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OpenAI's largest math release tackles 4,000 problems with Lean proofs

OpenAI said the batch includes solutions or major progress on hundreds of open problems, with many proofs already checked in Lean.

  • On Tuesday, OpenAI released 722 AI-generated mathematical manuscripts in a public GitHub repository, organized into 372 research families spanning number theory and theoretical computer science.
  • OpenAI developed this release process with advice from the Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, seeking to "directly empower scientists with state-of-the-art capabilities."
  • The repository includes formal proofs in Lean, allowing computers to verify logical steps, while OpenAI provided reasoning summaries for 10 families showing how the model approached selected problems.
  • While the Advisory Group urged labs to refrain from treating results as marketing vehicles, OpenAI disclosed only average compute times; OpenAI spokesperson Lindsay McCallum said the company remains unbound by these recommendations.
  • The release adds to a growing body of AI-generated results the mathematical community is still processing, though mathematician Terence Tao has previously criticized the "insane" pace of such breakthroughs.
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Sam Altman’s company published more than 700 files that solve “high-impact” mathematical problems; the Association for Human Mathematics opposed the advancement of technological giants on these disciplines

·Vicente López, Argentina
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Only four weeks after the completion of a "Millennium Problem", the AI company Open AI releases results on 377 other, sometimes very high-ranking, theorems. The mathematicians are in shock.

·Frankfurt, Germany
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Wired broke the news in San Francisco, United States on Tuesday, October 6, 2026.
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