Definition:Sophie Germain Prime

Definition
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 August 2013) are as follows: