5 No.10853
>>10852
>especially when you feel something isn't worth your attention
"Worth my attention"? They're the one looking into stuff. I'm telling them other people tried similar things and gave up.
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5be6c4 No.10854
>>10853
So hooooooow do we make this one different.
They're going down a path you've seen and you know where it doesn't go. How do you bridge them over?
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55aeb5 No.10855
>>10854
Literally by posting all the stuff I've been posting what the fuck?
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69ee0e No.10856
>> 10845
Very interesting concept.
You can extend the cell summation to any column (e,1).
odd e:
a_sum(t) = (2t^3 + 6t^2 + 7t + 3)/3 + (t+1)(e−1)/2
even e:
a_sum(t) = t(t+1)(2t+1)/3 + (t+1)(e/2)
This works for any t >= 1, called as a_sum(t-1).
Tests for (23,1) and (-134, 1) are attached. The "total" column is a running total and "sum a[t]" are these formulas.
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69ee0e No.10857
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5be6c4 No.10858
>>10855
Sure. Just be more chill about it.
I guess.
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cc0f45 No.10859
>>10847
With all due respect, waiting for numbers to explain themselves is not mathematics. I sincerely hope you reconsider your approach.
>>10856
I'm delighted to see you've completed the formula. I will show you an unfinished idea of mine, another formula which can also be expanded to all columns in a similar way. I am still working on its derivation (it requires some complex results to derive fully), and I suspect it may need an error term from the Riemann Zeta function to have a useful convergence. Here is an example of the formula's convergence:
a_prod(3-1) = 65
a_prod_approximation(3) = ~72.54
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9c6171 No.10860
>>10859
Hello AA, Topol, and M.
I'll do this nicely.
M, we all love mathematical approaches here. And your voice on the board is a breath of fresh air.
Like "OMG, somebody new likes this too!!"
"New Guy!!"
*as we're all tired the fuck out*
*after a recent big push for a workable solution pattern*
*and 2.5 years of working as a team*
That being said:
Show some respect.
It's earned by work.
AA has a right on this board to call anybody out. He's earned it. By being a badass.
You' re the new guy.
AA has level 6107.
You have level 145.
AA has done more work than anyone here on this board.
He built the WHOLE grid patterns Thread, and programs that I use.
PMA is a badass too. I use his program too.
We are a team, although we fight at times and piss each other off.
And we're all still here.
Working.
So explore any concepts you wan to, M.
But I have AA's back.
And PMA's back.
So, welcome M. Glad you're here man.
Let's work and explore.
Just realize you're dealing with a bunch of hard ass bad ass problem solvers, not mathfags in some dreary university setting.
Expect to get challenged.
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ffc69f No.10861
>>10859
And with all due respect to you, you've been here for a week, and you're following the exact same pattern of all the people who quit after a month that I keep talking about. If this leads somewhere I'll be more than happy to concede, but if it doesn't lead anywhere and you want any help with what the guy who started all of this has actually been telling us to do, I'll still be around somewhere. There's no need to be condescending.
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9c6171 No.10862
Just in case anyone forgot.
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9c6171 No.10863
>>10861
Yup. With you man. Since the first of Q.
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9c6171 No.10864
Damn. This needs to be re-said now.
Our Mission as a board:
We are here to help defeat evil
Using math, we will:
Throw the ring into Mount Doom.
Break the hidden things.
Unveil the Truth.
Crush the Devil Worshippers.
Free the children.
Help free our world from LIES and SECRECY.
Be the PR excuse for releasing a bunch of secrets.
And generally be celebrated lol. (can't lie, that would be cool.)
Let's refocus, Anons.
We have a job to do.
And a mission to accomplish.
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ffc69f No.10865
>>10863
Weird how we keep turning up within a minute of each other.
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9c6171 No.10866
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9c6171 No.10867
Let's Bantz and Shitz lads. Time for fun.
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9c6171 No.10868
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9c6171 No.10869
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9c6171 No.10870
>>10861
Grab your balls. You are president of this board. Topol can deal with it. He likes clear leadership anyhow.
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9c6171 No.10871
Stop apologizing is what I'm saying. I got your back. Own it.
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8d9a85 No.10872
>>10867
>>10868
>>10869
>>10870
>>10871
And Topol says I'm the one who needs to relax
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b13e3b No.10873
I've written C code to test the product formula. If anyone is interested I will post it. I derived the formula using integrals and results from the Gamma function. In its current state it is like an approximation of the value of all of the search space multiplied together.
>>10861
I am not condescending you, I am trying to help you. They are called hints, not directions for a reason. VQC has posted the Fermat primes conjecture, Euler's work, the proof of Fermat's Last Theorem, computer science algorithms, and many more topics which require a solid understanding of pure mathematics to study. Furthermore, the work I started on deriving pure formulas for quantities in the grid is a highly structured way to enumerate its patterns. To eschew learning from mathematicians is to eschew learning itself, and all of it is applicable to this problem.
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5be6c4 No.10874
>>10870
>He likes clear leadership anyhow.
More "direction" than leadership, necessarily.
>>10872
VA can calm his faggot ass down, as well, yes.
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41b181 No.10875
I think it's grand to have someone new here, bringing in a different perspective. I also think we have a tendency to be skeptical towards new people. I know we've been burned in the past, but I still think we should keep an open mind.
>>10820
In a former thread, one of us decided to pretend to know the solution and "explain" a bunch of stuff about the grid. He had some rudimentary understanding of math, but in the end had no actual solution. He though he was "helping", but he just wasted everyone's time.
>>10860
>>10861
>>10864
>>10874
I think we can all take a breath here. We all want the same goal, which is a solution to the problem at hand. We want to understand how to find n for a given integer. We have been stuck on this problem for over 2 years and maybe a new perspective will give us insight we can use.
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4f7eb0 No.10876
>>10875
I am aware. However I don't agree with the actions of AA and VA driving him out; unless I missed something he had the same level of proof of having a solution as the one who started this journey. In my years at university, no mathematical challenge my professors proposed no matter how misleading or surprising the result was was a waste of my time. Any one who can walk a path of equations and formula, wherever it leads, is not "rudimentary" in my book.
