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OpenAI AI System Solves 90-Year-Old Navier-Stokes Millennium Prize Problem, Proving Fluid Singularities Exist

Sep 09, 2026
OpenAI
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Summary

OpenAI claims an internal AI system more powerful than GPT-6 has solved the 90-year-old Navier-Stokes Millennium Prize Problem, proving that smooth 3D fluid motion can develop a singularity in finite time — a breakthrough achieved by roughly 10,000 concurrent AI agents over 88 hours using 130 billion output tokens.

Key Points

  • OpenAI reveals that an internal AI system, more capable than GPT-6 Astra, has solved the Navier–Stokes Millennium Prize Problem by proving that smooth three-dimensional fluid motion can develop a singularity in finite time, resolving a question that has remained open for roughly 90 years.
  • The proof, which includes a Lean formalization, describes a vortex that spirals inward and stretches like spaghetti until fluid velocity grows without bound, while energy remains finite — achieved through a multi-agent system of approximately 10,000 concurrent agents over about 88 hours using 2.7 million messages and 130 billion output tokens.
  • OpenAI states it does not intend to claim the Millennium Prize, acknowledges concurrent work by Levent Alpöge and Tristan Buckmaster on the related forced Euler problem, and frames the breakthrough as a snapshot of accelerating AI progress rather than a final milestone.

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