square-free integer

integer that cannot be divided by a square number
Thing type_of_integer Q50706
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square-free integer

Summary

square-free integer is a type of integer[1]. It draws 113 Wikipedia views per month (type_of_integer category, ranking #12 of 70).[2]

Key Facts

  • square-free integer's instance of is recorded as type of integer[3].
  • square-free integer's subclass of is recorded as positive integer[4].
  • square-free integer's subclass of is recorded as square-free element[5].
  • square-free integer's Freebase ID is recorded as /m/079ng[6].
  • square-free integer's OEIS ID is recorded as A005117[7].
  • square-free integer's different from is recorded as square-free element[8].
  • square-free integer's defining formula is recorded as r=p_1p_2\cdots p_n[9].
  • square-free integer's MathWorld ID is recorded as Squarefree[10].
  • square-free integer's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • square-free integer's Microsoft Academic ID is recorded as 188139237[12].
  • square-free integer's ProofWiki ID is recorded as Definition:Square-Free_Integer[13].
  • square-free integer's in defining formula is recorded as p_i[14].
  • square-free integer's in defining formula is recorded as r[15].
  • square-free integer's PlanetMath ID is recorded as SquarefreeNumber[16].
  • square-free integer's OpenAlex ID is recorded as C188139237[17].

Why It Matters

square-free integer draws 113 Wikipedia views per month (type_of_integer category, ranking #12 of 70).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[18] It is known by 9 alternative names across languages and contexts.[19]

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] . 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] . 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. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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). square-free integer. Retrieved May 3, 2026, from https://4ort.xyz/entity/square-free-integer
MLA “square-free integer.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/square-free-integer.
BibTeX @misc{4ortxyz_square-free-integer_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{square-free integer}}, year = {2026}, url = {https://4ort.xyz/entity/square-free-integer}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): square-free integer — https://4ort.xyz/entity/square-free-integer (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 14d ago · KrBot bot · 2026-05-06 view diff on Wikidata ↗
    Subclass of
    Subclass of positive integer, square-free element
    Maintained by wikiproject WikiProject Mathematics
    Instance of type of integer
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaimvalue:1| */ [[Property:P279]]: [[Q16317911]], разрешение перенаправления / resolving redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q28920044_Q163"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.