Carol / Kynea Primes - Page 21

lalera · 2019-06-29, 17:54

hi,
from where can i download cksieve ?
The requested URL /rogue/cksieve_1.1.4.7z was not found on this server

Dylan14 · 2019-06-29, 19:00

Quote:

Originally Posted by lalera

hi,
from where can i download cksieve ?
The requested URL /rogue/cksieve_1.1.4.7z was not found on this server

cksieve is part of the mtsieve framework, which can be downloaded here: http://www.mersenneforum.org/rogue/mtsieve_1.9.2.7z.

kar_bon · 2019-07-03, 12:50

Just filling in data for CK in the Wiki and found a missed prime:

(260^4128-1)^2-2

This was given in the output file but overlooked in 2018.

kar_bon · 2019-07-14, 20:47

There seems a new Kynea: (2^852770+1)^2-2 found by Ryan Propper.

rogue · 2019-07-15, 12:50

(22^42356+1)^2-2
(22^52147+1)^2-2
(22^82020+1)^2-2
(22^92539-1)^2-2

Base 22 completed to n=100000 and released.

Dylan14 · 2019-07-17, 19:01

Base 40320 is complete to n = 10k. Ten primes found:

Code:

 (40320^1+1)^2-2
 (40320^2-1)^2-2
 (40320^3-1)^2-2
 (40320^6-1)^2-2
 (40320^22+1)^2-2
 (40320^28+1)^2-2
 (40320^241+1)^2-2
 (40320^260+1)^2-2
 (40320^6582-1)^2-2
 (40320^9492-1)^2-2

rogue · 2019-08-06, 21:22

Both are prime. The base is completed to n=100000 and released.

(24^55716-1)^2-2
(24^46309-1)^2-2

rogue · 2019-08-08, 15:02

Base 26 completed to n=100000. No new primes. The base is released.

kar_bon · 2019-10-08, 12:34

Base 394:

Found this today:
(394^49500-1)^2-2 is prime, 256955 digits

Used pfgw64 4.0.0
pfgw64 -tc -q"(394^49500-1)^2-2"
PFGW Version 4.0.0.64BIT.20190528.Win_Dev [GWNUM 29.8]

Primality testing (394^49500-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Running N+1 test using discriminant 11, base 3+sqrt(11)
(394^49500-1)^2-2 is prime! (9432.4430s+0.0303s)

This was the 2nd lowest base without any Carol-Prime. I will continue to n=50k.

gd_barnes · 2019-10-09, 04:53

Quote:

Originally Posted by kar_bon

Base 394:

Found this today:
(394^49500-1)^2-2 is prime, 256955 digits

Used pfgw64 4.0.0
pfgw64 -tc -q"(394^49500-1)^2-2"
PFGW Version 4.0.0.64BIT.20190528.Win_Dev [GWNUM 29.8]

Primality testing (394^49500-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Running N+1 test using discriminant 11, base 3+sqrt(11)
(394^49500-1)^2-2 is prime! (9432.4430s+0.0303s)

This was the 2nd lowest base without any Carol-Prime. I will continue to n=50k.

Congrats! :-)

I don't see a reservation for this. Are you testing both the Carol and Kynea sides to n=50K ? Were there any Kynea primes for n>198 ?

kar_bon · 2020-01-07, 13:42

I'm always testing both sides, and there was no other prime than that.

Here's another one:
(1442^40757+1)^2-2 is prime, 257500 digits
tested up to n=41k with only n= 1, 5 & 66 for Kynea-side.

2019-07-17, 19:01	#226
Dylan14 "Dylan" Mar 2017 3·193 Posts	Base 40320 is complete to n = 10k. Ten primes found: Code: (40320^1+1)^2-2 (40320^2-1)^2-2 (40320^3-1)^2-2 (40320^6-1)^2-2 (40320^22+1)^2-2 (40320^28+1)^2-2 (40320^241+1)^2-2 (40320^260+1)^2-2 (40320^6582-1)^2-2 (40320^9492-1)^2-2

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2019-06-29, 17:54	#221
lalera Jul 2003 1143₈ Posts	hi, from where can i download cksieve ? The requested URL /rogue/cksieve_1.1.4.7z was not found on this server

2019-07-03, 12:50	#223
kar_bon Mar 2006 Germany B58₁₆ Posts	Just filling in data for CK in the Wiki and found a missed prime: (260^4128-1)^2-2 This was given in the output file but overlooked in 2018.

2019-07-14, 20:47	#224
kar_bon Mar 2006 Germany B58₁₆ Posts	There seems a new Kynea: (2^852770+1)^2-2 found by Ryan Propper.

2019-07-15, 12:50	#225
rogue "Mark" Apr 2003 Between here and the 11×577 Posts	(22^42356+1)^2-2 (22^52147+1)^2-2 (22^82020+1)^2-2 (22^92539-1)^2-2 Base 22 completed to n=100000 and released.

2019-08-06, 21:22	#227
rogue "Mark" Apr 2003 Between here and the 1100011001011₂ Posts	Both are prime. The base is completed to n=100000 and released. (24^55716-1)^2-2 (24^46309-1)^2-2

2019-08-08, 15:02	#228
rogue "Mark" Apr 2003 Between here and the 11·577 Posts	Base 26 completed to n=100000. No new primes. The base is released.

2019-10-08, 12:34	#229
kar_bon Mar 2006 Germany 2³×3×11² Posts	Base 394: Found this today: (394^49500-1)^2-2 is prime, 256955 digits Used pfgw64 4.0.0 pfgw64 -tc -q"(394^49500-1)^2-2" PFGW Version 4.0.0.64BIT.20190528.Win_Dev [GWNUM 29.8] Primality testing (394^49500-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 2+sqrt(11) Running N+1 test using discriminant 11, base 3+sqrt(11) (394^49500-1)^2-2 is prime! (9432.4430s+0.0303s) This was the 2nd lowest base without any Carol-Prime. I will continue to n=50k.

2020-01-07, 13:42	#231
kar_bon Mar 2006 Germany 2³×3×11² Posts	I'm always testing both sides, and there was no other prime than that. Here's another one: (1442^40757+1)^2-2 is prime, 257500 digits tested up to n=41k with only n= 1, 5 & 66 for Kynea-side.