A097517 Numbers n such that the difference between the smallest prime > 10^n and 10^n is prime. Also n such that A033873(n) is prime.

7, 3, 3, 19, 7, 7, 19, 3, 37, 31, 37, 61, 3, 3, 7, 13, 67, 103, 331, 61, 193, 67, 43, 3, 109, 31, 193, 151, 31, 3, 19, 7, 79, 13, 103, 151, 373, 181, 31, 79, 97, 151, 127, 3, 3, 79, 3, 19, 457, 7, 139, 271, 79, 709, 79, 3, 283, 7, 283, 13, 13, 73, 67, 13, 151, 37, 193, 337