M107023859 Mersenne number exponent details

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M107023859

<<<

is 2 ^107023859 - 1

has 32217392 decimal digits

takes 438.946 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	2⁷²	8.9357	62.5000%	-	-	-	-	8.9357	62.5000%	0.0000%
PrimeNet	2⁷²	8.9357	62.5000%	450000	22000000	9.6586	5.4082%	18.5943	64.5281%	2.0281%
GPU72	2⁷⁶	142.9961	64.4737%	700000	24000000	11.7123	3.9749%	154.7084	65.8858%	1.4121%
Difference	-4	-134.0604	-1.9737%	-700000	-24000000	-11.7123	-3.9749%	-145.7727	-3.3858%	-3.3858%

Known prime factors (1 factor, 72.7 bits, 0.00006797% 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
107023859	7914603894700362528527	22	72.745	36975885417757 11 × 13 × 31 × 8341052429	2020-03-06	31	8341052429	9.936	2,702.6	5,047.7

P-1 results:
No P-1 results for M107023859

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-27T11:34:00	Richard	UNKNOWN	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-07T12:49:00	Richard	FX5000_1	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-17T14:24:00	carlos56	amd600	2⁶⁵	2⁶⁶		-	-	0.070	-	-
2014-07-01T10:49:00	JMGarcia	fjcanizares	2⁶⁶	2⁶⁷		-	-	0.140	-	-
2014-07-04T08:23:00	MarekB	K161	2⁶⁷	2⁶⁸		-	-	0.279	-	-
2015-04-29T17:45:00	Judge Hale	Manual testing	2⁶⁸	2⁶⁹		-	-	0.559	-	-
2015-04-29T17:45:00	Judge Hale	Manual testing	2⁶⁹	2⁷⁰		-	-	1.117	-	-
2015-07-20T13:28:00	Ilya Alexandrov	Manual testing	2⁷⁰	2⁷¹		-	-	2.234	-	-
2015-07-20T13:28:00	Ilya Alexandrov	Manual testing	2⁷¹	2⁷²		-	-	4.469	-	-
2020-03-06T11:45:20	srow7	Manual testing	2⁷²	2⁷³*	7914603894700362528527	72.745	22	1.000	893.4	2.036

ECM factoring results:
No ECM results for M107023859

Lucas-Lehmer results:
No L-L results for M107023859

PRP results:
No PRP results for M107023859

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

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-03-06T11:45:20+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