AI Insight
Anthropic AI's Claude system has successfully formalized a computer-verified proof of Fermat's Last Theorem in 11 days, producing a 13-million-line verification. This represents the translation of Andrew Wiles's original 1995 proof into a format that can be mechanically checked for logical correctness by automated theorem provers. The achievement demonstrates significant progress in AI-assisted formal mathematics and proof verification.
Why it matters
Formal verification of complex mathematical proofs increases confidence in their correctness and could accelerate mathematical research by allowing AI systems to assist in both proof discovery and validation. This milestone suggests that major historical theorems can be formalized much faster than previously thought, potentially making advanced mathematics more accessible and reliable.
Understand the Science
Nature, Published online: 07 September 2026; doi:10.1038/d41586-026-02822-9
Claude produced a 13-million-line, computer-checked proof of the famed conjecture — a major milestone in mathematics.
Source: Anthropic AI ‘formalizes’ proof of Fermat’s last theorem in just 11 days