A067792 a(n) is the next prime after sigma(n).

2, 3, 5, 7, 7, 13, 11, 17, 13, 19, 13, 29, 17, 29, 29, 31, 19, 41, 23, 43, 37, 37, 29, 61, 31, 43, 41, 59, 31, 73, 37, 67, 53, 59, 53, 97, 41, 61, 59, 97, 43, 97, 47, 89, 79, 73, 53, 127, 59, 97, 73, 101, 59, 127, 73, 127, 83, 97, 61, 173, 67, 97, 107, 127, 89, 149, 71, 127