
Prime Generating Integers
Consider the divisors of $30$: $1,2,3,5,6,10,15,30$.
It can be seen that for every divisor $d$ of $30$, $d + 30 / d$ is prime.
Find the sum of all positive integers $n$ not exceeding $100\,000\,000$
such that for every divisor $d$ of $n$, $d + n / d$ is prime.