stipulated_definition
A prime number is an integer greater than one whose only positive divisors are one and itself.
Scope: Declared first-party usage for this encyclopedia entry; not a universal or empirical assertion.
Q100002 — Prime number
First-party 4P Engine Logos Encyclopedia editorial synthesis.
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.
An accepted stipulated definition establishes local encyclopedia usage; it is not empirical proof.
Accepted claims and scope
stipulated_definition
This entry uses the standard positive-divisor definition over the integers and does not classify one as prime.
Scope: Declared local editorial disambiguation or distinction for this entry; this claim sets usage and does not assert a contingent world fact.
stipulated_definition
A prime is distinguished from a composite integer by its positive divisors.
Scope: Declared local editorial disambiguation or distinction for this entry; this claim sets usage and does not assert a contingent world fact.
stipulated_definition
The definition applies to integers greater than one, not to arbitrary elements of a ring.
Scope: Declared local editorial disambiguation or distinction for this entry; this claim sets usage and does not assert a contingent world fact.
Disambiguation
This entry uses the standard positive-divisor definition over the integers and does not classify one as prime.
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.
Record-level original-text rights
Original-text rights attestation: Attested. The submitted definition, disambiguation, distinctions, and claim wording are original first-party editorial text; no external prose has been copied or adapted.
Source provenance and rights
No independently verified external source is asserted for the stipulative core.
Related atlas concepts — editorial navigation
Atlas relations are editorial navigation links, not validated equivalence or entailment.
- related: Euclidean geometry (atlas.concept.euclidean-geometry)
Review evidence boundary
Only accepted claims are eligible for the first-party core. External evidence remains bounded to its verified provenance; authorship attribution is not asserted.
Publication metadata
Status: published; protocol/version: logos_encyclopedia_published_v1 / 7; published: 2026-09-28T09:46:59.343Z