Anthropic’s Claude completes first machine-verified Lean proof of Fermat’s Last Theorem in 11 days
Anthropic announced that its AI model Claude autonomously produced the first fully computer-verified proof of Fermat’s Last Theorem in 11 days. The formalization involved writing 13 million lines of Lean code and proving 30,300 theorems, ultimately using 29,500 of them. This is over five times the scale of Mathlib, the standard Lean mathematical library, and marks a major milestone in AI-driven mathematical research.
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Anthropic: Claude completes first fully computer-checked proof of Fermat's Last Theorem in 11 days
Anthropic announced that its AI model, Claude, has completed the first fully computer-checked proof of Fermat's Last Theorem in 11 days. While mathematician Andrew Wiles originally proved the theorem in 1995, Claude's achievement involved translating the existing proof into a format where every logical step can be verified by a computer. This task is significantly more complex than simple code translation, as human proofs often leave steps implicit and rely on centuries of mathematical research. Working largely autonomously, dozens of Claude agents produced 13 million lines of Lean code and roughly 29,500 supporting theorems, building on existing human work. The formalization included mathematics that had never been formalized before, spanning algebra, geometry, number theory, and harmonic analysis. This capability could help mathematicians check new research faster, identify hidden gaps, and rigorously evaluate AI-generated proofs.
Claude AI compresses years-long mathematical proof formalization into 11 days
A post on X by rohanpaul_ai reports that the AI system Claude has dramatically accelerated the formal verification of mathematical proofs, a process that traditionally takes years for humans. The post explains that normal mathematical proofs leave thousands of steps unstated, which human mathematicians can infer but formal systems like Lean cannot, requiring every definition, lemma, and logical step to be explicitly written. In the case of Fermat's Last Theorem, converting the proof into machine-checkable pieces was expected to take years. However, Claude completed this task in just 11 days. The post argues that this breakthrough makes formal verification practical for much more mathematics, which is increasingly important as AI produces more proofs than humans can manually review.
Claude formalizes Fermat's Last Theorem in 11 days, producing 13 million lines of Lean code
Anthropic's AI model Claude has successfully formalized Fermat's Last Theorem in just 11 days, a task previously expected to take years. The process involved dozens of Claude agents converting the existing Wiles-based proof into Lean code, producing 13 million lines of Lean and 29,500 intermediate theorems. The Lean proof assistant verified the finished proof, demonstrating AI's ability to automate the labor-intensive work of turning advanced human mathematics into machine-checkable proofs. This marks a significant milestone in AI's capability to handle complex mathematical formalization.
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Claude completes first formalized proof of Fermat's Last Theorem in 13 million lines of code
Anthropic announced that its AI model Claude has completed the first formalized proof of Fermat's Last Theorem, one of mathematics' most famous theorems. The proof, totaling over 13 million lines of code, provides machine verification of the theorem first proven by Sir Andrew Wiles in 1995. The project, which experts thought would take many years, is the largest Lean proof ever written and proves over 29,000 other theorems across many areas of mathematics that had never before been formalized. Anthropic views this as a major step in firming up the core of mathematical knowledge and believes AI-assisted verification of mathematical proofs will help reduce the burden of refereeing mathematics in an era of increasing proof production.
Anthropic's Claude autonomously produces first machine-verified Lean proof of Fermat's Last Theorem
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.