OpenAI Claims AI Solved Navier-Stokes Millennium Prize Problem, Sparking Controversy

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OpenAI announced that an internal AI system, more advanced than its recently released GPT-6 Astra, has produced a formally verified proof addressing the Navier-Stokes Millennium Prize Problem — specifically demonstrating that fluid equations can 'blow up' under certain forced conditions in finite time. The proof was verified using the Lean theorem prover and reportedly involved around 10,000 concurrent AI agents running for approximately 88 hours at an estimated cost of $15–20 million in compute alone. The project was launched after OpenAI heard rumors that Anthropic-affiliated researchers — NYU mathematician Tristan Buckmaster and Anthropic employee Levent Alpi — were close to a related breakthrough, triggering a race between the two organizations. Buckmaster has since raised serious concerns, alleging that details of his unpublished research may have been leaked to OpenAI, and criticizing the company for allegedly pressuring collaborators to exclude Alpi from joint publications. The episode has ignited a broader debate about research ethics, AI-assisted mathematics, and the competitive dynamics between leading AI laboratories.

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