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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.

By the Aheadline editorial team·9 sep. 2026·2 min read·Source: Google News: Claude release (en)Aggregerad källaAI-generated
Anthropic uses Claude to formalise Fermat's Last Theorem
Anthropic uses Claude to formalise Fermat's Last Theorem
By · Policy- & EU-reporter

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

Tidsåtgång11 dagar
Kodomfång13 miljoner rader Lean-kod
Mänskligt bevis år1994 (Andrew Wiles)
Ansvarig forskareTianyi Peng

a machine could turn the work of human mathematicians into a 13-million-line-long, ironclad proof just completely blew my mind

Alex Kontorovich, Nummerteoretiker vid Rutgers University · Nature

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.

Frequently asked questions

Quick answers about this story

Vad har hänt?
Anthropic har använt sin AI-modell Claude för att formalisera och datorverifiera det komplexa beviset för Fermats sista sats.
När hände det?
Arbetet offentliggjordes i mars 2026 efter ett intensivt forskningsprojekt som tog 11 dagar att genomföra.
Varför spelar det roll?
Det visar att AI-modeller kan omvandla avancerad mänsklig matematik till maskinverifierbar kod på 13 miljoner rader, vilket garanterar bevisets korrekthet utan mänskliga fel marginaler.
Vem stod bakom projektet?
Forskningen har letts av Tianyi Peng och visade att Claude kunde översätta Andrew Wiles bevis från 1994 till språket Lean.
Original source
Google News: Claude release (en)·news.google.com

The link opens in a new window and leads to the publisher's own site.

Aggregerad källa

Källan är en aggregator eller syndikering — vi rekommenderar att verifiera hos primärutgivaren.

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Topics

#Large Language Models (LLMs)#Anthropic AI#LLM
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