Ewmayer,

This forum clearly and reasonably states general Mersenne primes, if anyone was listening to the project leader, and the other threads:

http://mersenneforum.org/showthread.php?t=2222
http://mersenneforum.org/showthread.php?t=2218
http://mersenneforum.org/showthread.php?t=3602
http://mersenneforum.org/showthread.php?t=3596

Is it really my fault, that you ignore to understand this correctly?