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Comment by tmhn2 | Hacker News Reader

I wonder if they will continue to dump proofs, though? Their point has been made, the novelty will wear off, and it maybe won't be a priority use of their resources to spend however many millions on another big proof--they will move on to the next thing to show off I'm sure. At that point, the ones generating proofs will be, I hope, mathematicians (professional and otherwise) that are more interested in the results and community discussion.

(Well that's my hopeful, optimistic take, anyway.)

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They aren't going to stop at one, that's for sure. They already claimed they have "made substantial progress" on another millenium problem. Let's say they bag another one (Hodge and/or BSD according to the rumors), if it looks like their internal model could solve P/NP or Riemann Hypothesis, you think they wouldn't take that chance ?

If it's a counterexample to BSD, that would be pretty surprising.

It would also be a considerably more impressive achievement, because experts had mostly shifted to Navier-Stokes regularity being false, while as far as I know almost everybody thinks BSD is true. Hodge people seem less sure about.

If either conjecture is true and they prove it, that would be an even bigger success, since the techniques might unlock any number of other theorems.

They already told the NYT that they’ve made “substantial progress” on another one of the MP Problems (most likely the Hodge Conjecture).

That said, that’s probably just because of the drama miring their most recent one. After 2 I don’t see why they’d bother anymore.

>That said, that’s probably just because of the drama miring their most recent one. After 2 I don’t see why they’d bother anymore.

P/NP and the Riemann Hypothesis are part of the milllenium problems. They will 100% keep trying to crack those regardless.

I think AI companies making a point is not the only thing at play. Discovering new maths ultimately leads to new technologies and applications. It may start theoretically but end up being of practical use in the future. Even if humans do not understand it (lose interest, too complex, or just way too many new proofs to go though) AI can use this AI derived math corpus which will help it in other fields.

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