what is a mersenne prime?

Answer 1

A Mersenne prime is a Mersenne number, i.e., a number of the form

M(n)=2(n)-1
that is prime. In order for M(n) to be prime, n must itself be prime.

The first few Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, ... (Sloane's A000668) corresponding to indices , 3, 5, 7, 13, 17, 19, 31, 61, 89, ... (Sloane's A000043).

Answer 2

In mathematics, a Mersenne number is a number that is one less than a power of two.

Mn = 2^n − 1.
A Mersenne prime is a Mersenne number that is a prime number. It is necessary for n to be prime for 2^n − 1 to be prime, but the converse is not true. Many mathematicians prefer the definition that n has to be a prime number.

for more see: http://en.wikipedia.org/wiki/Mersenne_prime

Answer 3

A Mersenne prime is a Mersenne number that is a prime number. It is necessary for n to be prime for 2^n − 1 to be prime, but the converse is not true. Many mathematicians prefer the definition that n has to be a prime number.

Answer 4

A Mersenne number is a number that is one less than a power of two.

Mn = 2n − 1.

A Mersenne prime is a Mersenne number that is a prime number. It is necessary for n to be prime for 2n − 1 to be prime, but the converse is not true.

Answer 5

2^ 32,582,657-1.



check here
http://www.mersenne.org/