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2016-05-23, 01:12   #56
rogue

"Mark"
Apr 2003
Between here and the

3×31×71 Posts

Quote:
 Originally Posted by Batalov 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).

 2016-05-23, 09:06 #57 lalera     Jul 2003 2·307 Posts 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
2016-05-24, 07:09   #58
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

100110011010002 Posts

Quote:
 Originally Posted by Batalov 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.

 2016-05-25, 00:10 #59 rogue     "Mark" Apr 2003 Between here and the 147138 Posts 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.
 2016-05-26, 06:31 #60 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 23×1,229 Posts 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! ___________________ * (2264^10098+1)^2-2 is prime Last fiddled with by Batalov on 2016-05-29 at 07:28
 2016-05-27, 08:45 #61 lalera     Jul 2003 2·307 Posts hi, here are the results for carol / kynea b=72, n=10000 to 40000 (72^37930-1)^2-2
 2016-05-28, 20:20 #62 lalera     Jul 2003 2·307 Posts hi, here are the results for carol / kynea b=6, n=100000 to 120000 (6^117991-1)^2-2
 2016-05-29, 14:56 #63 lalera     Jul 2003 2×307 Posts 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
 2016-05-29, 19:43 #64 rogue     "Mark" Apr 2003 Between here and the 3·31·71 Posts lalera, did you only find Carol primes in those bases?
2016-05-30, 09:00   #65
lalera

Jul 2003

2·307 Posts

Quote:
 Originally Posted by rogue lalera, did you only find Carol primes in those bases?
yes

 2016-05-30, 09:29 #66 lalera     Jul 2003 2·307 Posts 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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