2026-10-11 16:37 UTC

Anthropic claims its released Lean 4 formalization of Fermat’s Last Theorem is a complete, machine-checkable artifact produced with substantial AI assistance, potentially establishing repository-scale formalization as a credible AI-assisted mathematics workflow.

state: corroboratedheat: lowuncertainty: mediumconvergesscott: highai-assisted-mathematics formal-verification theorem-provingAnthropic

What is this?

On September 4, 2026 (a few secondary sources say Sept 5), Anthropic announced and released a complete Lean 4 formalization of Fermat's Last Theorem — the last open item on Freek Wiedijk's famous 100-theorems list — built by an internal Claude model working 'largely autonomously' over ~11 days on the prove2.me platform: ~13 million lines of Lean and ~29,500 intermediate theorems (excluding Mathlib), following the Wiles–Taylor–Wiles route via Darmon–Diamond–Taylor. The artifact is public on GitHub and, per Anthropic's technical report, was accepted by Lean's kernel plus an independent second checker (nanoda) with a comparator confirming the statement proved; it reuses Mathlib and Kevin Buzzard's Imperial College FLT work. Expert corroboration is strong but largely first-adjacent: Buzzard himself wrote 'Anthropic has beaten me to it' about his own multi-year formalization effort, Nature covered the release, and Lean's creator Leonardo de Moura amplified it. The AI-contribution claim (~6B output tokens, ~$300k at API rates) remains Anthropic-self-reported, and the case's Oct 2 addition — a spare-time, mostly-Claude Lean mechanization of an unrelated PL paper — is a first, self-reported hobbyist-scale replication of the workflow.

Why it matters to Scott

The world has now twice independently arrived where Scott's canon already sits — Anthropic's kernel-checked 13M-line FLT artifact, then a spare-time mostly-Claude replication proving the workflow transfers to hobbyist scale — a dated-receipts opportunity for his verification-cost / 'trust the tests, not the AI' doctrine, with the ~$300k, 6B-token burn audited exactly by Mature-Token-Law conversion into a machine-checkable result and an 11-day run that shatters his one-hour-ceiling architecture. The still-unaudited artifact also keeps his provenance-stack question live: ~13M lines no human will read, unquantified AI contribution, and open kernel-soundness questions map directly onto agent-provenance and mechanically-different-verifier concerns.
ip:concept.verification-costip:framework.ai-legacy-takeoverip:framework.the-mature-token-lawip:source.how-to-do-a-months-work-in-1-day-ebookip:framework.long-running-agentsip:concept.mechanically-different-verifiersip:framework.agent-provenance-stackradar:concept.formal-verificationradar:concept.theorem-provingradar:concept.token-economicsradar:valsai-sonnet55-thomson-lean-proofradar:hopf-proof-codex-lean-formalizationradar:proofatlas-collatz-formalizationradar:gaearon-conway-refinement-proofradar:kbr-ai-formalized-math-proofradar:vero-formally-verified-agent-repositories
queries asked of Scott's wikis
  • long-horizon autonomous agent runs with machine-checkable reward signal
  • agent-generated artifacts humans cannot read: trust, provenance, audit
  • verification-as-environment: compilers, type systems, proof kernels as agent eval loops
  • economics of massive token-burn agent runs vs value of output
  • agent-maintained knowledge bases with machine-checkable ground truth
  • frontier lab capability demos as signals for local/open-model gap

Measured heat

now 0 pts/hpeak 1 pts/hcomments 0/hpeers p14momentum: steady2 platformsage 885h
points/hour across evidence · reading as of 2026-10-12 02:59:37.977291+11:00 · deterministic, not a model opinion

How the heat travelled

09-04 18:42⭐ origin directly observedFormalizing Fermat's Last Theorem
jlebar on hacker news
—
09-04 18:57first on hacker news · published · +0.2hFermat's Last Theorem in Lean 4
aaraujo002
—
09-04 19:07first on r/singularity · published · +0.4hAnthropic has formalised FLT!!
Wonderful_Buffalo_32
—
09-04 18:42amplified on hacker news 👑hn.story.49568506
jlebar
peak 773 · 511 comments · 63% of case engagement
09-04 18:57amplified on hacker newshn.story.49568697
aaraujo002
peak 146 · 32 comments · 9% of case engagement
09-04 19:07amplified on r/singularityreddit.post.1w7doha
Wonderful_Buffalo_32
peak 619 · 219 comments · 23% of case engagement
09-04 20:48amplified on r/singularityreddit.post.1w7gf6a
Unique-Bake-5796
peak 86 · 6 comments · 2% of case engagement
09-04 21:00amplified on hacker newshn.story.49570133
ravenical
peak 43 · 2 comments · 2% of case engagement
09-07 02:54amplified on hacker newshn.story.49593340
fourfire
peak 2 · 1 comments · 0% of case engagement
3 more amplifiers in ainews.case_chain
09-04 19:21our radar first saw it · +0.6hdiscovery anchor: reddit.post.1w7doha—
pace: p95 vs 519 stories at the 720h mark (now 885h old) — ahead of notion-mcp-undisclosed-upsell (1.0x), behind oui-1-generative-ui (0.9x)

Evidence (9) — ⭐ canonical anchor

sourceobjectauthorscorecomments
🟠 redditAnthropic has formalised FLT!!
singularity
Wonderful_Buffalo_32619218
🟧 hnFermat's Last Theorem in Lean 4aaraujo00214626
🟧 hn ⭐Formalizing Fermat's Last Theoremjlebar773511
🟠 redditFormalizing Fermat's Last Theorem
singularity
Unique-Bake-5796866
🟧 hnFermat's Last Theorem: Anthropic has beaten me to itravenical432
🟧 hnClaude formalized Fermat's Last Theorem in 11 daysfourfire21
🟧 hnAnthropic AI 'formalizes' proof of Fermat's last theorem in just 11 dayssbulaev61
🟧 hnWhat Happens When Formalization Becomes Cheap?matt_d10
🟧 hnShow HN: A lean formalization of From Linearity to Borrowingempath7510

Interpretation history

Decision trace