• Home
  • Technology
  • Gaming
  • Entertainment
  • World & Business
  • Science
  • Sports
  • AI
HomeTechnologyGamingEntertainmentWorld & BusinessScienceSportsAI
    • HomeTechnologyGamingEntertainmentWorld & BusinessScienceSportsAI
    • Home
    • Technology
    • Gaming
    • Entertainment
    • World & Business
    • Science
    • Sports
    • AI
    AI

    Claude Formalizes Fermat's Last Theorem in Lean

    Anthropic's AI generated a Lean formalization of the theorem along with supporting proofs.

    RO
    PM
    NM
    11 Sources, 26d ago, first seen 26d ago

    TLDR

    Zephyr posted that a proof of Fermat's Last Theorem was completed in Lean with over 13 million lines of code and more than 29,000 supporting theorems. Nat McAleese stated that Claude produced the formalization in 11 days. Multiple accounts including Lisan al Gaib and Rohan Paul repeated the claim that the model handled the full formalization task. Albert Jiang and others discussed implications for reducing manual work in turning mathematical arguments into machine-checkable steps. The posts reference an AnthropicAI update on the effort.

    Combined views

    186.5K

    11 Sources, first seen 26d ago

    Combined views

    186.5K

    11 Sources, first seen 26d ago

    2K likes
    2K likes
    59 comments
    339 saves
    88 reposts

    Sentiment

    Positive84.2%15.8%Negative

    Based on 20 sentiment-bearing replies from 19 accounts across 4 conversations.

    59 comments
    339 saves
    88 reposts

    Sentiment

    Positive84.2%15.8%Negative

    Based on 20 sentiment-bearing replies from 19 accounts across 4 conversations.

    Today's Rank

    —

    Not ranked yet

    Today's Rank

    —

    Not ranked yet

    11 Sources

    @zephyr_z9"Fermat’s Last Theorem was first proven in 1995 by Sir Andrew Wiles, more than 350 years after it was conjectured. Our proof, which totals over 13 million lines of code, provides machine verification. More importantly, it proves over 29,000 other theorems that the proof requires, across many areas of math which had never before been formalized."
    @scaling01Claude wrote 13 million lines of Lean and proved 29,500 intermediate theorems over 11 days to formalize the proof of Fermat's Last Theorem
    @__nmca__Claude wrote 13 million lines of coherent Lean code to formalise Fermat’s last theorem in 11 days. Large implications for formal verification as a whole.
    @rohanpaul_aiAnother serious win for AI in mathematics: Claude formalized Fermat’s Last Theorem in 11 days. AI may now finally be able to automate the extremely labor-intensive job of turning advanced human mathematics into proofs that software can check line by line. The process took 11 days despite expectations that formalizing Fermat's Last Theorem would take years, producing 13 million lines of Lean and 29,500 intermediate theorems used in the final proof. dozens of Claude agents took the existing Wiles-based proof and converted all the missing logical details into Lean code that a computer could check. and Lean successfully verified the finished proof. So now AI can automate an enormous amount of the painstaking work required to turn advanced human mathematics into machine-checkable mathematics.
    @tszzlit does make you wonder which math problems will be beyond the comprehension of the Dyson cloud superintelligent civilizations of 2370 and if any present day open problems will remain open.
    @AlbertQJiang1. No one should do purely artisanal formalisation except for learning 2. It's insane if schools don't give STEM graduate students subscriptions and credits to coding agents 3. AI is good at forcing people to be honest. Deniers are delusional. 4. I think everything I wrote in March happened: https://albertqjiang.github.io/thoughts/agri-math Formalisation will be required in journals and for the sake of the community, invest in OS tools and models!
    @patrickshaftoRemarkable
    @patio11That probably wasn’t tractable in any form of industrial organization up until a year ago, because there literally were not enough mathematicians in the world.
    @irinarishAmazing!

    11 Sources

    @zephyr_z9"Fermat’s Last Theorem was first proven in 1995 by Sir Andrew Wiles, more than 350 years after it was conjectured. Our proof, which totals over 13 million lines of code, provides machine verification. More importantly, it proves over 29,000 other theorems that the proof requires, across many areas of math which had never before been formalized."
    @scaling01Claude wrote 13 million lines of Lean and proved 29,500 intermediate theorems over 11 days to formalize the proof of Fermat's Last Theorem
    @__nmca__Claude wrote 13 million lines of coherent Lean code to formalise Fermat’s last theorem in 11 days. Large implications for formal verification as a whole.
    @rohanpaul_aiAnother serious win for AI in mathematics: Claude formalized Fermat’s Last Theorem in 11 days. AI may now finally be able to automate the extremely labor-intensive job of turning advanced human mathematics into proofs that software can check line by line. The process took 11 days despite expectations that formalizing Fermat's Last Theorem would take years, producing 13 million lines of Lean and 29,500 intermediate theorems used in the final proof. dozens of Claude agents took the existing Wiles-based proof and converted all the missing logical details into Lean code that a computer could check. and Lean successfully verified the finished proof. So now AI can automate an enormous amount of the painstaking work required to turn advanced human mathematics into machine-checkable mathematics.
    @tszzlit does make you wonder which math problems will be beyond the comprehension of the Dyson cloud superintelligent civilizations of 2370 and if any present day open problems will remain open.
    @AlbertQJiang1. No one should do purely artisanal formalisation except for learning 2. It's insane if schools don't give STEM graduate students subscriptions and credits to coding agents 3. AI is good at forcing people to be honest. Deniers are delusional. 4. I think everything I wrote in March happened: https://albertqjiang.github.io/thoughts/agri-math Formalisation will be required in journals and for the sake of the community, invest in OS tools and models!
    @patrickshaftoRemarkable
    @patio11That probably wasn’t tractable in any form of industrial organization up until a year ago, because there literally were not enough mathematicians in the world.
    @irinarishAmazing!