M136172633 Mersenne number exponent details

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M136172633

<<<

is 2 ^136172633 - 1

has 40992048 decimal digits

takes 758.406 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	0.4377	58.8235%	-	-	-	-	0.4377	58.8235%	0.0000%
PrimeNet	2⁷³	14.0472	61.6438%	550000	28000000	16.5193	5.4109%	30.5665	63.7193%	2.0754%
GPU72	2⁷⁷	224.7747	63.6364%	900000	32000000	20.9517	4.0548%	245.7264	65.1108%	1.4745%
Difference	-9	-224.3370	-4.8128%	-900000	-32000000	-20.9517	-4.0548%	-245.2887	-6.2873%	-6.2873%

Known prime factors (2 factors, 132.6 bits, 0.00009734% 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
136172633	39696803986854872617	20	65.106	145759111476 2² × 3 × 11² × 79 × 1039 × 1223	2012-11-07	1039	1223	0.0661	0.0085	0.0171
136172633	200948139209444525513	21	67.445	737843334532 2² × 263 × 701371991	2022-08-05	263	701371991	0.3205	308.60	576.37

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
136172633	39696803986854872617 200948139209444525513	7976998893720545390877595247459621577521	40	132.551

P-1 results:
No P-1 results for M136172633

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-11-07T16:44:00	Arne Kleppestrand	Ragnhild	?	?	39696803986854872617	65.106	20	0.013	1,558	0.026
2010-06-09T12:29:00	Donna Noble	PH2-940-v3-MVB	2⁶³	2⁶⁴		-	-	0.014	-	-
2010-11-27T09:53:00	sasaki3	mate_ma2	2⁶⁴	2⁶⁵		-	-	0.027	-	-
2022-08-05T09:34:01	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200948139209444525513	67.445	21	0.102	1,558	0.210
2022-08-10T19:29:33	LordJulius	Manual testing	2¹	2⁶⁸	200948139209444525513	67.445	21	0.320	1,558	0.658
2022-08-10T19:29:33	LordJulius	Manual testing	2¹	2⁶⁸	39696803986854872617	65.106	20	0.066	1,558	0.136

ECM factoring results:
No ECM results for M136172633

Lucas-Lehmer results:
No L-L results for M136172633

PRP results:
No PRP results for M136172633

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

10¹

10²

10³

10⁴

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:33+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