Artin's conjecture on primitive roots

in numbers theory, a given integer a which is not a perfect square and not −1 is a primitive root modulo infinitely many primes p
Place conjecture Q2319635
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Artin's conjecture on primitive roots

Summary

Artin's conjecture on primitive roots is a conjecture[1]. It draws 50 Wikipedia views per month (conjecture category, ranking #22 of 128).[2]

Key Facts

  • Artin's conjecture on primitive roots is credited with the discovery of Emil Artin[3].
  • Artin's conjecture on primitive roots's instance of is recorded as conjecture[4].
  • Emil Artin is named after Artin's conjecture on primitive roots[5].
  • Artin's conjecture on primitive roots's Freebase ID is recorded as /m/06l4gn[6].
  • Artin's conjecture on primitive roots's studied by is recorded as number theory[7].
  • Artin's conjecture on primitive roots's MathWorld ID is recorded as ArtinsConstant[8].
  • Artin's conjecture on primitive roots's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Artin's conjecture on primitive roots's Microsoft Academic ID is recorded as 10841079[10].
  • Artin's conjecture on primitive roots's Namuwiki ID is recorded as 아르틴 상수[11].
  • Artin's conjecture on primitive roots's logical consequence of is recorded as list of values as qualifiers[12].

Body

Designation and Status

Artin's conjecture on primitive roots's instance of is recorded as conjecture[4].

History and Context

Emil Artin is named after Artin's conjecture on primitive roots[5].

Why It Matters

Artin's conjecture on primitive roots draws 50 Wikipedia views per month (conjecture category, ranking #22 of 128).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[13] It is known by 6 alternative names across languages and contexts.[14]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). Artin's conjecture on primitive roots. Retrieved May 3, 2026, from https://4ort.xyz/entity/artin-s-conjecture-on-primitive-roots
MLA “Artin's conjecture on primitive roots.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/artin-s-conjecture-on-primitive-roots.
BibTeX @misc{4ortxyz_artin-s-conjecture-on-primitive-roots_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Artin's conjecture on primitive roots}}, year = {2026}, url = {https://4ort.xyz/entity/artin-s-conjecture-on-primitive-roots}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Artin's conjecture on primitive roots — https://4ort.xyz/entity/artin-s-conjecture-on-primitive-roots (retrieved 2026-05-03)

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