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Question: prime numbers of the form 2p 1 p prime...

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  1. Prime numbers of the form 2p − 1, p prime, are called Mersenne primes. Show that ( Let n > m be positive integers, and suppose that n=qm+r,0≤r<m, as in the Division Algorithm). implies that if n is composite, then 2n − 1 is composite.

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