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Anthropic AI ‘formalizes’ proof of Fermat’s last theorem — a milestone for mathematics

Nature AI Theorem Proving Davide Castelvecchi 2026-09-07

TL;DR - Anthropic’s Claude reportedly formalized a proof of Fermat’s last theorem into 13 million lines that were computer-checked. Completing the task in 11 days marks a notable milestone for AI-assisted formal mathematics.

  • The result concerns formalizing the famed theorem, rather than discovering its original proof.
  • Computer checking provides machine verification of the generated formal proof.
  • The proof’s 13-million-line scale highlights the substantial complexity of translating mathematics into a formal system.
  • The limited item content does not specify the Claude model, proof assistant, or degree of human involvement.

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