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5be6c4 No.10877
>>10873
Pooooost it!
Pooooost it!
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41b181 No.10878
>>10876
Putting him and VQC on equal footing is a false equivalence. VQC created the grid, he studied and learned all the patterns years before we ever heard of it. Jan didn't.
Since you are new here I'll point out that trust is very important. I trust AA, VA, PMA, Topol and VQC (And of course the others from the earlier threads). I can do that because they've been here for years and never lied. Jan, however, lied. He claimed to have a solution, he claimed to have it all figured out and he didn't.
Trust and content are the only two things worth its weight in salt here.
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994af7 No.10879
>>10877
#define PRECISION 100
#define ROUNDING MPFR_RNDU
/* Function to approximate a_sum(t). Inputs are (return value, t) */
void a_prod_approx(mpfr_t &a_prod_t, const mpz_t t_mpz) {
mpfr_t pi_over_2, cosh, t, tp1, _2tp1, _2t, t_2t, numerator, denominator;
mpfr_init2(pi_over_2, PRECISION);
mpfr_init2(cosh, PRECISION);
mpfr_init2(t, PRECISION);
mpfr_init2(tp1, PRECISION);
mpfr_init2(_2tp1, PRECISION);
mpfr_init2(_2t, PRECISION);
mpfr_init2(t_2t, PRECISION);
mpfr_init_set_ui(numerator, 1, ROUNDING);
mpfr_init_set_ui(denominator, 1, ROUNDING);
mpfr_set_str(pi_over_2, "input-pi-here", 10, ROUNDING);
mpfr_set_z(t, t_mpz, ROUNDING);
/* Calculating cosh(pi/2).*/
mpfr_div_ui(pi_over_2, pi_over_2, 2, ROUNDING);
mpfr_cosh(cosh, pi_over_2, ROUNDING);
mpfr_clear(pi_over_2); //Clearing variables we are done with.
/* Calculating 2^(t+1). */
mpfr_add_ui(tp1, t, 1, ROUNDING);
mpfr_exp2(_2tp1, tp1, ROUNDING);
mpfr_clear(tp1);
/* Calculating t^(2t) */
mpfr_mul_ui(_2t, t, 2, ROUNDING);
mpfr_pow(t_2t, t, _2t, ROUNDING);
mpfr_clear(t);
/* Calculating e^(2t)*/
mpfr_exp(denominator, _2t, ROUNDING);
mpfr_clear(_2t);
/* Multiply the numerator all together. */
mpfr_mul(numerator, numerator, cosh, ROUNDING);
mpfr_clear(cosh);
mpfr_mul(numerator, numerator, _2tp1, ROUNDING);
mpfr_clear(_2tp1);
mpfr_mul(numerator, numerator, t_2t, ROUNDING);
mpfr_clear(t_2t);
/* Divide the numerator by the denominator and set to return value. */
mpfr_div(a_prod_t, numerator, denominator, ROUNDING);
mpfr_clear(numerator);
mpfr_clear(denominator);
}
The code can be compiled in C and C++ compilers and must be linked with the GNU Multiple Precision Arithmetic library including its MPFR update.
>>10878
I believe you may be a bit biased. Counting lies is not somewhere I want to go, but the truth is not so black and white. Both people have offered to provide and solution and did not. On /vqc/, I counted 7 separate dates where VQC claimed to provide a solution in a following week or day and did not (I am able to provide post numbers). I also found him claiming the fulfillment of the Biblical book of Revelations was mathematics. Since you are in the business of judging truth and falsehood, maybe you could inform us of whether God exists and this is true or whether he is a liar and this is false? I am personally not a fan of throwing people away. What I would have said to this is that bright people do strange things. Carrying spite is inhibiting your ability to see clearly.
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5be6c4 No.10880
>>10879
God exists, it's just a question of how interventionist They are.
Is the Bible correct/legit? Not on the surface. It's a control mechanism, same as it ever was.
But is there stuff hidden in that millennia old document? Totes!
Was the writing style to do that, back in the day.
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7341ce No.10881
>>10880
I am fond of giving it a read from time to time. When pride comes, shame comes too, but wisdom is with the humble.
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5be6c4 No.10882
>>10881
If I were a southern baptist, I'd be obligated to tell you that you're not reading it correctly if that's your position and that you need to memorize The Wholly Babble lest ye suffer fire and brimstone!
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55aeb5 No.10883
>>10879
>Carrying spite is inhibiting your ability to see clearly.
The same could be said about not giving people enough scrutiny. Just speaking for myself here but I personally never told him to leave, I told him I didn't trust him and asked him to provide the solution he claimed to have, and then he chose to leave. I also find it curious why you're actually here given what you've mentioned in your last few posts about VQC not having proof and being a flake (not that anyone would likely disagree, you just seem less convinced of his authenticity than the rest of us).
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4a10fc No.10884
>>10883
I came here because I saw a place where people study mathematics and share their results. I know I haven't been here long, but my desire is to show that mathematics is beautiful and your ability to study it and create something amazing is not defined by other people. If you let being misled or being let down define you, you let that be the end of the story. This endeavor does not need to be about people instead of numbers, and it certainly doesn't need to be about mathematics being "ruined" by people not delivering. I have seen people here studying academic number theory and programming well known number-theoretic algorithms. You should welcome their insight because they are learning to love mathematics and make progress on their own.
Since the first walkthrough, VQC has shown that he wants those following to figure the rest out on their own. To me this signals that he wants to show you something that he can't show you directly - how to study mathematics without being told what to do or where to go. I know you believe it is related to Q's timeline. His statements that he has "given it away" and "given you enough to solve" suggest otherwise. If you still aren't convinced, suppose for a moment that the reason he hasn't given a direct statement of the solution is because he wants you to be able to make progress on your own. Would statements like
>>The best bet is to wait for Chris to come back and provide more hints
be why there is silence?
