Sierpinski:

2 78557 cover: {3, 5, 7, 13, 19, 37, 73} period=36
3 11047 cover: {2, 5, 7, 13, 73} period=12
4 419 cover: {3, 5, 7, 13} period=6
5 7 cover: {2, 3} period=2
6 174308 cover: {7, 13, 31, 37, 97} period=12
7 209 cover: {2, 3, 5, 13, 43} period=12
8 47 cover: {3, 5, 13} period=4
9 31 cover: {2, 5} period=2
10 989 cover: {3, 7, 11, 13} period=6
11 5 cover: {2, 3} period=2
12 521 cover: {5, 13, 29} period=4
13 15 cover: {2, 7} period=2
14 4 cover: {3, 5} period=2
15 ?
16 38 cover: {3, 7, 13} period=3
17 31 cover: {2, 3} period=2
18 398 cover: {5, 13, 19} period=4
19 9 cover: {2, 5} period=2
20 8 cover: {3, 7} period=2
21 23 cover: {2, 11} period=2
22 2253 cover: {5, 23, 97} period=4
23 5 cover: {2, 3} period=2
24 ?

Riesel: 

2 509203 cover: {3, 5, 7, 13, 17, 241} period=24
3 12119 cover: {2, 5, 7, 13, 73} period=12
4 361 cover: {3, 5, 7, 13} period=6
5 13 cover: {2, 3} period=2
6 84686 cover: {7, 13, 31, 37, 97} period=12
7 457 cover: {2, 3, 5, 13, 19} period=12
8 14 cover: {3, 5, 13} period=4
9 41 cover: {2, 5} period=2
10 334 {3, 7, 13, 37} period=8
11 5 cover: {2, 3} period=2
12 376 cover: {5, 13, 29}, period=4
13 29 cover: {2, 7} period=2
14 4 cover: {3, 5} period=2
15 ?
16 100 cover: {3, 7, 13} period=3
17 49 cover: {2, 3} period=2
18 246 cover: {5, 13, 19} period=4
19 9 cover: {2, 5} period=2
20 8 cover: {3, 7} period=2
21 45 cover: {2, 11} period=2
22 2738 cover: {5, 23, 97} period=4
23 5 cover: {2, 3} period=2
24 ?