Josephus problem

mathematical counting-out question
Thing mathematical_problem Q1064357
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Josephus problem

Summary

Josephus problem is a mathematical problem[1]. It ranks in the top 7% of mathematical_problem entities by monthly Wikipedia readership (527 views/month).[2]

Key Facts

  • Josephus problem's instance of is recorded as mathematical problem[3].
  • Josephus is named after Josephus problem[4].
  • Josephus problem's Freebase ID is recorded as /m/05yqjv[5].
  • Josephus problem's Stack Exchange tag is recorded as https://stackoverflow.com/tags/josephus[6].
  • Josephus problem's defining formula is recorded as g(n,k)=\begin{cases}(g(n-1,k)+k)\bmod n&n>1\0&n=1\end{cases}[7].
  • Josephus problem's MathWorld ID is recorded as JosephusProblem[8].
  • Josephus problem's Rosetta Code page ID is recorded as Josephus_problem[9].
  • Josephus problem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Josephus problem's Microsoft Academic ID is recorded as 14039904[11].
  • Josephus problem's Brilliant Wiki ID is recorded as josephus-problem[12].
  • Josephus problem's ProofWiki ID is recorded as Definition:Josephus_Problem[13].

Why It Matters

Josephus problem ranks in the top 7% of mathematical_problem entities by monthly Wikipedia readership (527 views/month).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[14] It is known by 14 alternative names across languages and contexts.[15]

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] . Freebase Data Dumps. 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.
  3. [15] . 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). Josephus problem. Retrieved May 3, 2026, from https://4ort.xyz/entity/josephus-problem
MLA “Josephus problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/josephus-problem.
BibTeX @misc{4ortxyz_josephus-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Josephus problem}}, year = {2026}, url = {https://4ort.xyz/entity/josephus-problem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Josephus problem — https://4ort.xyz/entity/josephus-problem (retrieved 2026-05-03)

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