OpenAI reportedly nears solving a second Millennium Prize math problem
After its unconfirmed Navier-Stokes claim drew a mathematician backlash, OpenAI is said to be close to cracking the Hodge conjecture too.
What to know
- OpenAI's September 8 claim of resolving a Navier-Stokes singularity remains formally unconfirmed and triggered criticism from parts of the math community.
- OpenAI is now reportedly close to solving the Hodge conjecture, another of the six remaining $1 million Millennium Prize Problems, using an unreleased model codenamed "Doug."
- After the earlier PR backlash, OpenAI is reportedly being more careful about how it announces the next result, and any announcement could be delayed.
- It remains unclear what OpenAI hopes to gain from the effort; some inside the company reportedly see it as feeding into recursive self-improvement rather than pure mathematics.
OpenAI AI developerCharles Fefferman Princeton mathematicianTristan Buckmaster NYU mathematicianLevent Alpöge Anthropic mathematicianLuis Martínez-Zoroa CUNEF University researcher
Jakub Pachocki OpenAI chief researcher
How it unfolded 2 developments, newest first · click a bar or a number to jump articlesposts
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Details emerge on OpenAI's cautious approach and unclear motive
The Decoder reports OpenAI used a variant of its next pretrained model, codenamed "Doug," likely costing millions of dollars, for the Navier-Stokes work, and that the company wants to avoid repeating the messaging backlash for any Hodge conjecture announcement; it remains unclear what OpenAI hopes to gain, though some inside the company link the effort to recursive self-improvement.
“The math community, meanwhile, is more angry than impressed.”
— The Decoder -
1 outlet OpenAI reportedly closes in on solving the Hodge conjecture, its second Millennium Prize Problem
first by The Decoder, 10d ago
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OpenAI is close to solving another math problem from the Millennium Prize Problems, the Hodge Conjecture. Via The Information For solving the first Millenium Prize Problem "OpenAI used a variant of its next pre-trained model, codenamed “Doug,” to solve that problem, the person
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Report says OpenAI staff expect the Hodge conjecture solved soon
The Information reports that OpenAI staff expect the company to solve the Hodge conjecture, another Millennium Prize Problem, relatively soon, following the Navier-Stokes claim.
“I was thrilled that the problem was solved.”
— Charles Fefferman, Princeton mathematician, author of Clay Institute's Navier-Stokes description · source -
first by The Information, 10d ago
1 more headline
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OpenAI is close to solving the Hodge Conjecture, another millennium prize problem — I assume they've already solved it, just trying to figure out how to break the news nicely given that historically these announcements haven't resulted in positive press — www.theinformation.com/newsletters/ ...
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background
Mathematicians credit Córdoba and Martínez-Zoroa, react to the claim — Princeton's Charles Fefferman, author of the Clay Institute's official Navier-Stokes problem description, called the underlying strategy from Diego Córdoba and Luis Martínez-Zoroa the real breakthrough behind both AI-enabled results.
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background
OpenAI says AI agents resolved a Navier-Stokes singularity — OpenAI mathematicians announced that 10,000 autonomous AI agents, running on an unreleased advanced model, found a singularity in the three-dimensional Navier-Stokes equations, resolving one of the six remaining Millennium Prize Problems; the result was checked in the Lean proof language.
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background
Buckmaster and Alpöge announce related Navier-Stokes results — Tristan Buckmaster of NYU and Levent Alpöge of Anthropic announce they resolved several problems closely related to the Navier-Stokes singularity question, with help from various AI models, about 12 hours before OpenAI's own announcement.
