Fermat's Last Theorem formalised by AI agents in 11 days
AI agents powered by Anthropic's models have formalised the proof for Fermat's Last Theorem in just 11 days. The task was previously expected to take human mathematicians several years.

What happened?
A team of AI agents based on Anthropic's Claude models has successfully formalised the proof for Fermat's Last Theorem in the programming language and proof assistant Lean. The entire process took only 11 days, which is considerably faster than the several years experts previously estimated the work would require. The system broke down the complex proof and translated it into computer-verifiable code.
Key facts
| Tidsåtgång | 11 dagar |
|---|---|
| AI-utvecklare | Anthropic (Claude) |
| Ursprungligt bevisår | 1995 (Andrew Wiles) |
Why it matters
Fermat's Last Theorem was originally proven by the British mathematician Andrew Wiles in the mid-1990s, but the proof was hundreds of pages long and extremely complex. By converting the proof into formal code, computers can mathematically guarantee that the proof is entirely correct. Translating advanced mathematics into code has previously required enormous human effort, but this automation demonstrates that AI can significantly accelerate the process.
Who is affected?
The development primarily affects researchers in mathematics, theoretical computer science, and formal verification. Developers of AI agents and code generation tools are also impacted, as the method demonstrates how LLMs can be used for large-scale logical problem-solving and code generation within strict rule systems.
What else you should know
Formal verification using tools such as Lean allows computers to check every step of a mathematical proof without human error. Projects aiming to digitise complex mathematics have previously suffered from a significant shortage of human resources and time, making automation via AI agents a notable step forward for the field.
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