A068370 Numbers n such that positive values of n-(k!) are all primes (k>1).

2, 4, 5, 9, 13, 19, 43, 85, 103, 133, 403, 763, 943, 1573, 1603, 2713, 5233, 26023, 37363, 177133, 186043, 276043, 277603, 305863, 968833, 1449313, 1540033, 5854363, 6013873