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Fermat's little theorem

mathematical theorem that, for any prime 𝑝, the 𝑝th power of any integer 𝑛 is congruent to 𝑛 modulo 𝑝
Intangible theorem Q188295
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Fermat's little theorem

Summary

Fermat's little theorem is a theorem[1]. It ranks in the top 7% of theorem entities by monthly Wikipedia readership (236 views/month).[2]

Key Facts

  • Fermat's little theorem's image is recorded as Fermatp.PNG[3].
  • Fermat's little theorem's instance of is recorded as theorem[4].
  • Pierre de Fermat is named after Fermat's little theorem[5].
  • Fermat's little theorem's part of is recorded as list of theorems[6].
  • Fermat's little theorem's Commons category is recorded as Fermat's little theorem[7].
  • +1640-10-18T00:00:00Z marks the founding of Fermat's little theorem[8].
  • Fermat's little theorem's Freebase ID is recorded as /m/0f06m[9].
  • Fermat's little theorem's NL CR AUT ID is recorded as ph158529[10].
  • Fermat's little theorem's Encyclopædia Britannica Online ID is recorded as topic/Fermats-theorem[11].
  • Fermat's little theorem's defining formula is recorded as a^p \equiv a \pmod{p}[12].
  • Fermat's little theorem's studied by is recorded as modular arithmetic[13].
  • Fermat's little theorem's studied by is recorded as number theory[14].
  • Fermat's little theorem's MathWorld ID is recorded as FermatsLittleTheorem[15].
  • Fermat's little theorem's nLab ID is recorded as Fermat's little theorem[16].
  • Fermat's little theorem's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • Fermat's little theorem's Microsoft Academic ID is recorded as 54014305[18].
  • Fermat's little theorem's Brilliant Wiki ID is recorded as fermats-little-theorem[19].
  • Fermat's little theorem's ProofWiki ID is recorded as Fermat's_Little_Theorem[20].
  • Fermat's little theorem's NicoNicoPedia ID is recorded as フェルマーの小定理[21].
  • Fermat's little theorem's in defining formula is recorded as p[22].
  • Fermat's little theorem's in defining formula is recorded as \equiv[23].
  • Fermat's little theorem's in defining formula is recorded as a[24].
  • Fermat's little theorem's Namuwiki ID is recorded as 페르마의 소정리[25].
  • Fermat's little theorem's Treccani's Enciclopedia della Matematica ID is recorded as piccolo-teorema-di-fermat[26].
  • Fermat's little theorem's OpenAlex ID is recorded as C54014305[27].

Why It Matters

Fermat's little theorem ranks in the top 7% of theorem entities by monthly Wikipedia readership (236 views/month).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[28] It is known by 23 alternative names across languages and contexts.[29]

Related Entities

Pierre de Fermat

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] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Freebase Data Dumps. wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . 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.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . wikidata.org.
  24. [26] ↑ . wikidata.org.
  25. [27] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] ↑ . Wikidata sitelinks. wikidata.org.
  3. [29] ↑ . 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). Fermat's little theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/fermat-s-little-theorem
MLA “Fermat's little theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/fermat-s-little-theorem.
BibTeX @misc{4ortxyz_fermat-s-little-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Fermat's little theorem}}, year = {2026}, url = {https://4ort.xyz/entity/fermat-s-little-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Fermat's little theorem — https://4ort.xyz/entity/fermat-s-little-theorem (retrieved 2026-05-03)

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