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5be6c4 No.10885
>>10884
kek, sounds like you've done the reading, at least :D
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3bb8b2 No.10886
>>10884
I don't think anyone here would disagree that it's nice to be around like-minded people who are interested in mathematics and want to study and learn more. That's certainly one of the functions that this has fulfilled, one of the other functions being that there's apparently a way to factor arbitrarily-large integers in O(log n) time where n is the length of c in bits. Jan was, from my view, to a significant enough degree, disrupting the second function, and that's why we all got mad at him. Maybe you would see it differently if you were involved while it happened. I dunno. Either way, he chose to leave.
The disagreements you and I have had are purely based on that second function, but for constructive reasons. Exploration of ideas some of us are skeptical of being relevant to the second function still fulfills the first function too. That's why I hope none of what I said came across as personal attack, since I know most of our interactions have been disagreements (although here comes Topol again telling me I'm being passive-aggressive when I'm just trying to be neutral). I just didn't want you to go down the same path as everyone else who quit (although you still seem to be, but that's why I stopped replying, because I wanted to let the results speak for themselves, whether they back up my opinion or not). Part of why I say this is also because I'm about to disagree with you some more, and hopefully putting this first will make it seem less like I'm just trying to be argumentative.
>I know you believe it is related to Q's timeline. His statements that he has "given it away" and "given you enough to solve" suggest otherwise.
He said the opposite >>9222 here, after having said all of that for a year and a half. That's part of why I think it's based on Q's timeline (also because he seems to be worried that his family will be killed if he releases it given the information it will allow to become public, like he said earlier in this thread). Assuming it's something that's meant to come out at a particular time based on non-physical forces like he said/implied in that post (although some of us may have interpreted it differently at the time), logically we wouldn't get the solution before then, regardless of whether Chris posted it or one of us figured it out.
>suppose for a moment that the reason he hasn't given a direct statement of the solution is because he wants you to be able to make progress on your own. Would statements like "the best bet is to wait for Chris to come back and provide more hints" be why there is silence?
We have made significant progress since the last time he was here. VA and I did a ton of work on the binary thing, and I'm pretty sure that was a significant part of what he was getting at with his latest posts. If it was about progress I would think he would have made another post by now. I don't think he visits this board very often. And in relation to making further progress, I think the binary thing is the closest thing anyone's found to a solution, and I don't have any useful ideas, nor have I seen any I'm personally convinced are going to progress it further, which would logically leave Chris telling us more about it as the only other way to progress unless someone comes up with a useful idea. It doesn't mean I'm correct, but I don't see how it's illogical.
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2d3a6d No.10887
Would anyone like me to go over calculus and the grid? I would like to end the stigma against the language of "formal" maths and show that it is in reality elegant.
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5be6c4 No.10888
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2d3a6d No.10889
>>10886
There is a common belief here that a fast integer factorization exists. I do believe that.
>> 9222
This one is quite vague and could mean a lot of things. However an invisible force protecting things from being revealed seems more like a religious statement than Q-related.
> The binary patterns
There are equations for these patterns. You can write formulas that explain these in a much more insightful way than trying to read binary manually. My reference to Galois fields was one way to do it. Binary is defined by powers of two; every pattern in it is contained in these. From right to left, the first digit of binary is in the spot 2^0, 2^1, 2^2, 2^3, 2^4 …. If there is a 0 in each place, there is no power of 2, if there is a 1, there is that power of two. Hence, binary numbers can be written in a much more insightful way as power sequences where the input variable is 2, like this:
c(2) = a0x^0 + a1x^1 + a2x^2 + a3x^3 + a4x^4 … = 11111 = 31
Wherever the binary number has a 0, that term in the function is multiplied by 0, since a_n = 0: This is known as a generating function. If you were looking for a special binary pattern, it would be much easier to see with this understanding; the pattern would show as which power of twos are included or become 0. This type of notation is number-base-agnostic; it can show patterns in any number base. I am planning on continuing my research on cell sequences, but I will say the place I would start in defining binary patterns in the grid is relating this binary generating function of a number and the generating function for its e and n value. This can be done by relating the binary function for a number and its square root, possibly like this:
c(2) = a0x^0 + a1x^1 + a2x^2 + a3x^3 + a4x^4 … //This evaluates to c using infinite powers of 2. If we clone it and then multiply it by itself for a finite amount of powers, we have an algebra for the square root and remainder of the function.
d(2) = (a0x^0 + a1x^1)
d(2)^2 = (a0x^0 + a1x^1)(a0x^0 + a1x^1) = a0*1 + 2*a1x + a2x^2 //Since each coefficient is only 1 or 0, its square is not necessary to write
Example: let d = 3
d(2) = (x^0 + x^1) = 3
d(2)^2 = 1 + 2^2 + 2^2 = 9
c(2) = d(2)^2 + e(2)
I
This shows that taking the square root is a form of algebraic factoring that factors the binary generating function of c (with a remainder). Without a remainder, factoring this generator function is equivalent to integer factoirzation.
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3bb8b2 No.10890
>>10889
>an invisible force protecting things from being revealed seems more like a religious statement than Q-related
Not only has Q referenced the Bible a million times but so has Chris. They're both extremely Christian.
>the rest
Dude I know how binary works. I'm talking about this >>10778 (it also works for unknowns other than a such as n and x but it doesn't seem to be easily predictable). Can you explain that with algebra?
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2d3a6d No.10891
An example of factorization in binary:
(2^0 + 2^2 + 2^3 + 2^4)(2^0 + 2^2) = 145
When distributing each term this evaluates to:
2^0 + 2^4 + 2^7 = 145
>>10890
This can definitely be explained with algebra. You can do it. I'm giving you the opportunity to derive it. All you have to do is link the equation for a number's value in binary to the equation for its x and n. Then you will know what the form of the number has to be that satisfies a check in your program.
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2d3a6d No.10892
I will be back soon. I'm not being condescending in >>10891, you implied you couldn't derive it, showing you that you can is much more important than the problem itself.
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3bb8b2 No.10893
>>10891
>>10892
It was a genuine question, I wasn't implying you couldn't. If you can then we already have a solution.
