A082048 a(n) = least number greater than n having greater smallest prime factor than that of n.

2, 3, 5, 5, 7, 7, 11, 9, 11, 11, 13, 13, 17, 15, 17, 17, 19, 19, 23, 21, 23, 23, 29, 25, 29, 27, 29, 29, 31, 31, 37, 33, 35, 35, 37, 37, 41, 39, 41, 41, 43, 43, 47, 45, 47, 47, 53, 49, 53, 51, 53, 53, 59, 55, 59, 57, 59, 59, 61, 61, 67, 63, 65, 65, 67, 67, 71, 69, 71, 71, 73, 73