Mersenne Primes

Some articles on mersenne primes, prime, mersenne prime, primes:

Power Of Two - Mersenne Primes
... A prime number that is one less than a power of two is called a Mersenne prime ... For example, the prime number 31 is a Mersenne prime because it is 1 less than 32 (25) ... Similarly, a prime number (like 257) that is one more than a power of two is called a Fermat prime the exponent will itself be a power of two ...
List Of Prime Numbers - Lists of Primes By Type - Double Mersenne Primes
... A subset of Mersenne primes of the form for prime p. 7, 127, 2147483647, 170141183460469231731687303715884105727 (primes in  A077586) As of 2011, these are the only known double Mersenne primes, and number ...
List Of Prime Numbers - Lists of Primes By Type - Mersenne Primes
... As of 2011, there are 47 known Mersenne primes (The 47th discovered is actually the 46th in size) ...
Safe Prime - Further Properties
... is no special primality test for safe primes the way there is for Fermat primes and Mersenne primes ... With the exception of 5, there are no Fermat primes that are also safe primes ... Since Fermat primes are of the form F = 2n + 1, it follows that (F − 1)/2 is a power of two ...