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OpenAI claims Navier-Stokes blow-up proof; mathematicians dispute credit

ResearchScienceFrontierUSConfirmed

OpenAI said an internal model beyond GPT-6 Astra, run as about 10,000 parallel agents for 88 hours, proved that a smooth forced 3D fluid starting at rest can develop a finite-time singularity, which would answer the Millennium Prize problem in the negative; it released a Lean check and a companion Euler result. NYU's Tristan Buckmaster said the approach followed unpublished work by him and Anthropic's Levent Alpöge and alleged pressure over authorship; OpenAI denies seeing it and will not claim the prize, and no independent acceptance has yet been reported.

Why it matters

It is the biggest AI maths claim yet and a test of credit, data use and verification norms when frontier labs do research.

SourceOpenAICoverage: Live ScienceCoverage: Decrypt Checked against the primary source. Independently fact-checked on 7 Oct 2026.
OpenAIAnthropicNew York UniversityClay Mathematics Institute

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