GoKawiilOpenAI claims AI-driven proof of Navier–Stokes problem amid dispute with NYU mathematician
OpenAI says an unreleased model produced a resolution to the Navier–Stokes existence and smoothness problem, one of seven Millennium Prize Problems carrying a $1 million reward. NYU professor Tristan Buckmaster, who had spent nearly a year on related work with Anthropic researcher Levent Alpöge using Claude and Codex, rushed out his own paper alleging OpenAI's team began work only after hearing rumors of his breakthrough, and that OpenAI would not clarify whether its model had accessed his private drafts.
GoKawiil's interpretation of the reporting above, not reported fact.
The episode highlights how AI labs are now racing to claim credit for solving major open math problems, raising questions about research integrity, data provenance, and whether AI models could have been trained on or exposed to competitors' unpublished work. It also underscores tension between rival AI companies collaborating with academic mathematicians while competing commercially, complicating attribution and trust in AI-assisted scientific discovery.
- OpenAI says an unreleased model resolved a Millennium Prize Problem, a $1M-reward mathematical challenge.
- NYU professor Tristan Buckmaster accuses OpenAI of learning about his unpublished breakthrough and racing to replicate it.
- OpenAI declined to clarify whether its model had access to private Codex sessions used by Buckmaster and Anthropic's Levent Alpöge.
Navier-Stokes Equations by Roger Temam — If the Millennium Prize headlines have you curious about what makes fluid flow so mathematically stubborn, Temam's classic text is the standard graduate-level entry point into the theory and numerical analysis of Navier–Stokes. It's a rigorous companion for anyone wanting to actually follow the existence-and-smoothness debate rather than just read about it.
See Navier-Stokes Equations by Roger Temam on Amazon → Affiliate link — we may earn a commission on purchases, at no extra cost to you. Product picked by AI based on this article; it is not a tested recommendation.Source: simonwillison.net — Simon Willison, 2026-09-09
Published there as: “The Navier–Stokes Millennium Prize Problem”
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