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Old 2021-02-27, 07:28   #1211
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default Riesel base 181

Code:
1,17
2,2
3,1
4,1
5,0
6,2
7,1
8,1
9,5
10,5
11,1
12,8
13,2
14,29
15,3
16,1
17,1
18,1
19,1
20,2
21,0
22,1
23,1
24,5
With CK=25

k = 5, 21 remain at n=2000
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Old 2021-02-27, 07:30   #1212
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

B5916 Posts
Default Riesel base 182

Code:
1,167
2,4
3,2
4,1
5,6
6,1
7,209
8,2
9,1
10,3
11,34
12,6
13,7
14,4
15,1
16,15
17,4
18,2
19,1
20,4
21,1
22,1
23,8
24,4
25,1
26,990
27,38
28,3
29,632
30,4
31,1
32,12
33,3
34,3
35,2
36,1
37,1
38,2
39,17
40,41
41,2
42,1
43,502611
44,152
45,3
46,5
47,122
48,4
49,7
50,2
51,1
52,1
53,2
54,329
55,1
56,2
57,4
58,127
59,96
60,2
61,7
With CK=62

k=43 prime given by CRUS

Conjecture proven
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Old 2021-02-27, 07:32   #1213
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default Riesel base 183

Code:
1,223
2,2
3,4
4,3
5,1
6,1
7,6
8,2
9,1
10,2
11,2
12,2
13,581
14,1
15,42
16,1
17,175
18,2
19,4
20,1
21,27
22,2
23,534
24,1
25,1
26,37
27,40
28,5
29,1
30,2
31,6
32,3
33,1
34,1
35,2
36,1
37,155
38,10
39,8
40,1
41,3
42,11
43,2
44,3
With CK=45

Conjecture proven
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Old 2021-02-27, 07:35   #1214
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default Riesel base 184

Code:
1,16703
2,1
3,6
4,(partial algebra factors)
5,1
6,1
7,32
8,1
9,(partial algebra factors)
10,1
11,15
12,1
13,1
14,8
15,2
16,21
17,2
18,2
19,10
20,2
21,1
22,7
23,1
24,8
25,5
26,1
27,1
28,85
29,2
30,1
31,1
32,2
33,2
34,6
35,2
With CK=36

k=1 prime given by generalized repunit prime search

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*184^q - 1) * (m*184^q + 1)
odd n:
factor of 5

This includes k = 4, 9

Conjecture proven
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Old 2021-02-27, 07:39   #1215
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default Riesel base 185

Code:
1,0
2,2
3,1
4,1
5,4
6,1
7,1
8,8
9,(partial algebra factors)
10,6783
11,4
12,8
13,1
14,4
15,2
16,3
With CK=17

All k where k = m^2 and m = = 3 or 5 mod 8:
for even n let k = m^2 and let n = 2*q; factors to:
(m*185^q - 1) * (m*185^q + 1)
odd n:
factor of 2

This includes k = 9

k=10 prime given by CRUS

k = 1 remain at n=66337, see post https://mersenneforum.org/showpost.p...&postcount=225
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Old 2021-02-27, 08:47   #1216
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default Riesel base 186

Code:
1,7
2,2
3,1
4,1
5,1
6,1
7,1
8,1
9,5
10,4
11,1
12,112717
13,1
14,4
15,1
16,(partial algebra factors)
17,2
18,1
19,1
20,1
21,2
22,1
23,3
24,1
25,1
26,1
27,1
28,4
29,1
30,2
31,1
32,388
33,2
34,1
35,13
36,0
37,3
38,1
39,1
40,3
41,2
42,7
43,44
44,14
45,1
46,4
47,1
48,4
49,5
50,2
51,32
52,11
53,1
54,2
55,2
56,1
57,1
58,9
59,1
60,1
61,1
62,2
63,1
64,1
65,2
66,5
With CK=67

k=12 prime given by CRUS

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*186^q - 1) * (m*186^q + 1)
odd n:
factor of 17

This includes k = 16

k = 36 remain at n=2000
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Old 2021-05-28, 02:26   #1217
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default

Update the status pdf files.

Also newest files for Riesel problems and Sierpinski problems
Attached Files
File Type: pdf Riesel problems.pdf (394.6 KB, 17 views)
File Type: pdf Sierpinski problems.pdf (364.9 KB, 20 views)

Last fiddled with by sweety439 on 2021-06-14 at 23:08
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Old 2021-06-07, 14:32   #1218
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default

Quote:
Originally Posted by sweety439 View Post
Newest status for b<=128 and k<=128:

Riesel

Sierpinski
For the status for b<=128 and k<=128, see Sierpinski and Riesel
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Old 2021-06-14, 21:03   #1219
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default

Riesel bases have extended to 200

https://docs.google.com/document/d/e...FgpcOr1XfA/pub

Also Sierp bases file is now building ....

https://docs.google.com/document/d/e...b9OKKSpYh0/pub

Last fiddled with by sweety439 on 2021-07-04 at 14:03
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Old 2021-06-14, 21:33   #1220
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default

Quote:
Originally Posted by sweety439 View Post
searched to n=2000, see the text file for the status, 0 if no (probable) prime found for this k

CK=285

Only k = 201 remain at n=2000
(201*141^5279-1)/20 is probable prime.

R141 is proven.

(consecutive proven Riesel bases: R139 to R144)
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Old 2021-06-14, 22:58   #1221
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

290510 Posts
Default

Quote:
Originally Posted by sweety439 View Post
Update the status pdf files.

Also newest files for Riesel problems and Sierpinski problems
Files updated to include the newest status for R63, S63, S81, S97, S106 (the old files only include S81 and S97)
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