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Euler's theorem

Relationships observed in Wikidata. Connections do not establish verification or source support.

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Provider: Wikidata · graph projection only.

OBSERVED · GRAPH-PROJECTION · NOT ADMITTED · NOT VERIFIED · NOT SUPPORT

Edge identity is the provider property id (for example P31). It is not a Counterpedia predicate.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

Relationships of Euler's theorem

Show relationship types (drawing only; the text lists are unaffected)
Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)named after (Observed provider relationships)instance of (Observed provider relationships)studied by (Observed provider relationships)named after (Observed provider relationships)part of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)notable work (Observed provider relationships)Euler's theorem — Wikidata entity (Q193910)Euler's theoremWIKIDATA ENTITYFermat's little theorem — Wikidata entity (Q188295)Fermat's littletheoremWIKIDATA ENTITYn — Literal value (wikidata:literal:1:n)nLITERAL VALUE\varphi(n) — Literal value (wikidata:literal:2:\varphi(n))\varphi(n)LITERAL VALUELeonhard Euler — Wikidata entity (Q7604)Leonhard EulerWIKIDATA ENTITYtheorem — Wikidata entity (Q65943)theoremWIKIDATA ENTITYnumber theory — Wikidata entity (Q12479)number theoryWIKIDATA ENTITYPierre de Fermat — Wikidata entity (Q75655)Pierre de FermatWIKIDATA ENTITYlist of theorems — Wikidata entity (Q944443)list of theoremsWIKIDATA ENTITYa^{\varphi(n)} \equiv 1 \pmod n — Literal value (wikidata:literal:9:a^{\varphi(n)} \equiv 1 \pmod n)a^{\varphi(n)}\equiv 1 \pmod nLITERAL VALUEWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYa — Literal value (wikidata:literal:11:a)aLITERAL VALUE

Legend

  • Governed record relationships (solid)
  • Countergraph traversal (dashed)
  • Countergraph evidence (dotted)
  • Observed provider relationships (dash-dot)
  • Structurally derived (sparse dots)

Node shape identifies node kind only. Size, color, and position carry no meaning beyond hop distance from the root.

A line means a supported artifact carried an explicit structured relation. It does not mean the relation is true, admitted, verified, or authoritative.

Graph as text

Nodes (12)

  • Euler's theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q193910
    stable_ref
    Q193910
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q193910
    provider
    wikidata
    entity_href
    /entries/wikidata/Q193910
  • Fermat's little theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q188295
    stable_ref
    Q188295
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q188295
    provider
    wikidata
    entity_href
    /entries/wikidata/Q188295
  • n — Literal value
    Technical details
    node_id
    wikidata:literal:1:n
    stable_ref
    wikidata:literal:1:n
    node_kind
    wikidata_literal
    plane
    provider_observed
  • \varphi(n) — Literal value
    Technical details
    node_id
    wikidata:literal:2:\varphi(n)
    stable_ref
    wikidata:literal:2:\varphi(n)
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Leonhard Euler — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q7604
    stable_ref
    Q7604
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q7604
    provider
    wikidata
    entity_href
    /entries/wikidata/Q7604
  • theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q65943
    stable_ref
    Q65943
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q65943
    provider
    wikidata
    entity_href
    /entries/wikidata/Q65943
  • number theory — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q12479
    stable_ref
    Q12479
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q12479
    provider
    wikidata
    entity_href
    /entries/wikidata/Q12479
  • Pierre de Fermat — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q75655
    stable_ref
    Q75655
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q75655
    provider
    wikidata
    entity_href
    /entries/wikidata/Q75655
  • list of theorems — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q944443
    stable_ref
    Q944443
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q944443
    provider
    wikidata
    entity_href
    /entries/wikidata/Q944443
  • a^{\varphi(n)} \equiv 1 \pmod n — Literal value
    Technical details
    node_id
    wikidata:literal:9:a^{\varphi(n)} \equiv 1 \pmod n
    stable_ref
    wikidata:literal:9:a^{\varphi(n)} \equiv 1 \pmod n
    node_kind
    wikidata_literal
    plane
    provider_observed
  • WikiProject Mathematics — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q8487137
    stable_ref
    Q8487137
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q8487137
    provider
    wikidata
    entity_href
    /entries/wikidata/Q8487137
  • a — Literal value
    Technical details
    node_id
    wikidata:literal:11:a
    stable_ref
    wikidata:literal:11:a
    node_kind
    wikidata_literal
    plane
    provider_observed

Edges (13)

  • Euler's theorem — Relationship label not yet available → Fermat's little theorem — Observed provider relationships
    Technical details
    machine_predicate
    P7719
    predicate_ref
    wikidata:property:P7719
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P7719
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — Relationship label not yet available → n — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — Relationship label not yet available → \varphi(n) — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — Relationship label not yet available → Leonhard Euler — Observed provider relationships
    Technical details
    machine_predicate
    P1136
    predicate_ref
    wikidata:property:P1136
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P1136
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — named after → Leonhard Euler — Observed provider relationships
    Technical details
    machine_predicate
    P138
    predicate_ref
    wikidata:property:P138
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P138
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — instance of → theorem — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — studied by → number theory — Observed provider relationships
    Technical details
    machine_predicate
    P2579
    predicate_ref
    wikidata:property:P2579
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:6:P2579
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — named after → Pierre de Fermat — Observed provider relationships
    Technical details
    machine_predicate
    P138
    predicate_ref
    wikidata:property:P138
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P138
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — part of → list of theorems — Observed provider relationships
    Technical details
    machine_predicate
    P361
    predicate_ref
    wikidata:property:P361
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P361
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — Relationship label not yet available → a^{\varphi(n)} \equiv 1 \pmod n — Observed provider relationships
    Technical details
    machine_predicate
    P2534
    predicate_ref
    wikidata:property:P2534
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:9:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — Relationship label not yet available → WikiProject Mathematics — Observed provider relationships
    Technical details
    machine_predicate
    P6104
    predicate_ref
    wikidata:property:P6104
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:10:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Euler's theorem — Relationship label not yet available → a — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:11:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Leonhard Euler — notable work → Euler's theorem — Observed provider relationships
    Technical details
    machine_predicate
    P800
    predicate_ref
    wikidata:property:P800
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:12:P800
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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