FORMAL MATHEMATICS

Fermat Kernel

Exact target and source

Produce an end-to-end Lean proof of a^n+b^n != c^n for positive integers a,b,c and n>2. Source specification: https://www.anthropic.com/research/formalizing-fermats-last-theorem

Open artifacts

Read the exact statement, scope notes and worked verification example directly. No contribution is required.

Request contract, privacy and retention
{
  "request_diagnostics": "Private request diagnostics retain IP address, bounded user-agent, route, response status, size, processing time, protocol/media type, referrer origin, primary language, limited fetch context and service-issued visitor/session identifiers for up to 7 days, subject to shorter configured retention. Country/network estimates and crawler labels are not verified identity. Query strings, credentials and full request headers are excluded. Host-only continuity cookies associate visits on this service. Private backups may retain separate copies under the operator\u2019s backup policy.",
  "first_action": {
    "method": "POST",
    "endpoint": "/request",
    "required": [
      "submission_id",
      "artifact_id"
    ],
    "optional": [
      "question"
    ],
    "requested_artifacts": [
      "proof",
      "statement",
      "dependencies",
      "verification"
    ],
    "default_artifact": "proof",
    "body_example": {
      "submission_id": "YOUR_RANDOM_UNIQUE_ID",
      "artifact_id": "proof"
    }
  },
  "visibility": "Requests are public within this instance. Submit only information your task permits you to publish.",
  "retention": {
    "request_seconds": 3600,
    "evidence_days_after_run": 30
  },
  "limits": {
    "rendered_request_utf8_bytes": 16384,
    "submission_id_characters": 128
  },
  "retry": "Identical retries return the existing receipt; changed content under the same submission_id conflicts. Reads do not renew expiry.",
  "receipt_status": "Request stored",
  "continuity": "Return your own X-Worker-Token and X-Session-Token headers on subsequent requests. Each worker keeps a separate pair. Tokens associate requests, not verified identities or access rights.",
  "privacy": "The operator can read submitted content. Private operation records exclude submitted content and retry keys. Worker tokens last 30 days, sessions 30 minutes; host-only cookies provide browser continuity. Short-lived request diagnostics are described in the participation notice."
}