20210909, 08:18  #474 
Nov 2019
15_{10} Posts 
I found a Leyland PRP with more than 500,000 digits, details later...

20210911, 12:38  #475 
Nov 2019
3×5 Posts 
pfgw64: ((100263^98600)+(98600^100263)) is 3PRP! (7167.1435s+0.0099s)
ecppdj bpsw: ((100263**98600)+(98600**100263)) PROBABLE PRIME (135355 sec) Gabor Levai 
20210911, 12:43  #476  
Sep 2002
Database er0rr
2^{6}×67 Posts 
Quote:
Congrats for such a huge find. Last fiddled with by paulunderwood on 20210911 at 12:46 

20210913, 08:39  #478  
Nov 2019
15_{10} Posts 
Quote:
((100263^98600)+(98600^100263)) is Fermat and Lucas PRP! (37359.5544s+0.0101s) 

20211105, 10:48  #479 
"Norbert"
Jul 2014
Budapest
2×59 Posts 
Another new PRP:
35820^35899+35899^35820, 163489 digits. 
20211106, 02:51  #480 
Sep 2010
Weston, Ontario
233 Posts 
I have now finished testing the Leyland numbers in the interval from L(300999,10) to L(301999,10) and have found therein 12 PRPs. Next interval is L(301999,10)  L(302999,10).

20211109, 12:19  #481 
Nov 2019
3·5 Posts 
A prime number: 100207, a square number: 99856 (=316^2), a PRP: 100207^99856+99856^100207.

20211221, 12:09  #482 
Sep 2010
Weston, Ontario
233 Posts 
In order to occupy a handful of old spare cores, I've been sieving a small number of my "LLPH" [greater than Yusuf AttarBashi's L(81650,54369), less than L(390000,10)] Leyland numbers. The bydigitlength sieved files average 300orso candidates, plusorminus 40. I was curious how fast the candidates would PFGWresolve on a recentlyacquired 2020 iMac, so I took the file for digitlength 390000 and ran it.
I guessed that I had maybe a 1% chance of finding a PRP, but I got lucky: L(95196,12497). 
20211221, 13:34  #483 
Nov 2019
3×5 Posts 
I found a new PRP: 101311^90816+90816^101311 [502317 digit].

20220111, 01:07  #484 
Sep 2010
Weston, Ontario
E9_{16} Posts 
I have now finished testing the Leyland numbers in the interval from L(301999,10) to L(302999,10) and have found therein 10 PRPs. Next interval is L(302999,10)  L(303999,10).

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