Anthropic uses Claude to formalise Fermat's Last Theorem
Anthropic has used its AI model Claude to formalise the proof for Fermat's Last Theorem in 11 days. The resulting code spans 13 million lines and verifies Andrew Wiles' historic 1994 proof.

What happened?
AI company Anthropic has used its AI model Claude to formalise the proof of Fermat's Last Theorem. The project was led by researcher Tianyi Peng and completed in just 11 days. The AI model translated Andrew Wiles' historic 1994 proof into code that can be automatically verified by a computer.
Key facts
| Tidsåtgång | 11 dagar |
|---|---|
| Kodomfång | 13 miljoner rader Lean-kod |
| Mänskligt bevis år | 1994 (Andrew Wiles) |
| Ansvarig forskare | Tianyi Peng |
”a machine could turn the work of human mathematicians into a 13-million-line-long, ironclad proof just completely blew my mind”
Why it matters
Fermat's Last Theorem remained unproven for over 300 years before Andrew Wiles presented his proof in 1994. Human proofs of this magnitude often contain subtle gaps or are extremely difficult to audit in detail. Formalising the proof into machine-readable code ensures its absolute accuracy and demonstrates that AI can handle advanced theoretical mathematics.
Who is affected?
This milestone primarily affects mathematical researchers, AI developers, and academic institutions. The technology enables researchers to validate long, complex theoretical proofs more quickly and reliably.
Impact on the EU
The development entails no specific geographical limitations and is fully accessible and relevant to researchers and AI developers within the EU.
What else you should know
The formal proof consists of 13 million lines of code verified by the interactive theorem prover Lean. This milestone illustrates how large language models can be used to eliminate human error when verifying extremely complex mathematical frameworks.
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