Carol / Kynea Primes - Page 7

rogue · 2016-05-30, 23:19

(2^621443+1)^2-2 is prime! At 374176 digits, it is a about 14,000 digits short of the Top 5000.

Batalov · 2016-05-31, 01:13

Arrgh!

Still a very decent number!

paulunderwood · 2016-05-31, 02:49

Quote:

Originally Posted by rogue

(2^621443+1)^2-2 is prime! At 374176 digits, it is a about 14,000 digits short of the Top 5000.

Congrats. The next one will be in the top5000.

Batalov · 2016-06-01, 01:51

(2482^18735+1)^2-2 is prime.

Now we only have two bases b=1656 (n<=70000) and b=2634 (n<=66000) that have no known primes under b<=3000.

____
EDIT: updated their search limits.

a1call · 2016-06-03, 14:03

Quote:

Originally Posted by rogue

I've started this thread to capture Carol / Kynea primes. Use this thread to post reservations.

Please go here to get a complete list of Carol and Kynea primes. You can continue to post new primes in this thread.

I have taken the liberty of setting up the following short redirect, should anyone care to use it:

http://ckps.19.lc

If there is an objection I will cancel the redirection.

Preferably by at least a PM.

lalera · 2016-06-06, 15:40

hi,
here are the results for carol / kynea
b=60, n=1000 to 30000
(60^1717+1)^2-2
(60^3882+1)^2-2
(60^6665-1)^2-2
(60^11307+1)^2-2
(60^11549-1)^2-2
b=62, n=1000 to 30000
(62^1573-1)^2-2
(62^2183+1)^2-2
(62^3818+1)^2-2
(62^8800+1)^2-2
(62^11080-1)^2-2
(62^13352+1)^2-2
(62^17625+1)^2-2

rogue · 2016-06-14, 21:17

(2^653490 - 1)^2 - 2 is prime! It will be in the 3700 range after it is verified.

paulunderwood · 2016-06-14, 21:40

Quote:

Originally Posted by rogue

(2^653490 - 1)^2 - 2 is prime! It will be in the 3700 range after it is verified.

Congrats on a top5000 near-square prime

rogue · 2016-06-18, 13:05

(2^661478+1)^2-2 is prime at 398250 digits.

paulunderwood · 2016-06-18, 14:39

Quote:

Originally Posted by rogue

(2^661478+1)^2-2 is prime at 398250 digits.

Congrats again

wombatman · 2016-06-28, 05:29

For base 26:

Code:

(26^74387-1)^2-2 is 3-PRP! (1279.8199s+0.0082s)

Still working to n=100,000.

2016-06-01, 01:51	#70
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2²·23·103 Posts	(2482^18735+1)^2-2 is prime. Now we only have two bases b=1656 (n<=70000) and b=2634 (n<=66000) that have no known primes under b<=3000. ____ EDIT: updated their search limits. Last fiddled with by Batalov on 2016-06-18 at 19:01

2016-06-14, 21:17	#73
rogue "Mark" Apr 2003 Between here and the 11×577 Posts	(2^653490 - 1)^2 - 2 is prime! It will be in the 3700 range after it is verified. Last fiddled with by rogue on 2016-06-14 at 21:17

2016-06-28, 05:29	#77
wombatman I moo ablest echo power! May 2013 29·61 Posts	For base 26: Code: (26^74387-1)^2-2 is 3-PRP! (1279.8199s+0.0082s) Still working to n=100,000.

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2016-05-30, 23:19	#67
rogue "Mark" Apr 2003 Between here and the 1100011001011₂ Posts	(2^621443+1)^2-2 is prime! At 374176 digits, it is a about 14,000 digits short of the Top 5000.

2016-05-31, 01:13	#68
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2²·23·103 Posts	Arrgh! Still a very decent number!

2016-06-06, 15:40	#72
lalera Jul 2003 1143₈ Posts	hi, here are the results for carol / kynea b=60, n=1000 to 30000 (60^1717+1)^2-2 (60^3882+1)^2-2 (60^6665-1)^2-2 (60^11307+1)^2-2 (60^11549-1)^2-2 b=62, n=1000 to 30000 (62^1573-1)^2-2 (62^2183+1)^2-2 (62^3818+1)^2-2 (62^8800+1)^2-2 (62^11080-1)^2-2 (62^13352+1)^2-2 (62^17625+1)^2-2

2016-06-18, 13:05	#75
rogue "Mark" Apr 2003 Between here and the 11×577 Posts	(2^661478+1)^2-2 is prime at 398250 digits.