Home » Keyword index

Mersenne number


Number Theory » Analytic N.T.

Are there infinite number of Mersenne Primes? ★★★★

Author(s):

Conjecture   A Mersenne prime is a Mersenne number \[ M_n = 2^p - 1 \] that is prime.

Are there infinite number of Mersenne Primes?

Keywords: Mersenne number; Mersenne prime

Posted by kurtulmehtap
updated February 4th, 2015
add new comment
Number Theory » Analytic N.T.

Are all Mersenne Numbers with prime exponent square-free? ★★★

Author(s):

Conjecture   Are all Mersenne Numbers with prime exponent $ {2^p-1} $ Square free?

Keywords: Mersenne number

Posted by kurtulmehtap
updated February 4th, 2015
add new comment
Syndicate content