mersenneforum.org Carol / Kynea Primes
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 2019-06-29, 17:54 #221 lalera     Jul 2003 23·73 Posts hi, from where can i download cksieve ? The requested URL /rogue/cksieve_1.1.4.7z was not found on this server
2019-06-29, 19:00   #222
Dylan14

"Dylan"
Mar 2017

49810 Posts

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

 2019-07-03, 12:50 #223 kar_bon     Mar 2006 Germany 17·167 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 54278 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 2×32×52×13 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.
 2019-07-17, 19:01 #226 Dylan14     "Dylan" Mar 2017 2×3×83 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
 2019-08-06, 21:22 #227 rogue     "Mark" Apr 2003 Between here and the 2·32·52·13 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 2·32·52·13 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 17×167 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.
2019-10-09, 04:53   #230
gd_barnes

May 2007
Kansas; USA

52×11×37 Posts

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 ?

Last fiddled with by gd_barnes on 2019-10-09 at 05:09

 2020-01-07, 13:42 #231 kar_bon     Mar 2006 Germany B1716 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.

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