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Old 2016-05-23, 01:12   #56
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Quote:
Originally Posted by Batalov View Post
And now, a Kynea prime for b=30, to make a nice pair.
(30157950 + 1)2 - 2 is prime
, I mean .

You're getting ahead of me with bases that don't require as many tests to find a Top 5000 prime.

I have not put together a webpage yet as I've been busy with outdoor stuff. The weather this past weekend was fantastic here. I hope to get something in place by Memorial Day (next week Monday for those non-Americans out there).
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Old 2016-05-23, 09:06   #57
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hi,
here are the results for carol / kynea
b=28, n=1000 to 30000
(28^2520-1)^2-2
(28^5048+1)^2-2
(28^6492-1)^2-2
(28^6577-1)^2-2
(28^22960-1)^2-2
(28^24990+1)^2-2
(28^25528-1)^2-2
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Old 2016-05-24, 07:09   #58
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Quote:
Originally Posted by Batalov View Post
For b<=2000, only b=640 and b=1656 remain without known primes.
For b<=3000, in addition to b=640 (up to n<=40K) and b=1656 (up to n<=35K), there are three more b = {2264, 2482, 2634} that remain without known C-K primes (up to n<=5100).

For b=2026, the smallest prime is (2026^5526+1)^2-2, the rest have a prime under n<=1000.
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Old 2016-05-25, 00:10   #59
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I'm starting to put together a website for this search. Take a look at http://www.mersenneforum.org/rogue/ckps.html and give me some feedback.
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Old 2016-05-26, 06:31   #60
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Phi(4,2^7658614+1)/2

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Update:
For b<=3000, there are four three cases: b=1656 (up to n<=45K) and b = {2264,[COLOR=Blue]*[/COLOR] 2482, 2634} that remain without known C-K primes (up to n<=8000).

However, for b=640, (640^44940+1)^2-2 is prime (252220 digits),
so all b<1656 have at least one known C-K prime!
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* (2264^10098+1)^2-2 is prime

Last fiddled with by Batalov on 2016-05-29 at 07:28
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Old 2016-05-27, 08:45   #61
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hi,
here are the results for carol / kynea
b=72, n=10000 to 40000
(72^37930-1)^2-2
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Old 2016-05-28, 20:20   #62
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hi,
here are the results for carol / kynea
b=6, n=100000 to 120000
(6^117991-1)^2-2
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Old 2016-05-29, 14:56   #63
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hi,
here are the results for carol / kynea
b=70, n=10000 to 40000
(70^10744-1)^2-2
(70^11260-1)^2-2
(70^19370-1)^2-2
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Old 2016-05-29, 19:43   #64
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lalera, did you only find Carol primes in those bases?
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Old 2016-05-30, 09:00   #65
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Quote:
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lalera, did you only find Carol primes in those bases?
yes
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Old 2016-05-30, 09:29   #66
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hi,
here are the results for carol / kynea
b=76, n=1000 to 40000
(76^2306+1)^2-2
(76^3081-1)^2-2
(76^35617-1)^2-2
(76^36090-1)^2-2
b=78, n=1000 to 40000
(78^6429-1)^2-2
(78^6853+1)^2-2
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