Sequence of Palindromic Sophie Germain Primes

Theorem
The number $N = 191 \, 918 \, 080 \, 818 \, 091 \, 909 \, 090 \, 909 \, 190 \, 818 \, 080 \, 819 \, 191$ has the property that:


 * $N$ is a palindromic Sophie Germain prime


 * $2 N + 1$ is also a palindromic Sophie Germain prime


 * $2 \left({2 N + 1}\right) + 1$ is also a palindromic prime, but not a Sophie Germain prime.

Proof
By direct calculation: