Mersenne number

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:category number theory
integer sequences
gptkbp:definedIn number of the form 2^n - 1
gptkbp:first_terms 1
15
3
31
7
https://www.w3.org/2000/01/rdf-schema#label Mersenne number
gptkbp:namedAfter gptkb:Marin_Mersenne
gptkbp:notation M_n = 2^n - 1
gptkbp:OEIS gptkb:A000225
gptkbp:property if M_n is prime, n must be prime
if n is composite, M_n is composite
gptkbp:relatedTo Mersenne prime
gptkbp:seeAlso gptkb:Fermat_number
gptkbp:sequenceA gptkb:A000225
gptkbp:usedIn cryptography
random number generation
perfect number theory
gptkbp:bfsParent gptkb:Power_of_Two
gptkbp:bfsLayer 7