20061016, 16:22  #1 
2×3^{2}×19^{2} Posts 
odd divisors of Mersennelike, question
Could anyone help me with the following problem?
I have a conjecture that p is not a divisor for 2^p1, for any odd integer p. It is known that if p is prime, then any divisor should be of the form 2kp+1 (Mersenne + Fermat), but I want to generalize and prove that p does not divide 2^p1 for any odd p. I found out recently about Mersenne primes, trying to solve this problem. It mostly resembles the type of answer I am looking for. I also thought that this forum is the most appropriate one. Any comments and/or suggestions would be appreciated. Thanks. Stefan 
20061016, 16:31  #2  
Nov 2003
2^{2}×5×373 Posts 
Quote:
What do you know about their divisors? 

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