During his ministry, there were no fulfilled prophecies of him - what the gospels present as fulfilled prophecies, are bits of the OT applied to him, to make him look important.
But the Prophets were not talking about him - they were talking of their own times. So-called prediction is often Utopian forecasting (Isaiah 65 is a good example); or denunciation of contemporary evils (Isaiah 1); or what amounts to political analysis (much of Jeremiah). Jeremiah was on very safe ground in saying Nebuchadnezzar would take Jerusalem; that would have been seen as a foregone conclusion by any reasonably intelligent observer. Political analysis doesn't require the Holy Spirit (unless the Holy Spirit is a name for common sense; which is an interesting possibility). And when they do try their hand at prediction, the Prophets often chalk epic fails: such as Ezekiel 26, predicting the fall of Tyre to the besieging forces of Nebuchadnezzar. 13 years & and three chapters later, the prediction is withdrawn; it did not come true. Prophecy is not even usually predictive - just sometimes; & it is not guaranteed to be accurate; nor is a prediction that is verified by events an infallible sign of a true prophet; for a false prophet might also predict something that is verified by events.
Still less is OT prophecy concerned with Christ. Partly because the notion of prediction of something centuries in the future is alien to OT prophecy, partly because the notion that it is about Christ is a post-OT illusion. It has no basis in the texts. The NT writers believed this illusion was not an illusion, but their ideas of the OT do not justice to what the texts actually say, for a number of reasons. And this misconception about OT prophecy was passed on & became part of Christian Biblical interpretation: until the 18th century or so; since when the Churches have been finding a truer view of the Prophets & OT prophecy.
The Christian prophet Agabus in Acts prophesies like an OT prophet. His prediction is of an event not far distant; & the prophet in Jerusalem during the Jewish War who mourned the fall of the City & the Temple before it occurred is even closer to them in tone.
So why believe in the claims for Jesus ? Not because of historical evidence - lots of characters are historical, but that is not a reason to adore them, as we do Jesus. Belief in the claims for Jesus comes from revelation by God, just as in Matthew 16: Peter realised Jesus was the Messiah, not by reading the OT, but by revelation from the Heavenly Father of Jesus. The opponents of Jesus also had the OT - it did not reveal to Jesus to them, because it is a book, something belonging to this world; Jesus & his Father do not. So Jesus brings in the new age of the Father's Righteousness, that lasts for ever.