ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Operation
N-operation
Binary operation
Enclosed binary operation
Groupoid
Ringoid
Semiring
Ring
Factor
Divisor
Two-sided divisor
Prime element
Prime integer
Definition D1581
Mersenne prime integer
Formulation 0
A D571: Prime integer $p$ is a Mersenne prime integer if and only if \begin{equation} \exists \, n \in \mathbb{N} + 2 : p = 2^n - 1 \end{equation}