Leyland Primes (x^y+y^x primes)

[xilman]

Originally Posted by rogue

Maybe he could give you or someone else update access to the website or maybe it could be moved elsewhere. With Russia building its own internet, who knows how long it will be before that site is not accessible to anyone outside of Russia.

Err...

It's not in Russia.

[rogue]

Originally Posted by xilman

Err...

It's not in Russia.

I assumed that this site, http://www.primefan.ru/xyyxf/default.html, is in Russia.

[xilman]

Originally Posted by rogue

I assumed that this site, http://www.primefan.ru/xyyxf/default.html, is in Russia.

Hmm. AFAIK, Andrey is, or was, in Belarus. I assumed that his site was located there too.

Oh well.

[pxp]

Originally Posted by pxp

That makes L(29356,257) #1403.

I have examined all Leyland numbers in the seven gaps between L(29356,257) <70746>, #1403, and L(30280,241) <72128> and found 12 new primes. That makes L(30280,241) #1422.

[pxp]

Originally Posted by pxp

As I write, there is a captcha timeout error that prevents me from posting my two most recent finds to PRPtop so I will note these with an asterisk in my list, until such a time as the issue is resolved.

The PRP Top submission issue appears to be fixed. I just added 12 Leyland PRPs.

[pxp]

Originally Posted by pxp

That makes L(30280,241) #1422.

I have examined all Leyland numbers in the two gaps between L(30280,241) <72128>, #1422, and L(104824,5) <73269> and found 14 new primes. That makes L(104824,5) #1438.

[NorbSchneider]

Another new PRP:
2223^25780+25780^2223, 86285 digits.

[NorbSchneider]

Another new PRP:
1828^25929+25929^1828, 84580 digits.

[NorbSchneider]

Another new PRP:
15927^18196+18196^15927, 76463 digits.

[NorbSchneider]

Another new PRP:
2551^26056+26056^2551, 88766 digits.

[pxp]

Originally Posted by pxp

That makes L(104824,5) #1438.

I have examined all Leyland numbers in the eight gaps between L(104824,5) <73269>, #1438, and L(30247,300) <74926> and found 24 new primes. That makes L(30247,300) #1470.