20201118, 01:03  #1090 
Nov 2016
2764_{10} Posts 

20201118, 01:05  #1091  
Nov 2016
2^{2}×691 Posts 
Quote:
* S36 k=1814 tested to n=100K (the same testing: S6 k=1814 tested to n=200K) * R43 tested to n=50K by Dylan14 * R70 tested to n=50K * 146561*2^112808021 is prime found by PrimeGrid's project, see post https://mersenneforum.org/showpost.p...&postcount=215 

20201118, 01:15  #1092 
Nov 2016
2^{2}×691 Posts 
GitHub link for this project: https://github.com/xayahrainie4793/E...elconjectures (for b = 2 to 128 and b = 256, 512, 1024, with k < 1st CK)
GitHub link for the (k,b) combo outside of this project: (including b > 128 (except b = 256, 512, 1024) and k's > CK) k < 4th CK (for b = 2 to 64 (except 2, 3, 6, 15, 22, 24, 28, 30, 36, 40, 42, 46, 48, 52, 58, 60, 63 (which have larger conjectured k's)) and b = 100, 128, 256, 512, 1024) k <= 1024 (for b = 2 to 32 and b = 64, 128, 256) all k <= 12 for b <= 1024 
20201119, 03:35  #1093 
Nov 2016
2^{2}×691 Posts 
Newest status: S53 at 1.67M

20201119, 03:39  #1094 
Nov 2016
2^{2}·691 Posts 

20201121, 04:44  #1095 
Nov 2016
2^{2}·691 Posts 
I have in fact completed all Sierpinski/Riesel bases 2<=b<=1024 with CK<=13 to n=6000, since I have tested all k<=12 to all Sierpinski/Riesel bases 2<=b<=1024
* Sierpinski bases 2<=b<=1024 have CK=4 if and only if b == 14 mod 15 * Riesel bases 2<=b<=1024 have CK=4 if and only if b == 14 mod 15 * Sierpinski bases 2<=b<=1024 have CK=5 if and only if b == 11 mod 12 * Riesel bases 2<=b<=1024 have CK=5 if and only if b == 11 mod 12 * Sierpinski bases 2<=b<=1024 have CK=6 if and only if b == 34 mod 35 * Riesel bases 2<=b<=1024 have CK=6 if and only if b == 34 mod 35 
20201121, 04:48  #1096 
Nov 2016
2764_{10} Posts 
For the Riesel bases with CK=4:
R269 has k=1 remain R659 has k=3 remain R1019 has k=2 remain Other bases are proven. 
20201121, 04:51  #1097 
Nov 2016
2764_{10} Posts 
For the Riesel bases with CK=5:
bases 347, 575, 587, 731 have k=3 remain bases 275 and 647 have k=4 remain Other bases are proven (an interesting one is R311, largest (probable) prime is (1*311^364971)/gcd(11,3111) = (311^364971)/310, for k=1) 
20201121, 04:52  #1098 
Nov 2016
2^{2}·691 Posts 
For the Riesel bases with CK=6:
R384 has k=1 remain R489 has k=5 remain R699 has k=3 remain Other bases are proven. 
20201121, 04:57  #1099 
Nov 2016
2^{2}×691 Posts 
For the Sierpinski bases with CK=4:
bases 89, 104, 149, 179, 269, 344, 359, 389, 404, 509, 524, 629, 659, 734, 749, 794, 809, 854, 899, 944, 974 have k=1 remain bases 914 and 1004 have k=2 remain bases 779 has k=3 remain Other bases are proven (interestingly, all Sierpinski bases with CK=4 have at most one k remain, i.e. there are no Sierpinski bases with CK=4 which are 2k bases or 3k bases) 
20201121, 05:01  #1100 
Nov 2016
2^{2}×691 Posts 
For the Sierpinski bases with CK=5:
bases 83, 107, 143, 155, 215, 227, 263, 287, 311, 347, 383, 407, 443, 467, 515, 563, 611, 635, 647, 671, 683, 707, 731, 743, 755, 767, 851, 887, 911, 923, 947, 983 have k=1 remain bases 83, 191, 323, 683, 743, 827 have k=3 remain bases 155, 335, 371, 395, 467, 611, 731, 767, 803, 851, 875, 971 have k=4 remain Other bases are proven. 
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