Number Theory

    

Proof That an Infinite Number of Sophie Germain Primes Exist

Authors: Stephen Marshall

In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 29 is a Sophie Germain prime because it is a prime and 2 × 29 + 1 = 59, and 59 is also a prime number. These numbers are named after French mathematician Marie-Sophie Germain. We shall prove that there are an infinite number of Sophie Germain primes.

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[v1] 2014-08-29 12:10:30

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