M8134597 Mersenne number exponent details

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M8134597

<<<

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is 2 ^8134597 - 1

has 2448758 decimal digits

takes 2.124 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	7.3273	66.1765%	-	-	-	-	7.3273	66.1765%	0.0000%
PrimeNet	2⁶³	0.1962	63.4921%	36000	900000	0.0315	3.6153%	0.2277	64.8119%	1.3199%
GPU72	2⁶⁷	3.6528	65.6716%	55000	1300000	0.0465	2.6231%	3.6993	66.5721%	0.9005%
Difference	+1	+3.6745	+0.5048%	-55000	-1300000	-0.0465	-2.6231%	+3.6280	-0.3956%	-0.3956%

Known prime factors (1 factor, 61.7 bits, 0.00075859% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
8134597	3767051601815719577	19	61.708	231545066204 2² × 17 × 31 × 109841113	1998-09-06	31	109841113	0.0641	2.2658	4.2318

P-1 results:
No P-1 results for M8134597

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-09-06T00:00:00	ANONYMOUS	v4_computers	?	?	3767051601815719577	61.708	19	0.026	4.443	0.055
2022-04-23T08:22:29	Flaukrotist	Manual testing	2⁶⁷	2⁶⁸		-	-	3.675	-	-

ECM factoring results:
No ECM results for M8134597

Lucas-Lehmer results:
No L-L results for M8134597

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-08-23T16:21:27

Oliver Kruse

GTX-7

3767051601815719577

25DBC30C68CFAE__

2020-02-16T09:17:24

oodaira

com1

3767051601815719577

25DBC30C68CFAE8F

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-04-23T08:22:29+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront