mersenneforum.org A Sierpinski/Riesel-like problem
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 2020-11-18, 01:03 #1090 sweety439   Nov 2016 53148 Posts
2020-11-18, 01:05   #1091
sweety439

Nov 2016

ACC16 Posts

Quote:
 Originally Posted by sweety439
Updating:

* 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*2^11280802-1 is prime found by PrimeGrid's project, see post https://mersenneforum.org/showpost.p...&postcount=215

 2020-11-18, 01:15 #1092 sweety439   Nov 2016 53148 Posts GitHub link for this project: https://github.com/xayahrainie4793/E...el-conjectures (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
 2020-11-19, 03:35 #1093 sweety439   Nov 2016 276410 Posts Newest status: S53 at 1.67M
 2020-11-19, 03:39 #1094 sweety439   Nov 2016 276410 Posts Conjectured k for bases 2<=b<=2500 and b = 4096, 8192, 16384, 32768, 65536 Sierpinski Riesel
 2020-11-21, 04:44 #1095 sweety439   Nov 2016 22·691 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
 2020-11-21, 04:48 #1096 sweety439   Nov 2016 22×691 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.
 2020-11-21, 04:51 #1097 sweety439   Nov 2016 ACC16 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*311^36497-1)/gcd(1-1,311-1) = (311^36497-1)/310, for k=1)
 2020-11-21, 04:52 #1098 sweety439   Nov 2016 ACC16 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.
 2020-11-21, 04:57 #1099 sweety439   Nov 2016 22×691 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)
 2020-11-21, 05:01 #1100 sweety439   Nov 2016 276410 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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