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d4b23f No.10894
>>10893
On the first guess I would venture it is numbers where the value of c is equivalent to the value of n or x plus powers of 2, in other words something that is a property of the number and not a property that can be pasted onto every number. What I was trying to convey is that I wanted you specifically to write the equations for it, you have every formula of what can prove whether the pattern is coincedence, not coincedence, or both and produces a form of numbers that is useful. You can do it and know more than enough to settle these questions. That said, I will write it out if the path isn't clear to you. The polynomial formula for the binary value is essential. I haven't evaluated the other forms of the numbers, but my idea is that the usefulness of this formula is obvious when e is a power of 2.
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55aeb5 No.10895
>>10894
It isn't c, it's either of the eight known a[t]s in (e,1) and (f,1). We don't know which unknown it will be, it doesn't work for every number (although it works for every number up until at least three million but that's where I stopped my test), it's unpredictable, and even if you somehow knew what powers of two to take away from which of the known a[t]s in (e,1) and (f,1) and which of the unknowns would be left, it would be quicker to do it the way we already figured out. Or is this not intended to be a solution and is more intended to be something to think about? Because just looking at this example >>10891 the only algorithmic structure I can think of would be the same time complexity as just iterating for factors.
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47122c No.10896
>>10895
The polynomial I have presented is what you need to evaluate why the program terminates with a factor for each solution check. In its current form it will not provide any insight without derivation and structure. For the examples in the post you linked previously:
To study binary, it is more useful to define BigN as so:
(BigN-1) = (c >> 1) - d
BigN = (c >> 1) - d + 1
BigN = d^2 + e - ((d >> 1)d) - (d + (e >> 1))
Remember, a binary shift by 1 is simply removing one binary digit at the end. It is an elegant understanding of integer halving.
c = 65527 = 1111111111110111
BigN = (c + 1)/2 - d = 32509 = 111111011111101
BigN ends in a. The formula to evaluate this mathematically is to take BigN mod 2^(binary digits of value). Since 253 is 8 binary digits, we take BigN mod (2^(8)) = a. In the BigN formula, the integer division by two removes one binary digit, the addition of 1 changes the ending from 2^0 + 2^1 to 2^2, since (2^0 + 2^1 + 1) = 2^2, and the removal of d which happens to be one below 2^8 switches the 2^8 binary digit to a 0 and switches the final binary digit from 0 to 1, signifying 1 left over.
1111111111110111 ->
111111111111011
111111111111100
111111011111101
Why does this sequence of operations result in the exact value of a at the end? It is a property of the number itself. The closest answer to "why" is to define a formula to generate numbers of this form.
((ab >> 1) + 1 - isqrt(ab)) = a (mod 2^k)
((ab >> 1) - isqrt(ab)) = a - 1 (mod 2^k)
Using the following formula, I generated the following numbers of the same form.
247
416
585
949
1313
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503f22 No.10897
What is the formula when the variable that the number ends in is n or x?
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3bb8b2 No.10898
>>10896
You'd need to know how long a is though. This is pretty much how the pre-existing method works but explained differently.
>>10897
There isn't one. Like I said, we haven't found a way to predict which unknown will appear at the end of which known (and it doesn't work for every number, although it does work for all of them up to at least three million). Coming up with formulae is great and all, but they don't work every time and we don't know how to predict when they'll work.
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3bb8b2 No.10899
>>10897
Just realized I misread this but my point still stands.
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965929 No.10900
>>10899
Your current method checks each possible length of a. I don't see my posts as a solution to the problem, only a way of properly dissecting the results. If you aren't interested in understanding your own results I will move to a different idea.
> There isn't one
There is a formula to generate numbers that end in their own n or x, I just didn't evaluate it and gave you the chance to.
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accfd5 No.10901
My idea for the use of the formula if rewritten for every check in the program is to be able to check if the program is better than a random search or not. This would be conclusive proof that the pattern is not random. As an example, if you defined an interval of integers and then used a formula to generate every number in that interval that passes a specific check for every check in your program, if the amount of numbers generated was equal or over the interval than it would mean the program is a long-winded evaluation of the whole search space. If the amount of numbers generated was smaller than the interval but still succeeded over the whole interval then it would be a complete proof of the significance of the result.
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3bb8b2 No.10902
>>10900
>There is a formula to generate numbers that end in their own n or x, I just didn't evaluate it and gave you the chance to.
That's what I meant when I said I misread. You are correct.
>>10901
I have code that I can adapt to count the number of successes with each unknown if you wanted to do that. Regardless of its potential invalidity, it's the closest thing we have to what Chris' latest clues were hinting at.
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a43e0e No.10903
>>10901
There is an important reason to evaluate this beyond seeing significance or insignificance.
I have not evaluated the groups of numbers that end in their own a, n, or x but there is (by definition) a pattern to them.
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a43e0e No.10904
>>10902
Which clues in particular?
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3bb8b2 No.10905
>>10904
It executes once for each possible length of a in bits >>10446
The range is a[1] and a[t]=Nc and prime numbers are the worst case for its time complexity >>10401
It's based on visual patterns in binary >>10385
It's similar to the way that 1365 is divisible by 65 >>10389
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a43e0e No.10906
>>10905
> It executes once for each possible length of a in bits
Any program that divides c by two to check something repeatedly is going to execute that many times. What catches my eye in this hint is that it implies there is a calculable possibility of factors to exist that is smaller than every odd number.
> The range is a[1] and a[t]=Nc and prime numbers are the worst case for its time complexity
Since a prime number is a number where only N exists, any algorithm that iterates starting at N or up to N will have a prime number as the worst complexity.
> It's based on visual patterns in binary
This could be a lot of algorithms.
> It's similar to the way that 1365 is divisible by 65
This kind of pattern would be evaluated numerically with c % (10^2).
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3bb8b2 No.10907
>>10906
Are you going to post another algorithm that fits these criteria then?
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7471e2 No.10908
>>10907
I'm here to learn and share what I've learned. It is only logical to look to something new if you've stopped learning from a specific approach. Algorithms take work, perserverance and vision to build; it is unrealistic to hope for a spontaneous realization to carry you. "Enumerate what you know." Enumeration of rules and patterns takes structure, a structure that enables you to put the patterns together and link them. If you just throw everything together that you can and it worked, it wouldn't be something that equips us to do even greater things. Consider string theory or its precursor Kaluza-Klein theory, Einsteinian gravity or MOND which is not yet complete but being worked on.
