A Sierpinski/Riesel-like problem - Page 44

sweety439 · 2017-10-14, 14:35

(191*105^5045+1)/8 is (probable) prime!!!

S105 is proven!!!

sweety439 · 2017-10-14, 17:12

S123 tested to n=8K (4K-8K)

nothing found, 3 remain

Reserve S113 and R123 to n=8K.

sweety439 · 2017-10-14, 17:21

Reserve R67 to n=10K and R91 to n=8K.

Now, all 1k bases <= 128 are reserved to at least n=8K!!!

I will reserve all 2k and 3k bases after these 1k bases done to n=8K, including these bases:

S115 (3k), R70 (3k), R73 (2k), R85 (3k), R105 (3k), R118 (2k)

Also reserve R31 (for all remain k's) to n=12K after these 1k bases done to n=8K.

sweety439 · 2017-10-14, 17:24

Quote:

Originally Posted by sweety439

Reserve R67 to n=10K and R91 to n=8K.

Now, all 1k bases <= 128 are reserved to at least n=8K!!!

I will reserve all 2k and 3k bases after these 1k bases done to n=8K, including these bases:

S115 (3k), R70 (3k), R73 (2k), R85 (3k), R105 (3k), R118 (2k)

Also reserve R31 (for all remain k's) to n=12K after these 1k bases done to n=8K.

(25*67^2829-1)/6 is (probable) prime!!!

R67 is proven!!!

sweety439 · 2017-10-14, 19:06

(27*91^5048-1)/2 is (probable) prime!!!

R91 is proven!!!

sweety439 · 2017-10-14, 19:09

Quote:

Originally Posted by sweety439

S123 tested to n=8K (4K-8K)

nothing found, 3 remain

Reserve S113 and R123 to n=8K.

S113 tested to n=8K (4K-8K)

nothing found, 1 remain

R123 tested to n=8K (4K-8K)

nothing found, 1 remain

sweety439 · 2017-10-15, 13:11

The webpage for this thread:

Sierpinski conjectures: http://www.mersennewiki.org/index.ph..._definition%29

Riesel conjectures: http://www.mersennewiki.org/index.ph..._definition%29

sweety439 · 2017-10-15, 22:40

(k*b^n+1)/gcd(k+1,b-1) has algebra factors if and only if k*b^n is either perfect odd power or of the form 4*m^4.

(k*b^n-1)/gcd(k-1,b-1) has algebra factors if and only if k*b^n is perfect power.

sweety439 · 2017-10-16, 19:06

Code:

k,n
1,4
2,6
3,1
4,19
5,2
6,16796
7,1
8,1
9,15
10,1
11,2
12,1
13,1

With CK=14, this base is proven.

sweety439 · 2017-10-16, 19:07

Code:

k,n
1,4
2,2
3,1
4,2
5,1
6,5
7,3
8,2
9,2
10,1
11,1
12,2

With CK=13, this base is proven.

sweety439 · 2017-10-16, 19:10

Code:

k,n
1,1
2,1
3,2
4,5
5,2
6,3
7,1
8,7
9,1
10,4
11,4
12,1
13,3
14,2
15,1
16,1
17,2
18,2
19,806
20,1
21,1
22,1
23,?
24,2
25,1
26,1
27,8
28,6
29,1
30,5
31,1
32,6
33,2
34,1
35,2
36,1
37,2
38,43
39,1
40,2
41,8
42,4
43,12
44,1
45,8
46,4
47,1
48,18
49,1
50,6
51,?
52,1
53,2
54,1
55,3
56,3
57,174
58,10

WIth CK=59, k=23 and 51 remain.

2017-10-16, 19:06	#482
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2·13·113 Posts	Sierpinski base 129 Code: k,n 1,4 2,6 3,1 4,19 5,2 6,16796 7,1 8,1 9,15 10,1 11,2 12,1 13,1 With CK=14, this base is proven.

2017-10-16, 19:07	#483
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2·13·113 Posts	Sierpinski base 132 Code: k,n 1,4 2,2 3,1 4,2 5,1 6,5 7,3 8,2 9,2 10,1 11,1 12,2 With CK=13, this base is proven. Last fiddled with by sweety439 on 2017-10-16 at 19:08

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2017-10-14, 14:35	#474
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2·13·113 Posts	(191*105^5045+1)/8 is (probable) prime!!! S105 is proven!!!

2017-10-14, 17:12	#475
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 B7A₁₆ Posts	S123 tested to n=8K (4K-8K) nothing found, 3 remain Reserve S113 and R123 to n=8K.

2017-10-14, 17:21	#476
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2×13×113 Posts	Reserve R67 to n=10K and R91 to n=8K. Now, all 1k bases <= 128 are reserved to at least n=8K!!! I will reserve all 2k and 3k bases after these 1k bases done to n=8K, including these bases: S115 (3k), R70 (3k), R73 (2k), R85 (3k), R105 (3k), R118 (2k) Also reserve R31 (for all remain k's) to n=12K after these 1k bases done to n=8K.

2017-10-14, 19:06	#478
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2·13·113 Posts	(27*91^5048-1)/2 is (probable) prime!!! R91 is proven!!!

2017-10-15, 13:11	#480
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2×13×113 Posts	The webpage for this thread: Sierpinski conjectures: http://www.mersennewiki.org/index.ph..._definition%29 Riesel conjectures: http://www.mersennewiki.org/index.ph..._definition%29

2017-10-15, 22:40	#481
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2×13×113 Posts	(kb^n+1)/gcd(k+1,b-1) has algebra factors if and only if kb^n is either perfect odd power or of the form 4m^4. (kb^n-1)/gcd(k-1,b-1) has algebra factors if and only if k*b^n is perfect power.