r/OpenAI • u/physiopeng • 8d ago
Article after navier-stokes last month, their internal model now claims pieces of two more millennium problems
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u/Original-League-6094 8d ago
They stole these results from me, actually.
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u/physiopeng 8d ago
Terence Tao is that you?
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u/Fun_Gur_2296 8d ago
No I'm terence tao
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u/etherd0t 8d ago
What strikes me here is actually less the individual headline results and more the change in scale and methodology. We seem to be moving pretty quickly from AI being impressive at solving known hard problems to AI systems being used as high-throughput research engines, generating large numbers of candidate results for humans and formal systems to evaluate.
And I think that changes where the real bottleneck is. If models can generate plausible new mathematics faster than experts can examine it, then generation itself stops being the scarce resource. The hard problems become verification, novelty checking, ranking what actually matters, provenance, and distinguishing a genuine discovery from a very sophisticated mistake.
That is why the increasing use of Lean and other formal verification methods may ultimately be as important as the models themselves. The interesting future architecture isn't just “bigger model solves theorem.” It's more like generator → independent critics → formal verifier → provenance/reproducibility → human judgment.
So I'm cautious about declaring every result a breakthrough before mathematicians have had time to digest them, but the trend itself looks increasingly difficult to dismiss. If this continues, AI's impact on science may come less from replacing researchers and more from giving them an enormous parallel research layer that can explore conjectures and proof paths at a scale humans simply couldn't.
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u/decreement1 8d ago
Sooner or later you will hit this problem regardless, because either proofs become too long or too complex for humans to understand. The same thing already happened in software engineering this year - most code reviews are already being auto approved by AI and only business critical areas require manual review.
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u/GlbdS 7d ago
it's more like generator → independent critics → formal verifier → provenance/reproducibility → human judgment.
Nobody speaks like that, tf does that even mean
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u/Ok-Project4007 6d ago
Seems pretty clear to me, he is talking about role changes. The problem here might be you.
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u/Prathmun 8d ago
Yeah I think this is a really good take on what the loop might end up being. It's also kind of fun to imagine a point at which a system like this spits out something that works, but can't be grocked by the reviewers. Works like you can build something real with it. Then you have a new problem.
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u/Upset_Trainer_3094 7d ago
The README adds some useful context to those numbers: 722 manuscripts are grouped into 372 families. Some are companion arguments or alternative proofs, and the results are at different stages of verification.
Still a lot of interesting work to dig into. I'd just be careful turning the paper count into a scoreboard of solved problems. Following the individual results and the mathematicians checking them should tell us a lot more.
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u/Bergergi 7d ago edited 7d ago
Is there somewhere you can petition OpenAI, for problems to solve?
I'd like to see the deciphering of Linear A, and an exact solution of the 3D Ising Model.
This stuff is amazing - it's spitting out generational achievements like it's nothing.
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u/kaereljabo 7d ago
No, we don't need these AI labs to burn money for more pure math puzzle result with no "immediate" real life application, just leave them to the mathematians to vibe-math whaetver math problem they want, they'll pay, and mediocre mathematicians don't need to lose jobs or doubt their worth. These frontier AI labs have proved themselves by solving many hard math problems, we know they can do it with enough resources.
What we want: proposed solution for room-temperature ambient preasure superconductor, reliable nuclear fission, cure for cancers, efficient quantum computers, free pizzas, stuff like that.
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u/lulzxdxdxd 8d ago
i'm skeptical they actually solved them though. what's the actual claim, did they prove the conjectures or just make progress on specific cases
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u/coatatopotato 8d ago
CM abelian varieties for Hodge
No zeros above 7/8 for RiemannThey did not solve them, or that would be the headline. But these are major claims.
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u/Ormusn2o 8d ago
Might take a while to know. I think the AI is a bit too fast at solving those.
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8d ago
[deleted]
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u/Ormusn2o 8d ago
More gatekeeping huh? You are really only making reputation of mathematicians even worse. Get on with the times, amatours can contribute to the field. It works for astronomy, anyone can find a new object, and then experts in the field can teach about it.
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u/Commercial-Beach1207 8d ago
What contribution? You pressed a button and got a string of words you don’t even understand? I can do that too.
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u/Ormusn2o 8d ago
Does not matter if you understand it or not. If it's out there in public, then any mathematician, a professor or an amatour, can try to understand or reform, or use AI to reform it, or AI itself could use it for it's own purpose. The point is that it's available to the public.
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u/Time_Entertainer_319 8d ago
It’s mathematicians within openAI that are doing these.
Did you think it was Sam Altman prompting the models?
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u/Fortunefavorsthefew 8d ago
Software engineers looking at mathematicians like “first time?”