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ScienceAnthropic: Claude autonomously produces first machine-verified Lean proof of Fermat's Last Theorem
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Anthropic announced the first fully computer-verified proof of Fermat's Last Theorem, completed largely autonomously by its AI model Claude in 11 days. The formalization involved writing 13 million lines of Lean code and proving 30,300 theorems, ultimately using 29,500 of them. The scale of this effort is over five times that of Mathlib, the standard mathematical library for Lean. The original publication details the formalization path, the Prove2Me platform mechanism, and code scale, illustrating a feasible approach for AI to automatically formalize large-scale mathematical proofs. This achievement marks a significant milestone in AI-driven mathematical research and automated theorem proving.
Source report
Anthropic has announced the first fully computer-verified proof of Fermat's Last Theorem. The formalization was completed largely autonomously by Claude in 11 days.
Key Results
- Code scale: 13 million lines of Lean code
- Theorems proved: 30,300 (with 29,500 ultimately used)
- Scale: Over 5 times that of Mathlib
Methodology
The original text details the formalization path, the Prove2Me platform mechanism, and code scale, providing insight into a feasible approach for AI to automatically formalize large-scale mathematical proofs.
Source
aihotNeutral / independent
Part of this Story
Anthropic’s Claude completes first machine-verified Lean proof of Fermat’s Last Theorem in 11 days