View Single Post 2020-08-05, 03:41   #925
sweety439

Nov 2016

44748 Posts Quote:
 Originally Posted by sweety439 Extended to base 539 Note: I only searched the k <= 5000000, if there are <16 Sierpinski/Riesel k's <= 5000000, then this text file only show the Sierpinski/Riesel k's <= 5000000 for this Sierpinski/Riesel base (if there are no Sierpinski/Riesel k's <= 5000000, then this text file do not show any Sierpinski/Riesel k's <= 5000000 for this Sierpinski/Riesel base), also, I only searched the exponent n <= 2000 (for (k*b^n+-1)/gcd(k+-1,b-1), + for Sierpinski, - for Riesel) and only searched the primes <= 100000 (for the prime factor of (k*b^n+-1)/gcd(k+-1,b-1), + for Sierpinski, - for Riesel), thus this text file wrongly shows 1 as Sierpinski number base 125, although (1*125^n+1)/gcd(1+1,125-1) has no covering set, but since (1*125^n+1)/gcd(1+1,125-1) has a prime factor <= 100000 for all n <= 2000
These are the conjectures in the thread https://mersenneforum.org/showthread.php?t=11061 (conjectured smallest prime Sierpinski/Riesel numbers), for the extended Sierpinski/Riesel conjectures (k*b^n+-1)/gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) for bases 2<=b<=128 and 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536
Attached Files prime Sierpinski.txt (1.1 KB, 16 views) prime Riesel.txt (1.1 KB, 17 views)

Last fiddled with by sweety439 on 2020-08-05 at 03:41  