Quote:
Originally Posted by sweety439
These are the conjectured first 4 Sierpinski/Riesel numbers, for the powerof2 bases searched up to b=2^16

k's with algebra factors for Sierpinski/Riesel base b=2^n with 9<=n<=16:
S512: all k = m^3
S1024: all k = m^5
S2048: all k = m^11
S4096: all k = m^3 and all k = 4*m^4
S8192: all k = m^13
S16384: all k = m^7 and all k = 2^r with r = 6, 10, 12 mod 14
S32768: all k = m^3 and all k = m^5 and all k = 2^r with r = 7, 11, 13, 14 mod 15
S65536: all k = 4*m^4
R512: all k = m^3
R1024: all k = m^2 and all k = m^5
R2048: all k = m^11
R4096: all k = m^2 and all k = m^3
R8192: all k = m^13
R16384: all k = m^2 and all k = m^7
R32768: all k = m^3 and all k = m^5
R65536: all k = m^2