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 2020-12-21, 18:32 #1123 sweety439   Nov 2016 22×3×5×47 Posts Newest status for b<=128 and k<=128: Riesel Sierpinski
2020-12-21, 18:38   #1124
sweety439

Nov 2016

B0416 Posts

Quote:
 Originally Posted by sweety439 https://docs.google.com/document/d/e...7wgHppPnpz/pub Update the file of Riesel conjectures to include the newest test limit of R2
A missing Enter character after "146561 (11280802)" in the "Top 10 k's with largest first primes: k (n)" column for R2

 2020-12-21, 20:08 #1125 sweety439   Nov 2016 54048 Posts Riesel base 129 Code: 1,5 2,1 3,1 4,(partial algebra factors) 5,3 6,1 7,2 8,1 9,(partial algebra factors) 10,1 11,1 12,228 13,1 With CK=14 All k where k = m^2 and m = = 2 or 3 mod 5: for even n let k = m^2 and let n = 2*q; factors to: (m*129^q - 1) * (m*129^q + 1) odd n: factor of 5 This includes k = 4, 9 Conjecture proven Last fiddled with by sweety439 on 2020-12-22 at 00:16
 2020-12-21, 20:10 #1126 sweety439   Nov 2016 22·3·5·47 Posts Zip file for all Sierpinski/Riesel bases 2<=b<=128: https://github.com/xayahrainie4793/E...ive/master.zip
2020-12-21, 21:50   #1127
sweety439

Nov 2016

1011000001002 Posts
Riesel base 130

searched to n=2000, see the text file for the status, 0 if no (probable) prime found for this k

CK=2563
Attached Files
 R130 status.txt (19.6 KB, 18 views)

Last fiddled with by sweety439 on 2020-12-21 at 21:51

 2020-12-21, 21:51 #1128 sweety439   Nov 2016 22×3×5×47 Posts Riesel base 131 Code: 1,3 2,4 3,2 4,1 With CK=5 Conjecture proven
 2020-12-21, 21:53 #1129 sweety439   Nov 2016 22·3·5·47 Posts Riesel base 132 Code: 1,47 2,1 3,38 4,3 5,1 6,2 7,2 8,11 9,1 10,1 11,1 12,1 13,2 14,1 15,1 16,1 17,1 18,62 19,9 With CK=20 Conjecture proven
 2020-12-21, 21:53 #1130 sweety439   Nov 2016 22×3×5×47 Posts Riesel base 133 Code: 1,13 2,4 3,1 4,3 5,2 6,1 7,3 8,1 9,3 10,1 11,5 12,3 13,2 14,1 15,1 16,1 With CK=17 Conjecture proven Last fiddled with by sweety439 on 2020-12-21 at 21:54
 2020-12-21, 21:54 #1131 sweety439   Nov 2016 22·3·5·47 Posts Riesel base 134 Code: 1,5 2,2 3,1 With CK=4 Conjecture proven
 2020-12-21, 22:06 #1132 sweety439   Nov 2016 54048 Posts Riesel base 135 Code: 1,1171 2,1 3,2 4,5 5,1 6,1 7,26 8,2 9,1 10,4 11,2 12,1 13,1 14,1 15,4 16,(partial algebra factors) 17,11 18,569 19,2 20,1 21,3 22,1 23,6 24,5 25,317 26,13 27,0 28,1 29,697 30,1 31,2 32,0 With CK=33 All k where k = m^2 and m = = 4 or 13 mod 17: for even n let k = m^2 and let n = 2*q; factors to: (m*135^q - 1) * (m*135^q + 1) odd n: factor of 17 This includes k = 16 k = 27, 32 remain at n=2000 Last fiddled with by sweety439 on 2021-02-25 at 22:39
 2020-12-21, 22:09 #1133 sweety439   Nov 2016 54048 Posts Riesel base 136 CK = 22195 and too many k not in CRUS (k == 1 mod 3 or k == 1 mod 5 (or both)), thus not run this base All k where k = m^2 and m = = 37 or 100 mod 137: for even n let k = m^2 and let n = 2*q; factors to: (m*136^q - 1) * (m*136^q + 1) odd n: factor of 137 This includes k = 1369, 10000 Last fiddled with by sweety439 on 2021-02-27 at 07:24

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