A179210 a(n) is the smallest prime q such that (r-q)/(q-p) = n, where p<q<r are consecutive primes (or 0 if no such prime exists).

5, 3, 31, 8123, 139, 199, 45439, 1933, 523, 156157, 1951, 1669, 480209, 2971, 7759, 2181737, 12163, 28351, 6012899, 20809, 16141, 3933599, 163063, 86629, 13626257, 25471, 40639, 60487759, 79699, 149629, 217795247, 625699, 552403