Find all prime numbers $p$ such that $p^{2}+2007 p-1$ is prime as well.

Hint. Except for 3, prime numbers are not divisible by 3 . Hence if $p$ is not equal to 3 then either $p=3 k+1$ or $p=3 k-1$ for some integer $k$. If you wish you may use lists of prime numbers from the internet (e.g. www.imomath.com/primes