M72162037 Mersenne number exponent details

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M72162037

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is 2 ^72162037 - 1

has 21722938 decimal digits

takes 192.933 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

1 primality tests remaining

	Residue	Status
L-L	F1640D501FE562__	needs double-check
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	2⁷⁵	106.0379	64.0000%	665000	13965000	5.3872	3.7300%	111.4251	65.3428%	1.3428%
PrimeNet	2⁷⁰	3.3113	61.4286%	300000	14000000	4.0567	5.4869%	7.3680	63.5449%	2.1164%
GPU72	2⁷⁴	53.0177	63.5135%	500000	17000000	5.4234	4.1187%	58.4411	65.0163%	1.5028%
Difference	+1	+53.0202	+0.4865%	+165000	-3035000	-0.0362	-0.3887%	+52.9839	+0.3265%	+0.3265%

Known prime factors:
No known factors for M72162037

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-02-17T14:51:00	apocalypse	capn-slick	665000	13965000		-		-	-	5.387	-	-	3.730%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-19T10:45:00	Wojciech Florek	Manual testing	2¹	2⁶⁴		-	-	0.049	-	-
2010-05-08T14:58:00	w00dy	i5	2⁶⁴	2⁶⁵		-	-	0.052	-	-
2010-05-10T12:01:00	w00dy	i5	2⁶⁵	2⁶⁶		-	-	0.104	-	-
2010-07-19T07:40:00	TRUSTNO1	dimension	2⁶⁶	2⁶⁷		-	-	0.207	-	-
2010-07-20T09:54:00	TeraTism	S	2⁶⁷	2⁶⁸		-	-	0.414	-	-
2010-09-22T20:28:00	Allan Manangan	Kuro	2⁶⁸	2⁶⁹		-	-	0.828	-	-
2012-09-29T16:25:00	Bold_Seeker	Manual testing	2⁶⁹	2⁷⁰		-	-	1.657	-	-
2012-12-02T21:24:00	ANONYMOUS		2⁷⁰	2⁷¹		-	-	3.314	-	-
2014-08-20T21:39:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	6.628	-	-
2014-08-20T21:39:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	13.26	-	-
2014-08-20T21:39:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	26.51	-	-
2016-06-18T20:37:35	ANONYMOUS	Manual testing	2⁷⁴	2⁷⁵		-	-	53.02	-	-

ECM factoring results:
No ECM results for M72162037

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2017-01-17T19:12:19	Chun sung soo	ye-in_Seo	F1640D501FE562__	192.9

PRP results:
No PRP results for M72162037

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

B1 = 665000, B2 = 13965000 (P-1 stage 2)

B1 = 665000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-01-17T19:12:19+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