Mersenne number

number of the form (2^n)−1

Facts

8 properties
Instance of
Lucas sequence, divisibility sequence, type of integer[2][3]
Defining formula
M_{n} = 2^{n}-1[11]
Different from
Mersenne prime, Mersenne number with prime index[8][9]
In defining formula
n[13]
Maintained by WikiProject
WikiProject Mathematics[12]
🏷️ Also known as
en 2^n-1 en 2ⁿ-1 en Mersenne's numbers en Mersenne number en (2^n)-1 cs Mersenneovo číslo cs Mersennovo číslo de Mersenne-Zahl de mersennesche Zahl es número de Mersenne fr nombre de Mersenne hu Mersenne-szám it numero di Mersenne ja メルセンヌ数 nl Mersenne-getal pt números de Mersenne pt série de Mersenne ru числа Мерсенна ru число Мерсенна sv Mersennetal
🔖 Identifiers · 8
Encyclopædia Britannica Online ID
topic/Mersenne-number
Encyclopædia Universalis ID
nombres-de-mersenne
Google Knowledge Graph ID
/g/121l5fbf
MathWorld ID
MersenneNumber
NicoNicoPedia ID
メルセンヌ数
OEIS ID
A000225
Topic's main category
Category:Mersenne numbers

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Examples 12
3, 15, 31, 63, 127, 255, 2,147,483,647, 511 +4 more
Different from 1
Instance of 1
Maintained by WikiProject 1
Named after 1
Subclass of 1
Subtypes 1
← Different from 1
Press Enter · cited answer in seconds

Summary

Mersenne number is a Lucas sequence[1].

📑 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). Mersenne number. Retrieved October 30, 2026, from https://4ort.xyz/entity/mersenne-number
MLA “Mersenne number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 30 Oct. 2026, https://4ort.xyz/entity/mersenne-number.
BibTeX @misc{4ortxyz_mersenne-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Mersenne number}}, year = {2026}, url = {https://4ort.xyz/entity/mersenne-number}, note = {Accessed: 2026-10-30}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Mersenne number — https://4ort.xyz/entity/mersenne-number (retrieved 2026-10-30)

Canonical URL: https://4ort.xyz/entity/mersenne-number · Last refreshed: