Share N+/-1 Primality Proofs - Page 38

MDaniello · 2019-09-30, 09:45

Code:

10^1152*962-1             1155 digits  N+1
(2^19937-1)*47322-1       6007 digits  N+1
519099194266*39383#/5+1   17026 digits N-1
519000048946*39383#/5+1   17026 digits N-1

The db struggled to find the factors of 17 kilodigits numbers, i had to feed them by hand.

MDaniello · 2019-10-07, 08:16

Code:

(9906^211-1)/9905   840 digits   N-1
(10^160-1)^9-2      1440 digits  N+1
10^1935*4839+1      1939 digits  N-1
1008075799*34687#+1 15004 digits N-1

chris2be8 · 2019-11-04, 17:08

I've just noticed a pair of PRPs in factordb where proving the first will enable a N+1 proof the second is prime:

Code:

1100000001387645306 	((10^519*314-1)/7+1)/225437715424011794
1100000001387619377 	(10^519*314-1)/7

Chris

MDaniello · 2019-12-29, 11:41

Code:

570^101*202^285-1   N+1, 936 digits
914^37*74^457+1   N-1, 964 digits
(10^4450+27)/37   N-1, 4449 digits

chris2be8 · 2020-01-05, 16:41

Here's a pair of 617 digit numbers where proving the first will enable a N-1 proof the second is prime.

Code:

1100000001427979855 	(2^2048-1942290)/2
1100000001427979798 	2^2048-1942289

Chris

MDaniello · 2020-02-02, 19:21

Proved (4794^316+1)/(4794^4+1) by N-1.

I'm gonna quit looking for candidates for N-/+1 for a while.

chris2be8 · 2020-03-05, 16:46

Here's a pair of number where proving the first prime will enable a proof the second is prime.

Code:

1100000001455109246 	((10^319*2006-1)/13+1)/188
1100000001454746335 	(10^319*2006-1)/13

Chris

chris2be8 · 2020-03-06, 16:54

And another pair:

Code:

1100000001462125017 	((10^326*85-283)/99-1)/437227540622
1100000001461710877 	(10^326*85-283)/99

Chris

chris2be8 · 2020-03-08, 16:57

And another:

Code:

1100000001460913495 	((10^321*48-1)/7329721-1)/132301834
1100000001455972906 	(10^321*48-1)/7329721

Also there are a lot of 300-3000 digit PRPs waiting to be proved. Would anyone like to work on them?

Chris

PS. Also:

Code:

1100000001461377942 	((10^329*56+673)/779121603-1)/744707272610
1100000001457480662 	(10^329*56+673)/779121603

Code:

1100000001461467960 	((10^323-2000001)/47+1)/76555897866
1100000001457575540 	(10^323-2000001)/47

chris2be8 · 2020-03-09, 16:56

And ...

Code:

1100000001464121295 	((10^302*17-149)/33-1)/2
1100000001463047208 	(10^302*17-149)/33

Chris

chris2be8 · 2020-03-13, 16:40

And ...

Code:

1100000001465538202 	((10^318*59-131)/6801479019+1)/328
1100000001461703628 	(10^318*59-131)/6801479019

Code:

1100000001466031159 	((10^314*235-1)/3087-1)/103632
1100000001462936645 	(10^314*235-1)/3087

Chris

2019-09-30, 09:45	#408
MDaniello May 2019 Rome, Italy 35₁₀ Posts	Code: 10^1152962-1 1155 digits N+1 (2^19937-1)47322-1 6007 digits N+1 51909919426639383#/5+1 17026 digits N-1 51900004894639383#/5+1 17026 digits N-1 The db struggled to find the factors of 17 kilodigits numbers, i had to feed them by hand.

2019-10-07, 08:16	#409
MDaniello May 2019 Rome, Italy 5×7 Posts	Code: (9906^211-1)/9905 840 digits N-1 (10^160-1)^9-2 1440 digits N+1 10^19354839+1 1939 digits N-1 100807579934687#+1 15004 digits N-1

2019-11-04, 17:08	#410
chris2be8 Sep 2009 2×1,039 Posts	I've just noticed a pair of PRPs in factordb where proving the first will enable a N+1 proof the second is prime: Code: 1100000001387645306 ((10^519314-1)/7+1)/225437715424011794 1100000001387619377 (10^519314-1)/7 Chris

2019-12-29, 11:41	#411
MDaniello May 2019 Rome, Italy 5×7 Posts	Code: 570^101202^285-1 N+1, 936 digits 914^3774^457+1 N-1, 964 digits (10^4450+27)/37 N-1, 4449 digits

2020-01-05, 16:41	#412
chris2be8 Sep 2009 2·1,039 Posts	Here's a pair of 617 digit numbers where proving the first will enable a N-1 proof the second is prime. Code: 1100000001427979855 (2^2048-1942290)/2 1100000001427979798 2^2048-1942289 Chris

2020-02-02, 19:21	#413
MDaniello May 2019 Rome, Italy 5·7 Posts	Proved (4794^316+1)/(4794^4+1) by N-1. I'm gonna quit looking for candidates for N-/+1 for a while.

2020-03-05, 16:46	#414
chris2be8 Sep 2009 2×1,039 Posts	Here's a pair of number where proving the first prime will enable a proof the second is prime. Code: 1100000001455109246 ((10^3192006-1)/13+1)/188 1100000001454746335 (10^3192006-1)/13 Chris

2020-03-06, 16:54	#415
chris2be8 Sep 2009 2·1,039 Posts	And another pair: Code: 1100000001462125017 ((10^32685-283)/99-1)/437227540622 1100000001461710877 (10^32685-283)/99 Chris

2020-03-08, 16:57	#416
chris2be8 Sep 2009 2×1,039 Posts	And another: Code: 1100000001460913495 ((10^32148-1)/7329721-1)/132301834 1100000001455972906 (10^32148-1)/7329721 Also there are a lot of 300-3000 digit PRPs waiting to be proved. Would anyone like to work on them? Chris PS. Also: Code: 1100000001461377942 ((10^32956+673)/779121603-1)/744707272610 1100000001457480662 (10^32956+673)/779121603 Code: 1100000001461467960 ((10^323-2000001)/47+1)/76555897866 1100000001457575540 (10^323-2000001)/47 Last fiddled with by chris2be8 on 2020-03-08 at 17:02 Reason: Added another pair.

2020-03-09, 16:56	#417
chris2be8 Sep 2009 4036₈ Posts	And ... Code: 1100000001464121295 ((10^30217-149)/33-1)/2 1100000001463047208 (10^30217-149)/33 Chris Last fiddled with by chris2be8 on 2020-03-09 at 17:02 Reason: Duplicate post.

2020-03-13, 16:40	#418
chris2be8 Sep 2009 2·1,039 Posts	And ... Code: 1100000001465538202 ((10^31859-131)/6801479019+1)/328 1100000001461703628 (10^31859-131)/6801479019 Code: 1100000001466031159 ((10^314235-1)/3087-1)/103632 1100000001462936645 (10^314235-1)/3087 Chris

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