Quote:
Originally Posted by jasong
I apologize, that was a typo. (n*2^k1) and (k*2^n1)

Aah! In that case, what I said earlier applies. The conjucture can be "trivially" shown to be false. (Of course, to find a prime x*2^5092031 is not trivial, but it is relatively straightforward).
Is there some conditions for this conjecture, like we should consider only the Riesel k's?