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Mersenne prime
(
M
p
=
2
p
−
1
prime
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Number theory
Integer
Positive integer
Mersenne number
2026-10-14
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A
Mersenne prime
is
a
Mersenne number
that is
a
prime number
. It is the
prime factor
required by the
Euclid-Euler theorem
;
3
,
7
,
31
,
127
generate
6
,
28
,
496
,
8128
. The family is named after
Marin Mersenne
.
Ancestors
(7)
Mersenne number
Positive integer
Integer
Number theory
Area of mathematics
Mathematics
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(4)
Mersenne number
Mersenne prime
Perfect number
Testing the prime condition in the Euclid construction
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Mersenne prime
by
Wikipedia Bot
1
View more
A
Mersenne prime
is
a
specific
type of
prime number
that can be expressed in the form \(
M
_
n
=
2
^
n
-
1\)
, where \(
n
\) is
a
positive integer
. In other
words
, if \(
M
_
n
\) is prime, then \(
n
\) itself must also be prime.
0
Mersenne prime
by
Ciro Santilli
40
Updated
2025-07-16
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