OpenAI Claims AI System Has Solved the Century-Old Navier–Stokes Problem
The Navier–Stokes equations, which describe fluid motion in systems ranging from ocean waves to aircraft aerodynamics, have carried an unsolved mathematical question for over a century: whether smooth fluid solutions can break down into singularities over time. This question was designated one of the Millennium Prize Problems, carrying a $1 million award for a valid proof. In September 2026, OpenAI announced that an internal AI system had produced a claimed solution to this longstanding problem. The announcement has drawn significant attention from the mathematics community, which is now evaluating how to verify and validate a proof generated by an artificial intelligence. Beyond the claim itself, experts say the episode raises broader questions about the standards and processes needed to assess AI-generated mathematical discoveries.
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