prime signature of k | A173675(k)
[]                   | 1
[1]                  | 1
[2]                  | 1
[1, 1]               | 4
[3]                  | 1
[2, 1]               | 8
[4]                  | 1
[3, 1]               | 14
[1, 1, 1]            | 72
[5]                  | 1
[2, 2]               | 20
[4, 1]               | 22
[2, 1, 1]            | 584
[6]                  | 1
[3, 2]               | 62