Quote:
Originally Posted by jasong
I've heard(possibly incorrectly) that it is conjectured that if one form(k*2^n1) is found prime, than the other form(n*2^k1) also has a prime, and viceversa.

Can you clarify this? when you say "the other form(n*2^k1) also has a prime", do you mean n*2^k1 _is_ prime or n*2^<some k> 1 is prime?
At any rate, I highly doubt it if the conjucture is true! All you have to do is find a prime of the form x*2^5092031 for some x. By the conjucture, you will expect to have a prime 509203*2^x1. Unfortunately, since 509203 is a Riesel number, there won't be any such primes.
Am I getting close?