Wilson's theorem

necessary and sufficient condition for a number to be prime
Intangible theorem Q276082
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Wilson's theorem

Summary

Wilson's theorem is a theorem[1]. It ranks in the top 7% of theorem entities by monthly Wikipedia readership (339 views/month).[2]

Key Facts

  • Wilson's theorem's instance of is recorded as theorem[3].
  • John Wilson is named after Wilson's theorem[4].
  • Wilson's theorem's part of is recorded as list of theorems[5].
  • Wilson's theorem's Freebase ID is recorded as /m/01h428[6].
  • Wilson's theorem's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[7].
  • Wilson's theorem's Encyclopædia Britannica Online ID is recorded as topic/Wilsons-theorem[8].
  • Wilson's theorem's defining formula is recorded as (p-1)!+1 \equiv 0 \pmod p[9].
  • Wilson's theorem's studied by is recorded as modular arithmetic[10].
  • Wilson's theorem's studied by is recorded as number theory[11].
  • Wilson's theorem's MathWorld ID is recorded as WilsonsTheorem[12].
  • Wilson's theorem's Quora topic ID is recorded as Wilsons-Theorem-1[13].
  • Wilson's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Wilson's theorem's Microsoft Academic ID is recorded as 176119844[15].
  • Wilson's theorem's in defining formula is recorded as p[16].
  • Wilson's theorem's in defining formula is recorded as \equiv[17].
  • Wilson's theorem's in defining formula is recorded as ![18].
  • Wilson's theorem's Encyclopedia of Mathematics article ID is recorded as Wilson_theorem[19].
  • Wilson's theorem's Lex ID is recorded as Wilsons_sætning[20].
  • Wilson's theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-di-wilson[21].
  • Wilson's theorem's Great Russian Encyclopedia portal ID is recorded as teorema-vil-sona-4a7958[22].
  • Wilson's theorem's Metamath statement ID is recorded as wilth[23].

Why It Matters

Wilson's theorem ranks in the top 7% of theorem entities by monthly Wikipedia readership (339 views/month).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[24] It is known by 9 alternative names across languages and contexts.[25]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Quora. wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . Wikidata sitelinks. wikidata.org.
  3. [25] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Wilson's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/wilson-s-theorem
MLA “Wilson's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/wilson-s-theorem.
BibTeX @misc{4ortxyz_wilson-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Wilson's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/wilson-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Wilson's theorem — https://4ort.xyz/entity/wilson-s-theorem (retrieved 2026-05-03)

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