Riesel k=2:

(none)

Riesel k=3:

b==(1 mod 2): factor of 2

Riesel k=4:

b==(1 mod 3): factor of 3
b==(4 mod 5): odd n, factor of 5: even n, algebraic factors
b=m^2 proven composite by full algebraic factors

Riesel k=5:

b==(1 mod 2): factor of 2

Riesel k=6:

b==(1 mod 5): factor of 5
b==(34 mod 35): covering set [5, 7]
b=24, 54, 294, 864: even n, factor of 5: odd n, algebraic factors

Riesel k=7:

b==(1 mod 2): factor of 2
b==(1 mod 3): factor of 3

Riesel k=8:

b==(1 mod 7): factor of 7
b==(20 mod 21): covering set [3, 7]
b==(83, 307 mod 455): covering set [5, 7, 13]
b=m^3 proven composite by full algebraic factors

Riesel k=9:

b==(1 mod 2): factor of 2
b==(4 mod 5): odd n, factor of 5: even n, algebraic factors
b=m^2 proven composite by full algebraic factors

Riesel k=10:

b==(1 mod 3): factor of 3
b==(32 mod 33): covering set [3, 11]

Riesel k=11:

b==(1 mod 2): factor of 2
b==(1 mod 5): factor of 5
b==(14 mod 15): covering set [3, 5]
b=44, 99, 539, 704: even n, factor of 5: odd n, algebraic factors

Riesel k=12:

b==(1 mod 11): factor of 11
b==(142 mod 143): covering set [11, 13]
b=307: covering set [5, 11, 29]
b=901: covering set [7, 11, 13, 19]

Sierp k=2:

b==(1 mod 3): factor of 3

Sierp k=3:

b==(1 mod 2): factor of 2

Sierp k=4:

b==(1 mod 5): factor of 5
b==(14 mod 15): covering set [3, 5]
b=m^4 proven composite by full algebraic factors

Sierp k=5:

b==(1 mod 2): factor of 2
b==(1 mod 3): factor of 3

Sierp k=6:

b==(1 mod 7): factor of 7
b==(34 mod 35): covering set [5, 7]

Sierp k=7:

b==(1 mod 2): factor of 2

Sierp k=8:

b==(1 mod 3): factor of 3
b==(20 mod 21): covering set [3, 7]
b==(47, 83 mod 195): covering set [3, 5, 13]
b=467: covering set [3, 5, 7, 19, 37]
b=722: covering set [3, 5, 13, 73, 109]
b=m^3 proven composite by full algebraic factors
b=128: no possible prime

Sierp k=9:

b==(1 mod 2): factor of 2
b==(1 mod 5): factor of 5

Sierp k=10:

b==(1 mod 11): factor of 11
b==(32 mod 33): covering set [3, 11]

Sierp k=11:

b==(1 mod 2): factor of 2
b==(1 mod 3): factor of 3
b==(14 mod 15): covering set [3, 5]

Sierp k=12:

b==(1 mod 13): factor of 13
b==(142 mod 143): covering set [11, 13]
b=296, 901: covering set [7, 11, 13, 19]
b=562, 828, 900: covering set [7, 13, 19]
b=563: covering set [5, 7, 13, 19, 29]
b=597: covering set [5, 13, 29]
