[QUOTE=NorbSchneider;450570]I found 2 PRPs on prptop, discovered by Serge Batalov.
42^18385-18385^42
41^23690-23690^41
Serge have you found any other new y^x-x^y PRPs?
[/QUOTE]
No, just these tiny ones.

I found the following new PRPs from x=12651, to x=12800
[CODE]
7760^12677-12677^7760
751^12690-12690^751
5552^12691-12691^5552
12240^12709-12709^12240
1173^12728-12728^1173
2183^12732-12732^2183
8993^12732-12732^8993
11832^12763-12763^11832
5146^12777-12777^5146
9178^12777-12777^9178
444^12791-12791^444
7192^12795-12795^7192
5970^12797-12797^5970
[/CODE]

Other PRPs
[CODE]
920^13221-13221^920
1126^13257-13257^1126
170^13451-13451^170
190^13743-13743^190
200^13401-13401^200
266^13777-13777^266
369^13730-13730^369
466^13527-13527^466
495^13688-13688^495
500^13689-13689^500
774^13691-13691^774
899^13632-13632^899
1062^13447-13447^1062
356^13985-13985^356
470^14023-14023^470
522^14159-14159^522
665^14072-14072^665
1068^13955-13955^1068
38^56123-56123^38
39^67918-67918^39
3^114892-114892^3
[/CODE]

The [URL="http://primfakt.atw.hu/"]y^x-x^y PRPs page[/URL] is updated, the new PRPs are on the page now.

I searched the range x = 15001-20000, y = 41-100 and found the following PRP's:


[CODE]42^18385-1*18385^42
98^15061-1*15061^98
49^15740-1*15740^49
70^15219-1*15219^70
76^18735-1*18735^76[/CODE]


Reserving the range x = 70001-100000, y = 11-20.

[QUOTE=Dylan14;523166]Reserving the range x = 70001-100000, y = 11-20.[/QUOTE]


This range is complete. Only the following was found:


[CODE]18^92125-1*92125^18[/CODE]


With 115642 digits, this should handily enter the PRPtop.

Dylan, congratulations to your new PRP!
18^92125-92125^18 with 115642 digits is the 12th biggest known y^x-x^y PRP.
What is your next range to search?

[QUOTE=NorbSchneider;524572]Dylan, congratulations to your new PRP!
18^92125-92125^18 with 115642 digits is the 12th biggest known y^x-x^y PRP.
What is your next range to search?[/QUOTE]


I'll take x = 70001-100000, y = 21-30 next.

[QUOTE=Dylan14;524758]I'll take x = 70001-100000, y = 21-30 next.[/QUOTE]

This range is complete. The following PRP's were found:

[CODE]24^78283-78283^24
29^80192-80192^29
[/CODE]
Taking x=140001-500000, y = 2-10.

This page, [url]http://primfakt.atw.hu[/url], is not being updated with ranges that have been reserved and tested. That makes is harder for anyone who wants to participate.