RH would require completely novel insight and a brilliant original thought. Unlike Navier-Stokes it's not a gradual effort and you cannot piggyback off of other mathematician's works, so "AI" will not solve it anytime soon.
There has been a lot of intermediate progress on the Riemann hypothesis, for example ruling out particular kinds of zeros, and some of those partial results even involve LLMs https://www.anthropic.com/research/riemann-zeta so I don't see why I can't possibly be a gradual effort.
This is what everyone thought about modularity of elliptic curves. Then Wiles straight up just counted them (indirectly). You shouldn't be so confident about things that you do not know (since, if you knew them, you'd have solved the Riemann hypothesis!).
On what basis do you make these claims? Honest question.
Which claims? The general feeling in the mathematical community was that significant progress towards Navier-Stokes was being made, and that the last "piece" to settle the question was imminent for some years now. Riemann Hypothesis seems virtually as unreachable today as it was 50 years ago.