{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R300",
  "content_hash": null,
  "slug": "fib-claim-primary-gaps",
  "type": "claim",
  "title": "Primary gaps in nonzero support follow a Fibonacci formula",
  "summary": "The largest observed gaps run from F_{k-1}+F_{k-4}-1 to F_k+F_{k-5}, with sizes 8,12,19,30,48,77 and onward.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-primary-gaps (“Primary gaps in nonzero support follow a Fibonacci formula”) records a bound, answer, status fact, or structural consequence. The record states: The largest observed gaps run from F_{k-1}+F_{k-4}-1 to F_k+F_{k-5}, with sizes 8,12,19,30,48,77 and onward.",
  "relevance_source": "recorded",
  "body": "This is an observed formula for the support sequence rather than a proved classification.",
  "status": "conjectured",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "answer line 303"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "answer line 303"
  },
  "models": [],
  "relations": [
    {
      "slug": "fib-problem-nonzero-support",
      "title": "Characterize the nonzero determinant indices",
      "object_type": "problem",
      "relation": "supports",
      "direction": "outgoing"
    },
    {
      "slug": "R266",
      "title": "Nonzero determinant support and Zeckendorf table",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
    }
  ]
}