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Old 2020-12-22, 11:38   #1145
sweety439
 
Nov 2016

2,819 Posts
Default

Reserve R/S 40

Update sieve files.
Attached Files
File Type: txt k.txt (9.2 KB, 30 views)
File Type: log srsieve.log (156 Bytes, 27 views)
File Type: zip t16_b40.zip (3.78 MB, 27 views)
File Type: zip t17_b40.zip (2.02 MB, 24 views)
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Old 2020-12-22, 11:42   #1146
sweety439
 
Nov 2016

2,819 Posts
Default Riesel base 145

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

CK=1169

(Condition 1):

All k where k = m^2 and m = = 27 or 46 mod 73:
for even n let k = m^2 and let n = 2*q; factors to:
(m*145^q - 1) * (m*145^q + 1)
odd n:
factor of 73

This includes k = 729

(Condition 2):

All k where k = m^2 and m = = 7 or 9 mod 16:
for even n let k = m^2 and let n = 2*q; factors to:
(m*145^q - 1) * (m*145^q + 1)
odd n:
factor of 2

This includes k = 49, 81, 529, 625
Attached Files
File Type: txt R145 status.txt (8.3 KB, 22 views)

Last fiddled with by sweety439 on 2021-02-11 at 05:33
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Old 2020-12-22, 11:43   #1147
sweety439
 
Nov 2016

2,819 Posts
Default Riesel base 146

Code:
1,7
2,16
3,3
4,5
5,30
6,2
7,1
With CK=8

Conjecture proven
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Old 2020-12-22, 12:09   #1148
sweety439
 
Nov 2016

2,819 Posts
Default Riesel base 147

Code:
1,3
2,1
3,2
4,1
5,1
6,1
7,14
8,2
9,1
10,14
11,0
12,112
13,31
14,3
15,46
16,1
17,1
18,2
19,140
20,1
21,1
22,48
23,4
24,1
25,5
26,1
27,2
28,2
29,1
30,1
31,10
32,1
33,619
34,43
35,4
36,(partial algebra factors)
37,1
38,131
39,12
40,1
41,9
42,1
43,20
44,3
45,1
46,1
47,8
48,96
49,0
50,1
51,0
52,1
53,3
54,1
55,0
56,1
57,13
58,0
59,0
60,1
61,1
62,29
63,0
64,169
65,5
66,3
67,2
68,7
69,13
70,1
71,114
72,2
With CK=73

searched to n=2000, 0 if no prime found for this k, this base has many k remain at n=2000, and seems to be low-weight base

All k where k = m^2 and m = = 6 or 31 mod 37:
for even n let k = m^2 and let n = 2*q; factors to:
(m*147^q - 1) * (m*147^q + 1)
odd n:
factor of 37

This includes k = 36

Last fiddled with by sweety439 on 2020-12-23 at 00:35
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Old 2020-12-22, 12:59   #1149
sweety439
 
Nov 2016

2,819 Posts
Default

Tested R63, completed to n=2000

I will completed all (Riesel or Sierpinski) bases with small CK and only tested to n=1000, to n=2000, this includes bases R63, R127, S63, S81, S97, S106
Attached Files
File Type: txt R63.txt (6.1 KB, 24 views)
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Old 2020-12-22, 14:47   #1150
sweety439
 
Nov 2016

B0316 Posts
Default

S63 completed to n=2000

Additional primes not in the list:

1108*63^12351+1
888*63^2698+1
(9*63^2162+1)/2 = (567*63^2161+1)/2
Attached Files
File Type: txt S63.txt (11.9 KB, 25 views)
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Old 2020-12-22, 15:41   #1151
sweety439
 
Nov 2016

2,819 Posts
Default Riesel base 148

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

CK=1936

All k where k = m^2 and m = = 44 or 105 mod 149:
for even n let k = m^2 and let n = 2*q; factors to:
(m*148^q - 1) * (m*148^q + 1)
odd n:
factor of 149

The smallest such k is exactly 1936, thus, no k's proven composite by algebraic factors
Attached Files
File Type: txt R148 status.txt (14.7 KB, 11 views)

Last fiddled with by sweety439 on 2021-02-24 at 23:06
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Old 2020-12-22, 15:42   #1152
sweety439
 
Nov 2016

1011000000112 Posts
Default Riesel base 149

Code:
1,7
2,4
3,1
With CK=4

Conjecture proven
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Old 2020-12-22, 15:47   #1153
sweety439
 
Nov 2016

2,819 Posts
Default

Quote:
Originally Posted by sweety439 View Post
Tested R63, completed to n=2000

I will completed all (Riesel or Sierpinski) bases with small CK and only tested to n=1000, to n=2000, this includes bases R63, R127, S63, S81, S97, S106
S81 reserving to n=5000

this file is the currently status for n<=2000

Note:

All k=4*q^4 for all n:
let k=4*q^4 and let m=q*3^n; factors to:
(2*m^2 + 2m + 1) * (2*m^2 - 2m + 1)

This includes k = 4, 64, 324
Attached Files
File Type: txt S81 status.txt (3.9 KB, 27 views)

Last fiddled with by sweety439 on 2021-02-11 at 05:35
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Old 2020-12-22, 16:25   #1154
sweety439
 
Nov 2016

B0316 Posts
Default Riesel base 150

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

CK=49074

Only list k == 1 mod 149 since other k are already in CRUS

the remain k with k == 1 mod 149 are 30993, 31738

other remain k are {206, 841, 1509, 1962, 3229, 4682, 5245, 5890, 6039, 6353, 6494, 7851, 9061, 9260, 11324, 11477, 11516, 12839, 14373, 16309, 16404, 16424, 16977, 17603, 18859, 19027, 19191, 19226, 20468, 20988, 22238, 22349, 22977, 23396, 23706, 23944, 24614, 24852, 25488, 25704, 25829, 26685, 27032, 28389, 28822, 30050, 31812, 33521, 34429, 34707, 35066, 35344, 36709, 36994, 37137, 39108, 39141, 39712, 39736, 40020, 42012, 42128, 43060, 43789, 44346, 44645, 44832, 46257, 46616, 47717, 48138}, see CRUS
Attached Files
File Type: txt R150 status.txt (2.9 KB, 26 views)

Last fiddled with by sweety439 on 2021-02-27 at 06:55
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Old 2020-12-22, 18:01   #1155
sweety439
 
Nov 2016

2,819 Posts
Default Riesel base 151

Code:
1,13
2,5
3,716
4,15
5,3
6,1
7,4
8,4
9,0
10,1
11,4
12,1
13,9
14,1
15,2
16,9
17,1
18,6
19,4
20,1
21,1
22,20
23,8
24,1
25,0
26,1
27,14
28,1
29,25
30,3
31,2
32,1
33,3
34,45
35,6
36,1
With CK=37

k = 9, 25 remain at n=2000
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