mersenneforum.org Leyland Primes: ECPP proofs
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 2014-05-12, 21:07 #1 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 22×5×503 Posts Leyland Primes: ECPP proofs Placeholder for xy+yx prime proofs. http://www.primefan.ru/xyyxf/primes.html#0 There are some PRPs available starting from ~6600 digit size. Contact XYYXF to reserve. Last fiddled with by XYYXF on 2015-02-02 at 15:03 Reason: added an URL to the list of primes and PRPs
 2014-05-12, 21:17 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 22·5·503 Posts There are a few existing reservations that make one very curious: 222748^3+3^222748 (a 106278 decimal digits PRP by Anatoly Selevich) is reserved by Jens Franke. Is it that the low value of y=3 makes for a very special case for a ECPP proof?
 2014-05-13, 08:01 #3 XYYXF     Jan 2005 Minsk, Belarus 40010 Posts AFAIK, they're going to make a CIDE proof, as it was done for 8656^2929+2929^8656: http://www.mersenneforum.org/showthread.php?t=17554
2014-05-13, 10:00   #4
henryzz
Just call me Henry

"David"
Sep 2007
Liverpool (GMT/BST)

178F16 Posts

Quote:
 Originally Posted by XYYXF AFAIK, they're going to make a CIDE proof, as it was done for 8656^2929+2929^8656: http://www.mersenneforum.org/showthread.php?t=17554
Does anyone know whether this method has been peer reviewed/checked over yet? Is there an available implementation of this algorithm?

 2015-01-20, 22:40 #5 RichD     Sep 2008 Kansas 34×47 Posts PRP Now Proven Prime I completed several Primo proofs: 2284^1985+1985^2284 2305^1374+1374^2305 2317^1354+1354^2317 2328^923+923^2328 2343^962+962^2343 2383^1710+1710^2383 Two more will be completed this week. 2349^1772+1772^2349 2408^975+975^2408
2015-01-24, 14:31   #6
RichD

Sep 2008
Kansas

73378 Posts

Quote:
 Originally Posted by RichD Two more will be completed this week. 2349^1772+1772^2349 2408^975+975^2408
All done.

 2015-02-02, 15:10 #7 XYYXF     Jan 2005 Minsk, Belarus 24·52 Posts Thanks for the proofs :)
 2015-06-04, 09:50 #8 RichD     Sep 2008 Kansas 34×47 Posts A few more Primo proofs: 2613^2348+2348^2613 2665^1702+1702^2665 2685^1904+1904^2685 2696^2451+2451^2696
 2016-01-08, 04:12 #9 RichD     Sep 2008 Kansas 34×47 Posts
2016-01-08, 17:02   #10
CRGreathouse

Aug 2006

5,987 Posts

Quote:
 Originally Posted by henryzz Does anyone know whether this method has been peer reviewed/checked over yet? Is there an available implementation of this algorithm?
I wonder these things myself (many months later).

 2016-01-10, 20:27 #11 XYYXF     Jan 2005 Minsk, Belarus 24×52 Posts Thanks for the proofs :-) The page is updated: http://www.primefan.ru/xyyxf/primes.html#0

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