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>Did Jesus ever say there will be no prophets
Yes: "For all the prophets and the law prophesied until John [the Baptist came]." (Matthew 11:13) But even if there are not more prophets, the Spirit of the prophecy lives in the Church.
"It will be in the last days, says God,
that I will pour out my Spirit on all flesh.
Your sons and your daughters will prophesy.
Your young men will see visions.
Your old men will dream dreams.
Yes, and on my servants and on my handmaidens in those days,
I will pour out my Spirit, and they will prophesy!" (Acts 2:17-18)
"Now, in these days, prophets came down from Jerusalem to Antioch." (Acts 11:27)
"Now, in the Church that was at Antioch, there were some prophets and teachers: Barnabas, Simeon who was called Niger, Lucius of Cyrene, Manaen the foster brother of Herod the tetrarch, and Saul. 2 As they were liturgizing d to the Lord and fasting, the Holy Spirit said, “Set apart for me Barnabas and Saul for the work to which I have called them.” (Acts 13:1)
"Judas and Silas (who were also prophets) encouraged the brethren with many words and strengthened them." (Acts 15:32)
"When Paul had laid his hands on them, the Holy Spirit came on them, and they spoke in other tongues a and prophesied." (Acts 19:6)
"We went to the house of Philip the evangelist, who was one of the seven, and stayed with him. Now, this man had four virgin daughters who prophesied. As we stayed there for a few days, a prophet named Agabus came down from Judea. Coming to us and taking Paul’s belt, he bound his own feet and hands, and said, “Thus says the Holy Spirit: ‘Likewise, in Jerusalem, the Jews will bind the man who owns this belt and they will deliver him into the hands of the Gentiles.’” (Acts 21:8-11)
"We have different gifts according to the grace given to us: if it is prophecy, let us prophesy according to the measure of our faith." (Rom. 12:6)
"But to each one, the manifestation of the Spirit is given for the benefit of all. […] To another it is given to work miracles and to another prophecy." (1 Cor. 12:7,10)
Moreover, the prophecies are sign not for the unbelievers but for the believers: Therefore, other tongues are for a sign, not to those who believe, but to unbelievers. Prophesying is [also] a sign, not to the unbelieving, but to those who believe." (1 Cor 14:22)