M72162119 Mersenne number exponent details

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M72162119

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is 2 ^72162119 - 1

has 21722963 decimal digits

takes 192.933 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	2⁶⁷	0.4118	59.7015%	-	-	-	-	0.4118	59.7015%	0.0000%
PrimeNet	2⁷⁰	3.3113	61.4286%	300000	14000000	4.0567	5.4869%	7.3680	63.5449%	2.1164%
GPU72	2⁷⁴	53.0176	63.5135%	500000	17000000	5.4234	4.1187%	58.4411	65.0163%	1.5028%
Difference	-7	-52.6059	-3.8120%	-500000	-17000000	-5.4234	-4.1187%	-58.0293	-5.3148%	-5.3148%

Known prime factors (2 factors, 95.5 bits, 0.00013233% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
72162119	10968642089	11	33.353	76 2² × 19	-	4	19	1.612e-11	1.868e-5	3.156e-5
72162119	5092088671800721769	19	62.143	35282283436 2² × 37 × 59 × 4040573	2016-07-01	59	4040573	0.0206	0.8536	1.5940

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
72162119	10968642089 5092088671800721769	55853298126433504216031935441	29	95.496

P-1 results:
No P-1 results for M72162119

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-07-01T11:44:03	TJAOI	Manual testing	2⁶²	2⁶³*	5092088671800721769	62.143	19	0.012	396.4	0.025

ECM factoring results:
No ECM results for M72162119

Lucas-Lehmer results:
No L-L results for M72162119

PRP results:
No PRP results for M72162119

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

TF factor-bounds graph:

2⁶⁷

2⁶³

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-07-01T11:44:03+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