Formalizing Fermat's Last Theorem

Anthropic has used its Claude 3.5 Sonnet model to successfully formalize the proof of Fermat’s Last Theorem within the Lean mathematical assistant software. This development marks a significant milestone in automated reasoning, as it demonstrates that large language models can now navigate complex, multi-step mathematical logic to verify rigorous proofs. By bridging the gap between human-written proofs and machine-readable code, this capability could accelerate the discovery and verification of new mathematical theories by automating the labor-intensive process of formalizing academic research.