Sophie Germain (1776-1831) studied at the École Polytechnique in Paris in a day when female students were not admitted. A Sophie Germain prime is a prime p for which 2p+ 1 is also prime. Note that the prime 11 is a Sophie Germain prime because 2.11 + 1 = 23 is also a prime; but the prime 13 is not a Sophie Germain prime because 2 13+1=27 is not a prime. For the given prime p, find 2p+1 and determine whether p is a Sophie Germain prime. p=29 For p = 29, the value of 2p + 1 is This number a prime, so p = 29 is not is a Sophie Germain prime.

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