20100106, 21:58  #1 
Jan 2010
germany
2×13 Posts 
conjecture about mersenne numbers
Hello,
My conjecture is : Let be an Mersennenumber, and a is an element from (1) > (2) This means, that if (1) is true, than is (2) also true. It is easy to show that ? My idea to do this with is prime, was the following: When is prime, when the Elements with the form are the only ones, that have order of and therefore:  But the only solution to this is 1: > > So can not be the order of a, because a is 1. I have searched with google many sites, but could not find the answer to this "problem". I hope that anybody can help me with the conjecture. kind regards, sascha 
20100107, 07:20  #2 
May 2007
Kansas; USA
3^{3}·17·23 Posts 
This should be posted in the GIMPS forum.

20100107, 08:06  #3 
Jan 2010
germany
2×13 Posts 
ok. thanks.
I will post this in the gimps>math Forum 
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