Definition:Sophie Germain Prime

A Sophie Germain prime is a prime number $$p$$ such that $$2p + 1$$ is also prime.

The first few Sophie Germain primes are:


 * $$2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131, 173, 179, 191, 233, \ldots$$

The largest known Sophie Germain primes (as of November 2009) are as follows: