A023571 Least odd prime divisor of p(n)-3, or 1 if p(n)-3 is a power of 2.

1, 1, 1, 1, 1, 5, 7, 1, 5, 13, 7, 17, 19, 5, 11, 5, 7, 29, 1, 17, 5, 19, 5, 43, 47, 7, 5, 13, 53, 5, 31, 1, 67, 17, 73, 37, 7, 5, 41, 5, 11, 89, 47, 5, 97, 7, 13, 5, 7, 113, 5, 59, 7, 31, 127, 5, 7, 67, 137, 139, 5, 5, 19, 7, 5, 157, 41, 167, 43, 173, 5, 89, 7, 5, 47, 5