y^x-x^y primes - Page 4

Batalov · 2017-01-06, 17:11

Quote:

Originally Posted by NorbSchneider

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?

No, just these tiny ones.

NorbSchneider · 2017-03-22, 21:53

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

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

The y^x-x^y PRPs page is updated, the new PRPs are on the page now.

Dylan14 · 2019-08-05, 18:38

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

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

Dylan14 · 2019-08-18, 01:05

Quote:

Originally Posted by Dylan14

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

This range is complete. Only the following was found:

Code:

18^92125-1*92125^18

With 115642 digits, this should handily enter the PRPtop.

NorbSchneider · 2019-08-26, 08:50

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?

Dylan14 · 2019-08-28, 21:15

Quote:

Originally Posted by NorbSchneider

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?

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

Dylan14 · 2019-12-01, 23:28

Quote:

Originally Posted by Dylan14

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

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

Code:

24^78283-78283^24
29^80192-80192^29

Taking x=140001-500000, y = 2-10.

rogue · 2020-06-22, 22:20

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

2019-08-05, 18:38	#36
Dylan14 "Dylan" Mar 2017 3×193 Posts	I searched the range x = 15001-20000, y = 41-100 and found the following PRP's: Code: 42^18385-118385^42 98^15061-115061^98 49^15740-115740^49 70^15219-115219^70 76^18735-1*18735^76 Reserving the range x = 70001-100000, y = 11-20.

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2019-08-26, 08:50	#38
NorbSchneider "Norbert" Jul 2014 Budapest 1101101₂ Posts	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?

2020-06-22, 22:20	#41
rogue "Mark" Apr 2003 Between here and the 11×577 Posts	This page, http://primfakt.atw.hu, is not being updated with ranges that have been reserved and tested. That makes is harder for anyone who wants to participate.