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The prime factors of 2p - 1 are all of the form 2kp + 1, where k is a positive integer, and p is an odd prime. Fermat used this fact to show that 223 divides the Mersenne number M(37).


  Submitted: 2006-08-26 12:05:24;   Last Modified: 2009-01-22 19:54:08.

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