Halving is a special operation in computer science. It is particularly related to time complexities of O(log n). Knowing the time complexity of the algorithm we are searching for, we can obtain more information about it then I have seen discussed here. Let us consider RSA 2048, which has the bitlength 2048. The natural log of 2048 is 7, meaning it takes 7 steps. If the algorithm takes 7 steps and it is known that some quantity is halved each time, then the quantity that is being halved and the amount that one must jump by on each step each time can be analyzed. Supposing that the range of the search is the interval [1, t_N+N], and letting T = t_N+N, the amount of times that the search space must be halved to reach 1 can by obtained by log2(T+N) = 2046. In other words, (T+N) / (2^2046) ~= 1. From the 7 step calculation, the amount of bit lengths removed on each step would be calculated as 2046 / 7 ~= 292. This means that the program would remove 292 bit lengths on each run of the loop, which can be verified with (T+N) / (2^292)^7 being close to 1. From this we can produce 7 possible bit lengths of the nontrivial t: 1755, 1463, 1171, 879, 587, 295, 3. How useful is this calculation? This can be tested with the numbers for RSA100.
bit_length(RSA100t) = 159
possible_bit_lengths(RSA100) = [264, 199, 134, 69, 4]
This isn't very close, but since ln of the bitlength is inbetween 5 and 6, we can try setting the amount of bitlengths jumped from (329 / 5) to (329 / 6), which comes within 8 bits of the actual bitlength of t:
possible_bit_lengths(RSA100) = [275, 221, 167, 113, 59]
I haven't yet an idea of what kind of algorithm could use this information, but if you perfected the calculation to give the correct bitlength of t for the RSA numbers it could be used as an axiom for an algorithm that searches a set amount of bit lengths, say a multithreaded one.
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2695a8 No.10909
Furthermore, if log_10 instead of log_e is used to calculate the amount of operations on c, the (singular) possible bit length of a for RSA100 is 165. If log_2 is used, the possible bit values are [288, 247, 206, 165, 124, 85, 42]. Thus more calculations are needed to establish a bit-accurate estimation.
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5be6c4 No.10910
>>10907
<Are you going to post another algorithm that fits these criteria then?
-pic related-
ffs.
>>10908
MOND you say…
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000000 No.10911
> Jan is a faggot who LARPed
> Jan leaves the board like the bitch he is (After being constantly called out)
> Suddenly, out of the blue M appears (After 2.5+ years)
> M is like Jan, except M is not a faggot
> M continues off where Jan left
Are you guys shitting me? Jan was and is a shill. Embrace, Extend and Extinguish. Embrace the grid (The grid is real, but VQC is a faggot << JAN/M ON DISCORD), Extend the grid (Let's throw more shitty math at it << THIS IS WHERE JAN / M IS), Extinguish (If you don't understand XYZ then you might as well leave << Where he will be in a few weeks).
How is Jan extinguishing the board? Simple, he is throwing oooooold math at the problem. Shit you guys can't wrap your head around because you didn't spend 10 years memorizing idiotic symbols and force yourself to remember the 5 axioms of Euclid.
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5be6c4 No.10912
>>10911
That's nice.
Unless you can give some explicit proof that "M" is Jan, then plz no run off the newcomers.
Don't be niggers.
No glowing.
Make Terry Proud Again!
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1fb3e1 No.10913
>>10911
I know who wrote this lol.
>>10912
Follows a pattern. Although M is definitely a better avatar or real person. Who knows.
>>10876
M - The prime sin of Jan was this: insulting other people's honest ideas, work, and exploration and making anons feel like shit for trying to help. He was belittling people's work and claiming to have the solution. It was super fucked up. I avoided the board for months.
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cef271 No.10914
>>10911
If you have any issues understanding summations or their rules (it is always a very fun story recalling the idea of Gauss deriving the first rule of summations in front of his schoolteacher), I'm more than willing to help or explain the process. I can explain them using C (I'm old school). There is no such dichotomy of productive or unproductive mathematics to use for investigating numbers. Mathematics, like programming is a tool and its symbols represent processes; it is the programmer or mathematician's job to write insightful theorems, or, should he fail (I hope nobody fails here), it is not the fault of the tool.
>>10912
I appreciate your sympathy.
>>10913
It's not a good way to spend one's time or mood trying to decipher who is who on a platform like this. I would just judge each post by the maths therein, the logic involved and whether it is sound, and whether that poster is polite. Mathematics doesn't lie; ideas can be dissected decisively. As for a character, it's better not to. That is why I am not concerning myself with such things.
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1fb3e1 No.10915
>>10914
>It's not a good way to spend one's time or mood trying to decipher who is who on a platform like this
Actually, it's vitally important, M. That's why we have names and trust here.
Personally, I love your elegant approach.
Keep working!
Math(s) don't lie.
Find the solution with your equations, and you will be honored.
We're simply hardened by shills and many dead ends.
Your formulas don't impress us, straight up.
Neither does the scholarly attitude.
It comes off as talking down to us lads who have been here since the beginning of CBTS.
That being said, you have clearly studied the threads more closely than any other newcomer since the inception of this board. So, you're either legit, or the French incarnation of Jan lol.
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5be6c4 No.10916
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5be6c4 No.10917
>>10915
Also, it could just be Chris fucking around.
As usual. ;)
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51896f No.10918
>>10915
I am not here to impress nor condescend. If something gives you that impression, it is not me. Why study the threads and become involved? I may have misjudged the age of those here, but it really seemed like a place that attracts the youth and the youthful to learn mathematics with no prerequisites. "Breaking RSA is a consequence, not an aim." If VQC became a place where more people joined in the future to study maths, it would be a wonderful thing. There are a lot of people in university who do mathematics coursework, but there is a dwindling amount of people who love maths. I have a been a part of many maths forums online, and there is something special here that isn't found there (plus all of the forums that I was fond of have shut down). So if VQC becomes a place where people love maths and more people come to learn to love maths, I want to be part of it.
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5be6c4 No.10919
>>10918
I'm chill with you bein' here.
