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Cantor number

integer sequence
Class type of: Mersenne number Q12786684

Facts

7 properties
Instance of
type of integer
Subclass of
Mersenne number[3]
Defining formula
c_{n+1} \equiv 2^{c_{n}}-1 , \quad c_{0} \equiv 2 ; \quad n \ge 0[5]
Different from
double Mersenne number[4]
Imported from
wholeness_audit_2026-05-02
Maintained by WikiProject
WikiProject Mathematics[6]
Named after
Georg Cantor[2]
🏷️ Also known as
en Cantor number es número de Cantor fr nombre de Cantor pt números de Cantor ru числа Кантора ru числа Каталана - Мерсенна ru число Кантора ru число Каталана - Мерсенна vi số Cantor
🔖 Identifiers · 2
MathWorld ID
Catalan-MersenneNumber
OEIS ID
A007013

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Summary

Cantor number is a type of integer[1].

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.

📑 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). Cantor number. Retrieved May 3, 2026, from https://4ort.xyz/entity/cantor-number
MLA “Cantor number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cantor-number.
BibTeX @misc{4ortxyz_cantor-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cantor number}}, year = {2026}, url = {https://4ort.xyz/entity/cantor-number}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cantor number — https://4ort.xyz/entity/cantor-number (retrieved 2026-05-03)

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