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OpenAI News·Sep 8, 2026, 10:00 AM

OpenAI Shares AI-Generated Solution to Navier–Stokes Millennium Prize Problem

Original title:On the Navier–Stokes Millennium Prize Problem

Papers92

OpenAI has published an AI-generated solution to the Navier–Stokes Millennium Prize Problem, accompanying the writeup with a formal proof implemented in Lean. While interactive theorem provers allow the machine's deductive steps to be checked mechanically line by line, the mathematical community and the Clay Mathematics Institute have yet to independently review the work. The release reflects the expanding reach of automated reasoning into long-standing foundational mathematics.

Why it's worth reading

If verified by the mathematical community, this marks the first Millennium Prize problem solved with AI-generated formal proofs, offering a critical test for machine reasoning.

Tags

OpenAILeanNavier-Stokes形式化证明数学推理AI4Math

Score breakdown

  • Novelty98
  • Impact95
  • Practicality65
  • Credibility70
  • Timeliness95