Might wanna thicken the ol' skinz if you plan on sticking around though.
The others can get all sorts up in arms at the drop of a hat.
But they mean well.
WELCOME ABOARD!
Whether you're Jan/Jean, another one of Chris's alter personas, or actually someone new…
I'm just here for the maths. And by that I mean I'm the muse of the group, so let's get back to the maths and away from the draaaaaama drama drama.
And theeeeeeeeeen?
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ccfa01 No.10920
I'm going to analyze a hint I was thinking about. I can't recall which post number it was at, but it was something along the lines of "[using the grid solution] a number can be identified as a square faster than O(log n)." Over the course of VQC, I have seen two unique square root algorithms (if these don't link properly I will repost):
>>4306
>>8679
The first method (the original method posted in /cbts/) starts with an initial "high" guess of d = c / 2 and an initial "low" of 0. At the start of the loop, d becomes c / 4, and then is squared. If (c / 4)^2 is less than c, then it becomes the "low," otherwise it becomes the "high." In the subsequent iterations, a midpoint (low + high) / 2 is calculated and then squared, with the low and high being based off of which is too high and too low. This repeats until low and high are within 1 of each other, which means the value of the square root has been found. Finally the high value is squared and then the right value is returned based on checking both. This method is known as the bisection or binary search method. It is slower than the new method as it only gains one bit of accuracy on each iteration (corresponding to one binary digit each time).
The second method converges to d faster and corresponds to Newton's method. Although derived in calculus, Newton's method works well over the integers, it just terminates before becoming a floating point number and the remainder is calculated. Under Newton's method, the problem of square roots is written as:
f(x) = x^2 - c where c is c from the grid, and x is an independent variable. Without going into derivatives, it will suffice that we use two simple rules to explain Newton's method:
The derivative of x^2 = 2x; the derivative of a constant is zero. Thus the derivative of f (f') =
f'(x) = 2x
Newton's method is:
x1 = x0 - ( f(x) / f'(x) )
Evaluating this with the formulas,
x1 = x0 - ( (x0^2 - c) / (2x0) )
Which when multiplying both sides by 2x0, distributing the negative sign and then dividing by 2x0 again becomes the simpler form:
x1 = (x0 + (c / x0)) / 2
If we set the initial x0 to the bitlength of c multiplied by 2, then we arrive at the same code presented in the second method.
How can this be applied to factoring, if at all? As it turns out, factorization can be expressed using the same type of function but with two input variables:
f(x, y) = (x + y)(x - y) - c = 0
However a multivariate root finding function is complex (literally), so I won't go into that unless it could be efficient.
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5db6fa No.10921
>>10911
Funny how every time someone suggests M might be Jan he avoids giving a yes or a no (also funny how Jan always did that with everything else)
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6ae8c9 No.10922
>>10921
That which is asserted without proof can be can also be dismissed without evidence.
I think if we all jump up and accuse every single person who comes to help us out as being Jan we're going to find ourselves all alone pretty soon. I'm usually just observing but this kind of behavior is pretty common with a group of people on the decline.
Just a warning from an oldfag.
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5be6c4 No.10924
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3a1d72 No.10925
>>10922
Completely agree.
>>10911
You're fucking retarded please shut the fuck up about Jan for god sakes holy shit I'm just trying to follow along. Post math instead of drama or kill yourself and shut the fuck up
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5be6c4 No.10927
>>10907
Totally not related to anything, but did you ever figure out if Syntax Highlighting could be toggled?
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491c2c No.10928
>>10922
Hello Oldfag.
>That which is asserted without proof can be can also be dismissed without evidence.
>Just a warning from an oldfag.
Very True. Thanks Oldfag.
>>10925
Also very true. We're just tired of being fucked with.
>>10920
According to VQC, we're looking for a new way to view number families. Old ways can hint towards that, but we need new ideas. Newton won't help us on this mission.
If you can't tell yet anons, I like to stir the pot when I'm bored. Please don't take it personally. It's like DJT tweeting insults, it makes the day more interesting. And makes me laugh when people get all pissed off on Discord. At least we're not bored, right?
So who has ideas? Shall we work?
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752b86 No.10929
>>10927
That's a question for Ron. I don't see any new settings.
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5be6c4 No.10930
>>10929
kek, that's why I was asking.
I'd put in the request before 8kun was operational and was told he'd look into it and that it maybe might habben. Ah well.
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752b86 No.10931
I'm about to make thread #18. Should I redo the text? I feel like it could be stripped down and made a bit more coherent. For example the relevance of Pell numbers and triangle numbers and so on is never mentioned in the block of text, and even among those functions there isn't any mention of the functions themselves, just that they exist. Most of the code probably doesn't get used anymore, and only a handful of patterns are mentioned too. Also for example with this line:
>D and D2 refer to the two elements whose d[t] values d from c is between in row one.
That was one of Jan's ideas that was never brought up anywhere else but in his workings (I hadn't even noticed it there before). Even if I was to edit the OP text it would all still exist in these previous threads. What do people think about me redoing the OP text?
>>10930
I remember you mentioning it. There are probably only one or two other boards on this website that even use code anyway (I've only really been on this board and occasionally /qr/ to find Chris for the last few years so I don't know anymore), so I doubt it's a priority.
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5be6c4 No.10932
>>10931
Make it the bestest bread text ever!
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1aab70 No.10933
>>10922
Not the words I would use, but this is precisely why I didn't spend any more time acknowledging it. Claiming I am here to stop you all from progressing by giving you more mathematical tools is logically vacuous.
>>10921
I'm not Jan, are we finished?
>>10931
I don't think it should be removed just because he made it. I haven't analyzed the hint myself but I know other people have used the elements d is between in n=1.
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1aab70 No.10934
>>10920 (cont'd)
We have two equations which describe the unknowns under two problems, roots of square and roots of two numbers multiplied together (factorization):
f(x) = x^2 - c
f(x, y) = (x+y)(x-y) - c
This problem has been represented as finding roots from two independent variables before, in Get_Remainder_2dnm1(base, d, n , f) >>4594. Since d and f are constant here, it is equivalent to the two unknowns of f(x, y) form.
