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Brocard's problem

the Diophantine problem of finding an integer, whose factorial plus one is a perfect square
Thing diophantine_equation Q1052622
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Brocard's problem

Summary

Brocard's problem is a Diophantine equation[1]. It draws 76 Wikipedia views per month (diophantine_equation category, ranking #2 of 4).[2]

Key Facts

  • Brocard's problem's instance of is recorded as Diophantine equation[3].
  • Brocard's problem's Freebase ID is recorded as /m/02r6xwh[4].
  • Brocard's problem's different from is recorded as Brocard's conjecture[5].
  • Brocard's problem's defining formula is recorded as n!+1=m^2[6].
  • Brocard's problem's MathWorld ID is recorded as BrocardsProblem[7].
  • Brocard's problem's MathWorld ID is recorded as BrownNumbers[8].
  • Brocard's problem's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Brocard's problem's Microsoft Academic ID is recorded as 2777059811[10].

Why It Matters

Brocard's problem draws 76 Wikipedia views per month (diophantine_equation category, ranking #2 of 4).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[11] It is known by 4 alternative names across languages and contexts.[12]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . Freebase Data Dumps. 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.
  3. [12] ↑ . 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). Brocard's problem. Retrieved May 3, 2026, from https://4ort.xyz/entity/brocard-s-problem
MLA “Brocard's problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/brocard-s-problem.
BibTeX @misc{4ortxyz_brocard-s-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Brocard's problem}}, year = {2026}, url = {https://4ort.xyz/entity/brocard-s-problem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Brocard's problem — https://4ort.xyz/entity/brocard-s-problem (retrieved 2026-05-03)

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