20230610, 02:36  #56  
Sep 2010
Weston, Ontario
3^{2}·29 Posts 
Quote:


20230611, 02:05  #57 
Dec 2022
2·3·7·13 Posts 
Thanks for the clarification. We'll have to see where you want to go with this.
As for primality proof, does anyone have the ability to automatically update a list whenever factordb changes a number from PRP to P? That would seem to be the main obstacle to using them for the purpose. 
20230612, 10:38  #58 
Sep 2010
Weston, Ontario
261_{10} Posts 
Conjectures
In 2018 I concocted this conjecture for the Leylandplus numbers: For d > 11, 10^(d1)+(d1)^10 is the smallest (base ten) ddigit term. There are no known primes. Today I noted this similar conjecture for the Leylandminus numbers: For d > 11, 10^dd^10 is the largest (base ten) ddigit term. There are two known primes: d = 273 and 399.

20230628, 20:44  #59 
"Norman Luhn"
Jan 2007
Germany
2×389 Posts 
Update
I have automatically matched all the Leyland numbers I know with factordb.com. Status PRP or Prime is now entered.
https://pzktupel.de/Primetables/TableLeyland2.php regards 
20230628, 21:53  #60  
Sep 2010
Weston, Ontario
3^{2}×29 Posts 
Quote:


20230628, 23:21  #61 
Dec 2022
2·3·7·13 Posts 
I guess my last query is answered in the affirmative  good work. And I see mathwiz has already asked in the other Leyland thread if they would automatically update.
pxp's conjecture (how far has it been verified?) is likely true for high enough d, as d^10/10^d > 0 quickly there. 
20230701, 08:42  #62 
"Florian"
Oct 2021
Germany
7·31 Posts 
I am currently proving PRPs below 10k digits and uploading certificates.
I am also the "culprit" behind the proven primes at around 10k digits. Didn't occur to me to post about it... ooops I'm gonna post updates from time to time on my progress. Last fiddled with by Luminescence on 20230701 at 08:44 
20230701, 09:06  #63  
"Norman Luhn"
Jan 2007
Germany
1412_{8} Posts 
Quote:
171^26002600^171 117^27522752^117 37^37043704^37 now proven prime. Page was updated Last fiddled with by Cybertronic on 20230701 at 09:08 

20230706, 08:29  #64 
"Norman Luhn"
Jan 2007
Germany
778_{10} Posts 
Update
txtfile have now status....
3 new P's found at factordb https://pzktupel.de/Primetables/TableLeyland2.php same for Leyland x^y+y^x https://pzktupel.de/Primetables/TableLeyland1.php Last fiddled with by Cybertronic on 20230706 at 08:30 
20230709, 10:59  #65 
"Norman Luhn"
Jan 2007
Germany
1100001010_{2} Posts 
Update
up to date status: PRP / Prime now displayed

20230922, 02:27  #66  
Sep 2010
Weston, Ontario
405_{8} Posts 
Quote:


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