A110049 Least j such that (p(n)#)*3^j + 1 is prime with p(n)#= n-th primorial.

0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 0, 5, 8, 4, 10, 1, 4, 2, 5, 1, 11, 7, 1, 2, 6, 6, 11, 2, 9, 10, 18, 9, 32, 3, 8, 18, 15, 3, 18, 1, 18, 4, 2, 24, 14, 32, 149, 12, 1, 67, 49, 56, 1, 12, 10, 15, 3, 7, 17, 5