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

NorbSchneider 2014-08-02 22:31

I search now in the interval
20,001<=x<=40,000, 201<=y<=400.

I reached x=21,000 and found two new PRPs:
283^20956+20956^283, 51380 digits,
359^20992+20992^359, 53637 digits.

rogue 2014-08-03 13:16

Two more PRPs:

2869^11736+11736^2869
3834^11473+11473^3834

Double-checking is now complete for y <= 5000 and x <= 12500 and 10000 < y <= 125000 and x <= 12500. I'm still working on 5000 < y <= 10000 and x <= 12500.

rogue 2014-08-07 00:50

[QUOTE=rogue;379608]Two more PRPs:

2869^11736+11736^2869
3834^11473+11473^3834

Double-checking is now complete for y <= 5000 and x <= 12500 and 10000 < y <= 125000 and x <= 12500. I'm still working on 5000 < y <= 10000 and x <= 12500.[/QUOTE]

Verified list for y <= 7000 and x <= 12500.

I'm going on vacation for 17 days starting tomorrow. This will complete while I'm gone so expect an update when I return.

NorbSchneider 2014-08-09 19:28

I reached x=22,000 and found one new PRP:
387^21694+21694^387, 56138 digits.

XYYXF 2014-08-13 13:28

The page is finally updated: [url]http://xyyxf.at.tut.by/primes.html#0[/url]

Please check if it's correct.

rogue 2014-08-28 01:56

The double-check has been completed for all x and y <= 12500. Nothing new to report.

NorbSchneider 2014-08-28 06:30

I reached x=24,000 and found one new PRP:
247^23412+23412^247, 56018 digits.

NorbSchneider 2014-09-21 18:48

I reached x=26,000 and found one new PRP:
291^25742+25742^291, 63426 digits.

NorbSchneider 2014-10-05 00:33

I reached x=27,000 and found one new PRP:
267^26336+26336^267, 63905 digits.

NorbSchneider 2014-11-01 07:59

I reached x=30,000 and found one new PRP:
257^29356+29356^257, 70746 digits.

firejuggler 2014-11-04 23:13

reserving x=2501=> 3000 and y=12501=>15000
already found one
2696^14313+14313^2696 is a 3-PRP (49104 digits)


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