{
  "id": 5619754,
  "title": "Formalizing Fermat's Last Theorem",
  "url": "https://urgent.news/2026/09/04/formalizing-fermats-last-theorem",
  "topic": "ai",
  "section": "AI",
  "published": "2026-09-04T18:42:56.000Z",
  "source": {
    "name": "Hacker News",
    "slug": "hacker-news",
    "url": "https://www.anthropic.com/research/formalizing-fermats-last-theorem"
  },
  "original_language": "en",
  "account": "We present the inaugural computer-verified proof of Fermat's Last Theorem (FLT). Claude, an Anthropic AI, authored the proof in the Lean programming language over 11 autonomous days. This verification, devoid of any assumptions beyond basic mathematical axioms, confirms FLT's truth. Claude generated 13 million lines of Lean code and proved 29,500 intermediate theorems to arrive at this result.\n\nFermat initially conjectured FLT in 1637, stating that no positive integers a, b, c can satisfy a^n + b^n = c^n for any n > 2. The theorem remained unproven for centuries until Sir Andrew Wiles presented a 129-page proof in 1995, which took months to verify. To formalize Wiles's proof, mathematicians began encoding complex reasoning into computer-readable form, culminating in Kevin Buzzard's 2024 effort using the Lean proof assistant.\n\nClaude's achievement surpasses expectations, demonstrating its capability to autonomously formalize FLT. The process involved writing 13 million lines of Lean and proving 29,500 intermediate theorems. Kevin Buzzard confirmed the proof's validity, stating that it verifies FLT without additional assumptions, building upon a simplified version of Wiles's original proof. Claude's work not only validates FLT but also paves the way for a future where mathematical proofs can be readily checked, enhancing trust in the mathematical knowledge base.",
  "summary": null,
  "key_points": [
    "Claude AI authored 11-day, computer-verified proof of FLT in Lean programming language",
    "Generated 13 million lines of code, proving 29,500 intermediate theorems",
    "Validates FLT without assumptions, enhancing trust in mathematical knowledge"
  ],
  "editors_take": null,
  "illustration": null,
  "coverage": {
    "outlets": 2,
    "also_reported_by": [
      {
        "outlet": "Hacker News Best",
        "title": "Formalizing Fermat's Last Theorem",
        "url": "https://urgent.news/2026/09/04/formalizing-fermats-last-theorem-5647201",
        "published": "2026-09-04T18:42:56.000Z"
      }
    ]
  },
  "ai_generated": true,
  "disclaimer": "Summaries, key points and the editor’s take are written by software from other outlets’ reporting and may contain errors — always check the linked original."
}