Anthropic announced that Claude completed the first machine-verifiable formalization of Fermat’s Last Theorem, a project experts expected would take years. The Lean proof exceeds 13 million lines—the largest ever written—and also formalizes more than 29,000 supporting theorems that had never been machine-checked.

Key Takeaways

  • ✓Converts Andrew Wiles’ 1995 proof into a Lean-checkable artifact, the first full machine verification of the theorem
  • ✓At over 13 million lines, it is the largest Lean proof ever written and formalizes 29,000+ supporting results
  • ✓Anthropic frames this as AI-assisted verification that can ease refereeing; the complete proof is on GitHub
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