On Thu, 19 Aug 2004, wouter meeussen wrote:

does (-1+2^Prime[n]) ever divide (Prime[2^n]!) (apart from n=1 and 2 ?)

Also for n = 5 and n = 10 if Maple is to be believed. I was able to rule out other values up to n = 24 using the fact that it cannot happen if 2^p(n) - 1 has a prime divisor greater than p(2^n). --Edwin