Leyland Primes (x^y+y^x primes and PRPs) - Page 59

NorbSchneider · 2023-05-22, 22:02

Another new PRP:
41171^41272+41272^41171, 190454 digits.

lghu · 2023-05-23, 16:52

L(558232,19) index: 11653091556
L(684614,15) index: 14521126145

ryanp · 2023-05-25, 04:01

A new, record Leyland PRP:

Code:

1343238^19+19^1343238

lghu · 2023-05-25, 13:18

Index of L(1343238,19) is 58259818091 (maybe).

pxp · 2023-05-25, 13:55

Quote:

Originally Posted by lghu

Index of L(1343238,19) is 58259818091 (maybe).

Thank you. I did double-check your 41803655301 index for L(300102,59935) and my (Mathematica) program agreed. However, it took ten days, so verification for this new one will be about two weeks.

Cybertronic · 2023-05-25, 19:54

Congratulation Ryan for a new world record LP !
Page got an updated. https://pzktupel.de/Primetables/TableLeyland1.php

lghu · 2023-05-27, 19:24

Quote:

Originally Posted by pxp

I did double-check your index for.

Thanks for checking. It is reassuring that the program calculated well, which can work in two ways: it performs a quick but sometimes erroneous estimate or a more accurate calculation that takes longer. The more detailed results were:

The estimates are:
LI(300102,59935) ~ 41803655301+0, time: 1 sec
LI(1343238,19) ~ 58259818092-2, time: 1 sec [It differs by 1]

LI(300102,59935) = 41803655301, time: 12811 sec
LI(1343238,19) = 58259818091, time: 18324 sec

2023-05-25, 04:01	#641
ryanp Jun 2012 Boulder, CO 5·7·13 Posts	A new, record Leyland PRP: Code: 1343238^19+19^1343238

2023-05-25, 19:54	#644
Cybertronic Jan 2007 Germany 1010100101₂ Posts	Congratulation Ryan for a new world record LP ! Page got an updated. https://pzktupel.de/Primetables/TableLeyland1.php Last fiddled with by Cybertronic on 2023-05-25 at 19:57

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Leyland Primes	storm5510	storm5510	6	2022-07-04 14:32
Leyland Primes: ECPP proofs	Batalov	XYYXF Project	57	2022-06-30 17:24
Patterns in primes that are primitive roots / Gaps in full-reptend primes	mart_r	Prime Gap Searches	14	2020-06-30 12:42
On Leyland Primes	davar55	Puzzles	9	2016-03-15 20:55
possible primes (real primes & poss.prime products)	troels munkner	Miscellaneous Math	4	2006-06-02 08:35

2023-05-22, 22:02	#639
NorbSchneider "Norbert" Jul 2014 Budapest 1111111₂ Posts	Another new PRP: 41171^41272+41272^41171, 190454 digits.

2023-05-23, 16:52	#640
lghu Nov 2019 29₁₀ Posts	L(558232,19) index: 11653091556 L(684614,15) index: 14521126145

2023-05-25, 13:18	#642
lghu Nov 2019 29 Posts	Index of L(1343238,19) is 58259818091 (maybe).