{
  "qid": "Q100002",
  "title": "Prime number",
  "slug": "prime-number",
  "protocol": "logos_encyclopedia_published_v1",
  "canonical": "https://mcbcore.net/q/Q100002",
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    "markdown": "https://mcbcore.net/q/Q100002.md"
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  "authorship": "First-party 4P Engine Logos Encyclopedia editorial synthesis.",
  "author": {
    "name": "4P Engine",
    "type": "Organization",
    "work": "Logos Encyclopedia"
  },
  "distinction": "This is first-party 4P Engine editorial work, distinct from Maclain Hunter's static Q works and from provisional Wikidata-derived items.",
  "definition": "A prime number is an integer greater than one whose only positive divisors are one and itself.",
  "definitionInterpretation": "An accepted stipulated definition establishes local encyclopedia usage; it is not empirical proof.",
  "disambiguation": "This entry uses the standard positive-divisor definition over the integers and does not classify one as prime.",
  "claims": [
    {
      "id": "claim.prime-number.definition",
      "text": "A prime number is an integer greater than one whose only positive divisors are one and itself.",
      "type": "stipulated_definition",
      "scope": "Declared first-party usage for this encyclopedia entry; not a universal or empirical assertion.",
      "evidence": [],
      "sourceIds": [],
      "authorship": "original_editorial"
    },
    {
      "id": "claim.prime-number.narrative.1",
      "text": "This entry uses the standard positive-divisor definition over the integers and does not classify one as prime.",
      "type": "stipulated_definition",
      "scope": "Declared local editorial disambiguation or distinction for this entry; this claim sets usage and does not assert a contingent world fact.",
      "evidence": [],
      "sourceIds": [],
      "authorship": "original_editorial"
    },
    {
      "id": "claim.prime-number.narrative.2",
      "text": "A prime is distinguished from a composite integer by its positive divisors.",
      "type": "stipulated_definition",
      "scope": "Declared local editorial disambiguation or distinction for this entry; this claim sets usage and does not assert a contingent world fact.",
      "evidence": [],
      "sourceIds": [],
      "authorship": "original_editorial"
    },
    {
      "id": "claim.prime-number.narrative.3",
      "text": "The definition applies to integers greater than one, not to arbitrary elements of a ring.",
      "type": "stipulated_definition",
      "scope": "Declared local editorial disambiguation or distinction for this entry; this claim sets usage and does not assert a contingent world fact.",
      "evidence": [],
      "sourceIds": [],
      "authorship": "original_editorial"
    }
  ],
  "distinctions": [
    "A prime is distinguished from a composite integer by its positive divisors.",
    "The definition applies to integers greater than one, not to arbitrary elements of a ring."
  ],
  "sources": [],
  "rights": {
    "originalRightsAttested": true,
    "statement": "The submitted definition, disambiguation, distinctions, and claim wording are original first-party editorial text; no external prose has been copied or adapted."
  },
  "atlas": {
    "conceptId": "atlas.concept.prime-number",
    "relatedConceptIds": [
      "atlas.concept.euclidean-geometry"
    ],
    "relations": [
      {
        "type": "related",
        "targetConceptId": "atlas.concept.euclidean-geometry",
        "label": "Euclidean geometry"
      }
    ],
    "relationInterpretation": "Atlas relations are editorial navigation links, not validated equivalence or entailment."
  },
  "publication": {
    "status": "published",
    "version": 7,
    "protocol": "logos_encyclopedia_published_v1",
    "publishedAt": "2026-09-28T09:46:59.343Z",
    "validatedAt": "2026-09-28T09:46:59.343Z",
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    "reviewDecision": "publish_core",
    "reviewEvidenceBoundary": "Only accepted claims are eligible for the first-party core. External evidence remains bounded to its verified provenance; authorship attribution is not asserted."
  }
}