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2007-06-17, 00:53   #6
R. Gerbicz

"Robert Gerbicz"
Oct 2005
Hungary

3·11·43 Posts

Quote:
 Originally Posted by hhh Background:There are 14 Cullen primes known, but only with composite exponents, and nobody knows if there is one with a prime exponent. That's why this project exists.
I think the probability that n*2^n+1 is prime for a random n number is O(1/n). This is also true for n=p prime numbers so the number of prime exponents Cullen primes up to exponent=n is sumprime(p=2,n,O(1/p))=O(log(log(n)). If this is true, than there're infinitely many Cullen primes with prime exponents. But the chance to find a slution is extremely small.