A118665 Least prime p such that n*(p#^3)-1 is prime or 0 if n is a cube so no prime possible.

2, 3, 2, 2, 5, 2, 3, 0, 2, 2, 59, 2, 2, 3, 11, 2, 3, 19, 2, 401, 2, 3, 3, 2, 2, 7, 0, 2, 3, 2, 13, 3, 2, 2, 3, 7, 7, 11, 2, 5, 5, 17, 7, 5, 2, 2, 2, 3, 2, 31, 3, 13, 257, 3, 2, 2, 5, 41, 2, 3, 2, 2, 31, 2, 0