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four color theorem

statement in mathematics
Intangible theorem Q184410
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Summary

four color theorem is a theorem[1]. It ranks in the top 4% of theorem entities by monthly Wikipedia readership (7,151 views/month).[2]

Key Facts

  • Instance of: computer-assisted proof[3], proof by exhaustion[4]
  • Part of: list of theorems[5]
  • Commons category: Four-color theorem[6]
  • Proved by: Kenneth Appel[7], Wolfgang Haken[8]
  • Nickname: Guthrie's problem[9]
  • Uses: proof assistant[10]
  • Statement describes: planar graph[11], graph coloring[12]
  • Studied by: graph theory[13]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[14]
  • Maintained by WikiProject: WikiProject Mathematics[15]

Why It Matters

four color theorem has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[16] It is known by 93 alternative names across languages and contexts.[17]

Related Entities

graph theory

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] ↑ . www-groups.dcs.st-and.ac.uk. Retrieved . www-groups.dcs.st-and.ac.uk. Provenance: 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] ↑ . Wikidata sitelinks. wikidata.org.
  3. [17] ↑ . 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). four color theorem. Retrieved October 15, 2026, from https://4ort.xyz/entity/four-color-theorem
MLA “four color theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 15 Oct. 2026, https://4ort.xyz/entity/four-color-theorem.
BibTeX @misc{4ortxyz_four-color-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{four color theorem}}, year = {2026}, url = {https://4ort.xyz/entity/four-color-theorem}, note = {Accessed: 2026-10-15}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): four color theorem — https://4ort.xyz/entity/four-color-theorem (retrieved 2026-10-15)

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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. 13w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Proved by → Kenneth Appel, Wolfgang Haken
    Part of → list of theorems
    Maintained by wikiproject → WikiProject Mathematics
    Uses → proof assistant
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.