text: the infinitude of the mersenne primes has been proven! comments or questions? stop the presses !!!!!!!!!!! bah, i'm not interested in theories... but maybe you've also found a way to construct them quickly? i hope these energizer bunnies at mersenne.org can stop now and relax a little :)  upd: pardon my english, it's not my first language. by "theories" i meant "theoretical issues" including theorems of low practical value, e.g. flt.  ianam, but i think a constructive proof would be really big... however, on second thought, even a constructive proof would hardly be useful/disturbing for cryptography. better focus your efforts on fast factorization ;)