Kempner function

function that maps an integer 𝑛 to the smallest integer whose factorial is a multiple of 𝑛
Thing arithmetic_function Q1414564
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Kempner function

Summary

Kempner function is an arithmetic function[1]. It draws 11 Wikipedia views per month (arithmetic_function category, ranking #4 of 4).[2]

Key Facts

  • Kempner function is credited with the discovery of Γ‰douard Lucas[3].
  • Kempner function's image is recorded as SmarandacheFunction.PNG[4].
  • Kempner function's instance of is recorded as arithmetic function[5].
  • Aubrey J. Kempner is named after Kempner function[6].
  • Kempner function's time of discovery or invention is recorded as +1883-00-00T00:00:00Z[7].
  • Kempner function's Freebase ID is recorded as /m/02r1lcy[8].
  • Kempner function's OEIS ID is recorded as A002034[9].
  • Kempner function's defining formula is recorded as n\mapsto\min\left{k\in\mathbb Z^+\colon n|k!\right}[10].
  • Kempner function's MathWorld ID is recorded as SmarandacheFunction[11].
  • Kempner function's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Kempner function's Microsoft Academic ID is recorded as 2775873588[13].

Body

Works and Contributions

Kempner function is credited with the discovery of Γ‰douard Lucas[3].

Why It Matters

Kempner function draws 11 Wikipedia views per month (arithmetic_function category, ranking #4 of 4).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[14]

References

Programmatic citations β€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [5] ↑ . wikidata.org.
  3. [3] ↑ . 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.

πŸ“‘ 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). Kempner function. Retrieved May 3, 2026, from https://4ort.xyz/entity/kempner-function
MLA “Kempner function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/kempner-function.
BibTeX @misc{4ortxyz_kempner-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kempner function}}, year = {2026}, url = {https://4ort.xyz/entity/kempner-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kempner function — https://4ort.xyz/entity/kempner-function (retrieved 2026-05-03)

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