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

NorbSchneider 2014-11-08 13:52

I reached x=31,000 and found two new PRPs:
300^30247+30247^300, 74926 digits,
241^30280+30280^241, 72128 digits.

firejuggler 2014-11-14 17:45

range x=2500->3000 and y=12500->15000 done, 6 primes found

2696^14313+14313^2696 (already reported earlier)
2844^13855+13855^2844
2858^14763+14763^2858
2880^12617+12617^2880
2950^13563+13563^2950
2975^12664+12664^2975

Edit : those are PRP, not prime.

paulunderwood 2014-11-14 17:47

[QUOTE=firejuggler;387631]range x=2500->3000 and y=12500->15000 done, 6 primes found

2696^14313+14313^2696 (already reported earlier)
2844^13855+13855^2844
2858^14763+14763^2858
2880^12617+12617^2880
2950^13563+13563^2950
2975^12664+12664^2975[/QUOTE]

PRPs only?

firejuggler 2014-11-14 17:54

yes, my bad, PRP only.

Batalov 2014-11-14 17:55

Of course. None of us has access to CIDE, and even with CIDE the current record is 30,008 digit size.

XYYXF 2014-11-14 21:30

[QUOTE=firejuggler;387631]range x=2500->3000 and y=12500->15000 done, 6 primes found [/QUOTE]Thanks a lot :-)

Now it would be nice to fill the gap 2000 < x <= 2500 for 12500 < y <= 15000 :-)

firejuggler 2014-11-14 23:32

I was pretty sure It was already reserved. If no one volonteer before I come back from my trip ( mid december) ten i'll do it.

XYYXF 2014-12-02 00:49

[QUOTE=firejuggler;387667]I was pretty sure It was already reserved. If no one volonteer before I come back from my trip ( mid december) ten i'll do it.[/QUOTE]Thanks a lot. BTW, could you please specify your name to put it there?
[url]http://xyyxf.at.tut.by/primes.html#0[/url]

XYYXF 2014-12-02 00:56

[QUOTE=fivemack;373604]I am running Y=18, should make it to 300k by the end of the month unless I've screwed up my calculations somewhere.[/QUOTE]Meanwhile I got y=18 for 300k < x < 500k:
[url]http://www.primefan.ru/stuff/primes/xyyx/18.txt[/url]

NorbSchneider 2014-12-02 06:04

I reached x=32,800 and found one new PRP:
329^32160+32160^329, 80954 digits.

I search now also in the for my reserved interval
40,001<=x<=50,000, 19<=y<=400 and found three new PRPs:
47^40182+40182^47, 67189 digits,
287^40210+40210^287, 98832 digits,
114^40495+40495^114, 83295 digits.

NorbSchneider 2014-12-15 05:09

I reached x=41,000 and found two new PRPs:
91^40746+40746^91, 79824 digits,
328^40945+40945^328, 103013 digits


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