Claude Produces First Formalized Proof of Fermat's Last Theorem in Lean

Anthropic ·

Key Info

Anthropic's Claude has completed the first formalized proof of Fermat's Last Theorem using the Lean proof assistant, producing the largest Lean proof ever written—a milestone experts expected would take many years.

Highlights

  • Formalization lets computers verify mathematical reasoning, reducing the need for years-long human review of complex proofs.
  • Fermat's Last Theorem, originally proven by Sir Andrew Wiles in 1995, is now fully verified in Lean by Claude.
  • The result represents a major advance in AI-driven mathematical research and proof automation.
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