Research2026-09-08

OpenAI said its AI agents produced a solution to the Navier-Stokes equations. Those formulas describe how liquids and gases move, and have stood unsolved for about 90 years. The Clay Mathematics Institute offers a $1 million prize for a solution. OpenAI says it will not claim the prize. Roughly 10,000 agents worked at once, exchanging millions of messages before reaching a result. Verification of the proof took a further 17 hours. LisanBench, a benchmark evaluator, estimated the compute would cost tens of millions of dollars at consumer prices. Sam Altman replied on X with a joke about an AI bubble. Two mathematicians, Tristan Buckmaster and Levent Alpoge, questioned whether their research data was used in training. OpenAI denied direct access but could not rule out that de-identified user data helped improve its models.

What changed

The Navier-Stokes problem had stood unsolved for about 90 years.

  • 130 billion tokens used
  • 2.7 million agent messages
  • ~10,000 concurrent agents
  • 88 hours plus 17 to verify

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