Claude completes formal verification of Fermat’s Last Theorem

01 What happened

Anthropic states that its AI model, Claude, has successfully generated the first end-to-end, computer-checked formalization of Fermat’s Last Theorem.

02 Key details

• The task required 13 million lines of Lean code, which is more than five times the size of the Mathlib community library.
• Claude completed the project in 11 days, proving over 29,000 intermediate theorems as part of the process.
• The formalization utilized Prove2Me, an open collaborative platform developed by researchers at Columbia University.

03 Why it matters

This project highlights the potential for AI-assisted formalization to rigorously verify complex mathematical proofs, potentially streamlining the validation process for new research.

04 Who it matters to

Mathematicians, software developers and artificial intelligence researchers.