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OpenAI Says AI Model Solved One of Mathematics’ Millennium Prize Problems

  • On Tuesday, OpenAI announced its unreleased internal model solved the Navier-Stokes existence and smoothness problem using about 10,000 AI agents over 88 hours, producing a Lean-formalized proof of this Millennium Prize Problem.
  • Mathematicians Tristan Buckmaster, New York University professor, and Levent Alpöge, Anthropic researcher, had independently researched related fluid equations for nearly a year before OpenAI's announcement, triggering a dispute over methodology and credit.
  • Buckmaster alleges OpenAI pressured him to exclude Alpöge from authorship after learning of their progress; OpenAI researchers deny these claims, stating they did not access the pair's private work or Codex logs.
  • OpenAI's proof remains private, precluding independent verification required for the $1 million Clay Mathematics Institute prize, though the company stated it does not intend to claim the award.
  • Defining authorship and verification standards for AI-generated proofs presents significant challenges for mathematicians as corporate-driven discovery increasingly replaces traditional academic inquiry in the field.
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The artificial intelligence company OpenAI claims to have achieved a major breakthrough in solving one of the seven famous ‘millennium problems’ of mathematics. Using 100,000 AI agents and 88 hours of computing power, the model claims to have found a solution to the complex Navier-Stokes problem. In the mathematical world, the claim has been met with a mix of admiration and skepticism.

·Amsterdam, Netherlands (Kingdom of the)
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Lean Left

Whoever cracks it gets a million dollars: AI developer OpenAI claims to have solved one of the seven famous »millenium problems« of mathematics – supposedly in just 88 hours.

·Hamburg, Germany
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Lean Left

OpenAI announced that its artificial intelligence model has solved one of the seven Millennium Challenges in mathematics. Approximately 10,000 AI agents worked on the Navier-Stokes equations.

·Warsaw, Poland
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Lietuvos Radijas ir TelevizijaLietuvos Radijas ir Televizija
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Center

Technology giant OpenAI announced on Tuesday that one of its previously unreleased artificial intelligence (AI) models has solved a math problem that has eluded generations of mathematicians.

·Vilnius, Lithuania
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La República broke the news in Lima, Peru on Sunday, September 6, 2026.
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