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Old 2020-12-21, 18:32   #1123
sweety439
 
Nov 2016

22×3×5×47 Posts
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Newest status for b<=128 and k<=128:

Riesel

Sierpinski
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Old 2020-12-21, 18:38   #1124
sweety439
 
Nov 2016

B0416 Posts
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Quote:
Originally Posted by sweety439 View Post
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

https://docs.google.com/document/d/e...8_KaoPaVRy/pub
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Old 2020-12-21, 20:08   #1125
sweety439
 
Nov 2016

54048 Posts
Default 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
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Old 2020-12-21, 20:10   #1126
sweety439
 
Nov 2016

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Zip file for all Sierpinski/Riesel bases 2<=b<=128: https://github.com/xayahrainie4793/E...ive/master.zip
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Old 2020-12-21, 21:50   #1127
sweety439
 
Nov 2016

1011000001002 Posts
Default 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
File Type: txt R130 status.txt (19.6 KB, 18 views)

Last fiddled with by sweety439 on 2020-12-21 at 21:51
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Old 2020-12-21, 21:51   #1128
sweety439
 
Nov 2016

22×3×5×47 Posts
Default Riesel base 131

Code:
1,3
2,4
3,2
4,1
With CK=5

Conjecture proven
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Old 2020-12-21, 21:53   #1129
sweety439
 
Nov 2016

22·3·5·47 Posts
Default 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
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Old 2020-12-21, 21:53   #1130
sweety439
 
Nov 2016

22×3×5×47 Posts
Default 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
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Old 2020-12-21, 21:54   #1131
sweety439
 
Nov 2016

22·3·5·47 Posts
Default Riesel base 134

Code:
1,5
2,2
3,1
With CK=4

Conjecture proven
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Old 2020-12-21, 22:06   #1132
sweety439
 
Nov 2016

54048 Posts
Default 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
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Old 2020-12-21, 22:09   #1133
sweety439
 
Nov 2016

54048 Posts
Default 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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