20140512, 21:07  #1 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}×1,201 Posts 
Leyland Primes: ECPP proofs
Placeholder for x^{y}+y^{x} 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 20150202 at 15:03 Reason: added an URL to the list of primes and PRPs 
20140512, 21:17  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}×1,201 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? 
20140513, 08:01  #3 
Jan 2005
Minsk, Belarus
2^{4}×5^{2} 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 
20140513, 10:00  #4  
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{4}×7×53 Posts 
Quote:


20150120, 22:40  #5 
Sep 2008
Kansas
2·7·13·19 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 
20150124, 14:31  #6 
Sep 2008
Kansas
3458_{10} Posts 

20150202, 15:10  #7 
Jan 2005
Minsk, Belarus
2^{4}×5^{2} Posts 
Thanks for the proofs :)

20150604, 09:50  #8 
Sep 2008
Kansas
3458_{10} Posts 
A few more Primo proofs:
2613^2348+2348^2613 2665^1702+1702^2665 2685^1904+1904^2685 2696^2451+2451^2696 
20160108, 04:12  #9 
Sep 2008
Kansas
2·7·13·19 Posts 
A few more Primo proofs:
2596^1867+1867^2596 2622^2129+2129^2622 2625^1094+1094^2625 2680^2053+2053^2680 2722^2445+2445^2722 2759^2200+2200^2759 
20160108, 17:02  #10 
Aug 2006
3×1,993 Posts 

20160110, 20:27  #11 
Jan 2005
Minsk, Belarus
190_{16} Posts 

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