Anthropic says Claude completed the first machine-checkable Lean formalization of Fermat’s Last Theorem—a project experts expected to take years. The proof is the largest Lean formalization ever written at over 13 million lines and also formalizes 29,000+ supporting theorems. Anthropic frames it as a step toward AI-assisted verification of mathematical knowledge; the full proof is on GitHub.

Key Takeaways

  • ✓Milestone: first Lean formalization of Fermat’s Last Theorem; 13M+ lines, largest Lean proof to date.
  • ✓Coverage: also formalizes 29,000+ supporting theorems across areas that had never been formalized.
  • ✓Open source: full proof at github.com/anthropics/fermats-last-theorem plus a Science Blog write-up.
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