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Catalan's conjecture

theorem about consecutive powers
Intangible theorem Q174955

Facts

6 properties
Instance of
theorem (2002–present), conjecture (1844–2002)
Part of
list of theorems[3]
Discoverer or inventor
Eugène Charles Catalan[2]
Maintained by WikiProject
WikiProject Mathematics[6]
Proved by
Preda Mihăilescu[4]
Studied by
number theory[5]
🏷️ Also known as
en Catalan's conjecture en Mihăilescu's theorem en Mihailescu's theorem ar حدسية كاتالان cs Catalanova věta de Catalansche Vermutung el Εικασία του Καταλάν es conjetura de Catalan fa حدس کاتالان fi Catalanin otaksuma fr conjecture de Catalan fr théorème de Catalan fr théorème de Mihailescu fr théorème de Mihăilescu he השערת קטלן hu Catalan-sejtés id Konjektur Catalan it congettura di Catalan it teorema di Mihăilescu ja カタラン予想
🔖 Identifiers · 8
GND ID
4369060-9
Bibliothèque nationale de France ID
144299323
Encyclopædia Universalis ID
equation-de-catalan
Freebase ID
/m/0gvvl
IdRef ID
077062728
MathWorld ID
CatalansConjecture
Microsoft Academic ID (discontinued)
2779698405
Treccani's Enciclopedia della Matematica ID
congettura-di-catalan

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🔗 Connections
Instance of 2
theorem, conjecture
Created notable works 1
Eugène Charles Catalan
Discoverer or inventor 1
Eugène Charles Catalan
Maintained by WikiProject 1
WikiProject Mathematics
Part of 1
list of theorems
Proved by 1
Preda Mihăilescu
Studied by 1
number theory
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Summary

Catalan's conjecture is a theorem[1].

Related Entities

Eugène Charles Catalan

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Catalan's conjecture. Retrieved November 4, 2026, from https://4ort.xyz/entity/catalan-s-conjecture
MLA “Catalan's conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/catalan-s-conjecture.
BibTeX @misc{4ortxyz_catalan-s-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Catalan's conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/catalan-s-conjecture}, note = {Accessed: 2026-11-04}}
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