Mersenne prime

prime number of the form 2ⁿ−1
Thing type_of_integer Q186875
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Mersenne prime

Summary

Mersenne prime is a type of integer[1]. It ranks in the top 6% of type_of_integer entities by monthly Wikipedia readership (1,061 views/month).[2]

Key Facts

  • Mersenne prime's instance of is recorded as type of integer[3].
  • Mersenne prime's instance of is recorded as mathematical concept[4].
  • Marin Mersenne is named after Mersenne prime[5].
  • Mersenne prime's subclass of is recorded as prime number[6].
  • Mersenne prime's subclass of is recorded as Mersenne number with prime index[7].
  • Mersenne prime's subclass of is recorded as repunit prime[8].
  • Mersenne prime's Commons category is recorded as Mersenne prime numbers[9].
  • Mersenne prime's Freebase ID is recorded as /m/04s4c[10].
  • Mersenne prime's OEIS ID is recorded as A000668[11].
  • Mersenne prime's topic's main category is recorded as Category:Mersenne primes[12].
  • Mersenne prime's Encyclopædia Britannica Online ID is recorded as topic/Mersenne-prime[13].
  • Mersenne prime's BBC Things ID is recorded as f1e9fdc4-e5af-4615-ab56-8f19b7d83a59[14].
  • Mersenne prime's different from is recorded as Mersenne number[15].
  • Mersenne prime's different from is recorded as Mersenne number with prime index[16].
  • Mersenne prime's has list is recorded as list of Mersenne numbers[17].
  • Mersenne prime's defining formula is recorded as M_{i} = 2^{n}-1: \phi(M_{i})=M_i-1[18].
  • Mersenne prime's MathWorld ID is recorded as MersennePrime[19].
  • Mersenne prime's Quora topic ID is recorded as Mersenne-Prime-1[20].
  • Mersenne prime's derivative work is recorded as Mersenne twister[21].
  • Mersenne prime's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • Mersenne prime's Microsoft Academic ID is recorded as 29641680[23].
  • Mersenne prime's related image is recorded as Digits in largest prime found as a function of time.svg[24].
  • Mersenne prime's Online PWN Encyclopedia ID is recorded as 3939847[25].
  • Mersenne prime's Namuwiki ID is recorded as 메르센 소수[26].
  • Mersenne prime's OpenAlex ID is recorded as C29641680[27].

Body

Works and Contributions

Things named for Mersenne prime include Mersenne twister[28], a pseudorandom number generator[29].

Why It Matters

Mersenne prime ranks in the top 6% of type_of_integer entities by monthly Wikipedia readership (1,061 views/month).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[30] It is known by 43 alternative names across languages and contexts.[31]

Entities named for it include Mersenne twister[28], a pseudorandom number generator[29].

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] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . BBC Things. wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . Quora. 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.

Inverse relationships (entities pointing at this one)

  1. [28] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [29] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [30] . Wikidata sitelinks. wikidata.org.
  3. [31] . 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). Mersenne prime. Retrieved May 3, 2026, from https://4ort.xyz/entity/mersenne-prime
MLA “Mersenne prime.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/mersenne-prime.
BibTeX @misc{4ortxyz_mersenne-prime_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Mersenne prime}}, year = {2026}, url = {https://4ort.xyz/entity/mersenne-prime}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Mersenne prime — https://4ort.xyz/entity/mersenne-prime (retrieved 2026-05-03)

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