These representations may seem simple, but they allow you to learn something about the problem that is not as obvious from viewing it as many solution variables. Firstly (I have not seen this described here yet), it is that the problem of finding the base of a square is 2-dimensional, but the problem of finding the bases of a rectangle is 3-dimensional. In the first equation, f(x) is y, but in the second equation, f(x) is z with x and y inputted. While not a complete proof, it is evident that if you try to make factorization a univariate f(x), you will get an unknown root instead of 0, as in
f(x) = (x+n)^2 = (d+n)^2 - c
hence the problem is shown to still be of two independent variables.
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67b224 No.10935
Pseudo-code. Demonstration part 1. Even d, odd e. Branching.
1. Convert to binary as a string
2. Trim Right zeros (divide by 2 until odd)
3. Find square root d and remainder e
4. GCD(Larger(d,e),Smaller(d,e))
5. Branch on e_bin[e_bin.len], case 1 (where e is odd) and d_bin[d_bin.len], case 2
6. Case last digit of c 9, then dpn must 0 (9+1), 4(9+5), not six as no square ends in seven, meaning xpn ends in either 1 or 5
7. Create matrix of dp1,nm1,fm1
8. Factorise dp1 and fm1
Why is it obvious that for RSA_100 that d+1, n-1, f-1, x and (x+n)-1 are divisible by 5?
Why is it obvious that for RSA_100 that (x+n)(x+n) - 1 is divisible by 40 (8T + 1)?
Why is it obvious that for RAS_100 that (d+n) mod 100 = 0?
Why is this so hard? Is it due to the requirement to work with numbers at a certain scale to see patterns emerge?
Are you working in a domain that will not show it?
Should you be working with RSA numbers that have been determined?
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67b224 No.10936
Timeline alignment.
Work with RSA100.
The problem has always been masked at low integers.
Otherwise it would have been solved.
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67b224 No.10937
You are closing in on the solution to the formerly intractable multi variate problem.
Numbers are not a line.
They are families.
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67b224 No.10938
Good Bless President Donald Trump and the United States of America.
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8686cf No.10939
Device switch.
When the time comes, take the victory.
You have EARNED it.
Deus Ex Machina.
The ghost(God) in the machine helped, but the work, the hard work was yours.
The ghost in the machine is not me, I just pass it on.
This is only the Beginning.
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8686cf No.10940
Q Timestamps have authentication.
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8587c8 No.10941
>>10935
Hello! Looks interesting, I'm writing a C implementation of this now. Here's my CMakeList.txt for including the C arbitrary precision libraries (if my previous code doesn't compile remove the & in front of a_prod_t, I was accidentally calling it from C++).
cmake_minimum_required(VERSION 3.16)
project(Mathematics C)
set(CMAKE_C_STANDARD 99)
add_executable(Mathematics main.c)
include_directories(
"/usr/lib/x86_64-linux-gnu/"
"/usr/include/")
target_link_libraries(
Mathematics
"/usr/lib/x86_64-linux-gnu/libgmp.so"
"/usr/lib/x86_64-linux-gnu/libgmpxx.so"
"/usr/lib/x86_64-linux-gnu/libmpfr.so")
The folders are the default install locations for GMP and MPFR, but may vary. The header files need to be in the include directories and the shared libraries in the linker.
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5be6c4 No.10942
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dd5c5b No.10943
>>10935
Why no trip?
>>10933
>I don't think it should be removed just because he made it. I haven't analyzed the hint myself but I know other people have used the elements d is between in n=1.
Having just that one and two or three others seems a bit weird when there are a ton of them, doesn't it? I was going to get rid of all of them and just point to the grid patterns thread (that pattern is in there so it's not like I'm just doing this because of Jan).
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5be6c4 No.10944
>>10943
So that no one accuses him of larping as Jan? XD
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dd5c5b No.10945
>>10944
You would think if he wanted to prove the validity of his trip after burning all the others that he would keep using it (or at least the name VQC).
>>10935
Thinking out loud.
>Even d, odd e
That means x is odd, f is even, and c/a/b are odd. n's parity could be either or but could be determined with BigN.
>GCD(Larger(d,e),Smaller(d,e))
That gcd is either going to be one of the factors or 1, so that would terminate the loop.
>Branch on e_bin[e_bin.len], case 1 (where e is odd) and d_bin[d_bin.len], case 2
I don't even know if these two concepts are linked, so this is just an idea, but if we're using branches based on d and e, assuming the size of these numbers has something to do with the search space, this would get rid of at least half like he said >>10407 here. I wouldn't have a clue how these branches link together with (e,1) and (f,1) though. t values maybe?
>Factorise dp1 and fm1
If we're factoring decreasingly-sized branch numbers then we still need a way to link the factors of the branch to the factors of its parent. That would explain all the times you've said that this is recursive though. I think this might be related to the triangle method since that's based on nn+2d(n-1)+f-1, you're saying we're meant to factor f-1, and then later in this post you mention RSA_100's 8T+1 being divisible by 40 (which you mentioned when you introduced the triangle method). That's the only thing I can think of that would make any of this relevant, so I could be wrong.
>Case last digit of c 9, then dpn must 0 (9+1), 4(9+5), not six as no square ends in seven, meaning xpn ends in either 1 or 5
>dpn must 0
Equal zero? End in zero? This poster might not have a trip but Chris always seemed to accidentally not include an important word in his explanations here or there so this probably is him, lol. Just using a smaller number to try to understand this wording, c3139 (43*73) has an even d and an odd e, and its d+n is 58, so I really don't know what this is supposed to mean.
>not six as no square ends in seven
So this has to do with a square minus one maybe?
>meaning xpn ends in either 1 or 5
c3139's x+n is 15, so that's a start.
At first read this doesn't really elucidate anything for me personally. I know the stuff about specifically using RSA_100 will require a bit more effort than this post of course, but there are a lot of different concepts to consider links between regardless.
Chris, if you come back any time soon, would you mind telling us whether the pattern in these pictures is relevant to anything?
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5be6c4 No.10946
>>10945
Yeah, but based on your (and others') past reactions, he probably has a better chance of getting his point across if he doesn't do either.
