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Old 2016-05-30, 23:19   #67
rogue
 
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(2^621443+1)^2-2 is prime! At 374176 digits, it is a about 14,000 digits short of the Top 5000.
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Old 2016-05-31, 01:13   #68
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Arrgh!
Still a very decent number!
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Old 2016-05-31, 02:49   #69
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Quote:
Originally Posted by rogue View Post
(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.
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Old 2016-06-01, 01:51   #70
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Phi(4,2^7658614+1)/2

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(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
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Old 2016-06-03, 14:03   #71
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Quote:
Originally Posted by rogue View Post
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.

Last fiddled with by a1call on 2016-06-03 at 14:04
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Old 2016-06-06, 15:40   #72
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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
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Old 2016-06-14, 21:17   #73
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(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
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Old 2016-06-14, 21:40   #74
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Quote:
Originally Posted by rogue View Post
(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
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Old 2016-06-18, 13:05   #75
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(2^661478+1)^2-2 is prime at 398250 digits.
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Old 2016-06-18, 14:39   #76
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Quote:
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(2^661478+1)^2-2 is prime at 398250 digits.
Congrats again
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Old 2016-06-28, 05:29   #77
wombatman
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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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