## Prime generating integers

### Problem 357

Published on Saturday, 5th November 2011, 04:00 pm; Solved by 3542; Difficulty rating: 10%
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.