If Chris needs to/feels like it, he can always namefag.
Or stand out as only he can.
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5b013e No.10947
>>10945
Supposing there is a common factor or group of factors (multiplied together as one) between n-1, f-1, and d+1, does that tell you a way to find the index of n-1 any faster than searching? As an example, if they all had 3, could you go 3 elements up in t at once instead of one up at once?
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dd5c5b No.10948
>>10947
That could certainly be worth looking into. I haven't done anything with the RSA 100 stuff yet but it would be odd if whatever pattern he's referring to in that number that causes all of those numbers to have a common factor greater than one only worked in this one case, not only because that's a lot of numbers to share a common factor but also because then why would he bring it up?
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7967c0 No.10949
Here is the output of my implementation in C:
RSA100 = 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139
RSA100 is 330 bits long (1111 ns)
RSA100 = 39020571855401265512289573339484371018905006900194^2 + 61218444075812733697456051513875809617598014768503 (27 ms)
[d+1, n-1, f-1] = [39020571855401265512289573339484371018905006900195, 14387588531011964456730684619177102985211280935, 16822699634989797327123095165092932420211999031883]
The attached image is a matrix of the prime factors of [d + 1, n - 1 and f - 1] respectively (the final factor of f-1 is 146775299345680308269945210247021217361). If desired I can post my C code or images with this matrix for other known RSA numbers.
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f3753f No.10950
>>10949
Looks like you factored f-3.
f-1 should be 16822699634989797327123095165092932420211999031885
5 x 19 x 4488130363987 x 11079829100092583 x 3561013012572873623
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45aeae No.10951
>>10950
>>7388
Thanks for the correction; looks like you can move up or down by in/decrements of the common factor (5 in this case).
>>10723 was also insightful, I'm wondering if this can be rewritten to separate all an and bn's in (e, 1) and (-f, 1), which would give you a way to see which rows are defined without branching to a factoring algorithm.
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5be6c4 No.10953
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effedd No.10954
>>10935
>6. Case last digit of c 9, then dpn must 0 (9+1), 4(9+5), not six as no square ends in seven, meaning xpn ends in either 1 or 5
I looked into this since it's stylistically hard to decipher. n's parity determines what numbers (d+n)(d+n) and (x+n)(x+n) are going to end with was what he should have said. The parity of e and d don't have an effect (not pictured is odd d even e but that was the same as even d odd e).
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effedd No.10955
>>10954
I fucked up the picture, that should say odd e even d.
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dd5c5b No.10956
>>10935
I made a full tree with the branching he mentioned here and all possible [d+1,n-1,|f|+1] matrices and their factorizations. No idea what any of this is meant to accomplish.
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dd5c5b No.10957
>>10956
Here are the binary a[t]s for the same branching, just as an idea.
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effedd No.10958
I've been thinking about the "lookup x", if anyone remembers that. At the time nobody seemed to have any idea what it meant to have an x value in (e,1) or (f,1) that would lead to the solution that wouldn't just be the x we were already looking for (thereby rendering it meaningless to apply it to (e,1) and (f,1) since we'd already have an unknown that would give us the solution). It's a lookup x that's meant to either give us na or n-1. I'm thinking maybe this refers to the binary chunk thing. It's the only thing that's come up since he introduced the concept of a lookup x that seems to give it any meaning (a lookup x that gives us the element where na or n-1 is a chunk at the end of a[t] in binary). I've run some tests looking for na or n-1 in binary at the end of a[t] in elements other than the six we were using before and I haven't run into any that it doesn't work for yet, but the ones it works for where it isn't one of the six known elements, I haven't seen anything yet that would give a path to this x value. Here are two examples (I had to use numbers in the thousands or these tests would have taken hours (RSA_100 would have taken at most ten octovigintillion years with this algorithm, so maybe not that one) - also there are other examples that found n-1 but these both happen to be na):
(123,222,521) = {123:222:3482:1041:2441:4967}, f=-6842, c=12124447, u=631, i=3704, j=1263
The x values for the six known elements are (e,1) 12120965, 3481, 12127929 and (f,1) 12107038, 3480, 12114003
Found na at (f,1) x=11659973 === (146580344905683,1,5823023) = {146580344905683:1:141105366169899:11646045:141105354523854:141105377815946}, f=-135630387434116, c=19910724361941423765278575884, u=5823022, i=141105366169900, j=11646046
12107038 - 11659973 = 447065, so the solution element is 223533 elements below the (f,1) a[t]=c*(BigN-1) element
(3012,276,472) = {3012:276:2555:942:1613:4049}, f=-2099, c=6531037, u=608, i=2831, j=1218
The x values for the six known elements are (e,1) 6528482, 2554, 6533592 and (f,1) 6528481, 2555, 6533592
Found na at (e,1) x=6292398 === (3012,1,3146200) = {3012:1:19797142589106:6292398:19797136296708:19797148881506}, f=-39594285175201, c=391926854693394617149882248, u=3146199, i=19797142589107, j=6292399
6528482 - 6292398 = 236084, so the solution element is 118042 elements below the (e,1) a[t]=c*BigN element
So this is just an idea but if it's possible to find the difference between these t values and one of the known t values, maybe through this branching method or something else, that'd probably solve it. But I haven't gone through a ton of examples, so I don't know if it works every time. It makes a lot of sense assuming this binary thing is what he was talking about in February and March though.
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c1582f No.10959
>>10958
AA. Great post.
> It's a lookup x that's meant to either give us na or n-1.
>I've run some tests looking for na or n-1 in binary at the end of a[t] in elements other than the six we were using before and I haven't run into any that it doesn't work for yet
Was it the binary patterns that revealed the (n-1) and (na) values? Your post is vague about how you arrived at your results.
>It makes a lot of sense assuming this binary thing is what he was talking about in February and March though.
I have questions about how the sorting occurs for a binary search. Please post all your results for each test, and I'll take the time to analyze them in binary to look for matching chunks. M's breakdown needs to be analyzed in binary too.
>>10949
This was also a great post, working on the clues given. Thanks M. Let's analyze in binary to see if anything pops up.
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effedd No.10960
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effedd No.10961
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