A109833 Smallest prime starting an arithmetic progression meeting also prime(n) and having a maximal number of terms less than prime(n).

2, 3, 3, 3, 7, 5, 3, 5, 5, 3, 19, 5, 7, 11, 5, 5, 13, 7, 3, 13, 61, 47, 5, 7, 11, 13, 53, 13, 23, 7, 11, 5, 31, 5, 79, 7, 127, 5, 5, 23, 19, 11, 67, 5, 19, 3, 7, 107, 31, 53, 41, 151, 11, 107, 227, 251, 151, 37, 11, 43, 53, 73, 11, 7, 47, 61, 61, 23, 241, 53, 71, 277, 13