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-   -   Leyland Primes (x^y+y^x primes) (https://www.mersenneforum.org/showthread.php?t=19347)

pxp 2016-09-04 16:30

[URL="http://factordb.com/index.php?id=1100000000855034913"]L(17458,7153)[/URL]
[URL="http://factordb.com/index.php?id=1100000000855998846"]L(15852,6061)[/URL]
[URL="http://factordb.com/index.php?id=1100000000856099082"]L(18407,4474)[/URL]
[URL="http://factordb.com/index.php?id=1100000000860276661"]L(18738,3955)[/URL]

NorbSchneider 2016-09-25 20:12

I reached x=25,000 and found 2 new PRPs:
452^24729+24729^452, 65659 digits,
695^24772+24772^695, 70402 digits.

NorbSchneider 2016-10-25 20:49

I reached x=26,000 and found 1 new PRP:
771^25718+25718^771, 74250 digits.

xilman 2016-10-26 17:39

[QUOTE=NorbSchneider;445768]I reached x=26,000 and found 1 new PRP:
771^25718+25718^771, 74250 digits.[/QUOTE]Well done!

NorbSchneider 2016-12-05 17:28

I reached x=27,000 and found 1 new PRP:
730^26513+26513^730, 75916 digits.

NorbSchneider 2016-12-28 22:33

I reached x=27,500 and found 2 new PRPs:
713^27118+27118^713, 77371 digits,
565^27318+27318^565, 75181 digits.

pxp 2016-12-29 16:36

After a small hiatus, on December 10 I started again to look for Leyland primes. I have now finished with the Leyland numbers in the gap between L(19021,1576) <60821 digits> and L(29007,128) <61124 digits> and have found therein 6 new PRPs:

L(14708,13707) <60847>
L(15088,10831) <60876>
L(14858,12651) <60950>
L(16069,6258) <61005>
L(14788,13355) <61011>
L(16697,4570) <61110>

XYYXF 2017-01-04 15:04

Thanks for them. The page is updated: [url]http://www.primefan.ru/xyyxf/primes.html#0[/url]

pxp 2017-01-23 18:44

I have now finished with the Leyland numbers in the two gaps between L(19909,1456) <62976 digits> and L(19546,1741) <63345 digits> and have found therein 5 new PRPs:

L(17549,3936) <63090>
L(15346,12941) <63103>
L(15103,15078) <63106>
L(16976,5253) <63158>
L(16458,7031) <63315>

pxp 2017-02-17 11:55

I have now finished with the Leyland numbers in the two gaps between L(19732,1265) <61211 digits> and L(18879,1850) <61681 digits> and have found therein 6 new PRPs:

L(17567,3094) <61318>
L(14837,13810) <61429>
L(14821,14166) <61526>
L(15369,10226) <61626>
L(18185,2454) <61645>
L(15937,7408) <61672>

pxp 2017-03-15 18:43

I have now finished with the Leyland numbers in the two gaps between L(25742,291) <63426 digits> and L(26336,267) <63905 digits> and have found therein 7 new PRPs:

L(17683,3882) <63466>
L(15852,10157) <63516>
L(16996,5483) <63549>
L(19085,2164) <63654>
L(18855,2402) <63741>
L(18468,2857) <63824>
L(15441,13706) <63879>


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