I'm going to expose my ignorance here. Because the numbers are of the form
k*2^n+1,
and k is prime, does this not increase the chance that a number has a small factor like 3 or 5? I mean, with other k's there's an increased chance, an observable phenomenon, that one or more small primes are represented in the kvalue. In my opinion, the fact that it's always a prime k decreases the chance that a random nvalue will yield a prime.
Am I wrong?
