M85758623 Mersenne number exponent details

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M85758623

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is 2 ^85758623 - 1

has 25815918 decimal digits

takes 276.214 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	CA147F8D167E35__	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	2⁷⁶	178.4543	64.4737%	690000	13627500	6.5143	3.4551%	184.9686	65.7011%	1.2275%
PrimeNet	2⁷¹	5.5747	61.9718%	360000	17000000	5.9153	5.3869%	11.4900	64.0204%	2.0485%
GPU72	2⁷⁵	89.2261	64.0000%	550000	19000000	7.2631	3.9485%	96.4893	65.4214%	1.4214%
Difference	+1	+89.2282	+0.4737%	+140000	-5372500	-0.7488	-0.4934%	+88.4794	+0.2797%	+0.2797%

Known prime factors:
No known factors for M85758623

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-04T23:21:59	kha1	obxh1	690000	13627500	12	-		-	-	6.514	-	-	3.455%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-28T13:20:00	Architects Cubed	m1_77	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-02-26T10:45:00	JMGarcia	marobles	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-06-17T17:10:00	PED	Manual testing	2⁶⁶	2⁶⁷		-	-	0.174	-	-
2013-08-16T06:57:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.349	-	-
2013-08-19T12:41:00	Koekie	PC0927	2⁶⁸	2⁶⁹		-	-	0.697	-	-
2013-08-20T23:35:00	GrunwalderGIMP	compute-head	2⁶⁹	2⁷⁰		-	-	1.394	-	-
2014-11-29T15:20:00	PascalBieri	Manual testing	2⁷⁰	2⁷¹		-	-	2.788	-	-
2017-03-08T18:55:17	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	5.577	-	-
2017-03-08T18:55:17	Judge Hale	Manual testing	2⁷²	2⁷³		-	-	11.15	-	-
2017-05-07T18:55:54	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.31	-	-
2017-10-08T15:59:10	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	44.61	-	-
2017-10-08T15:59:10	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.23	-	-

ECM factoring results:
No ECM results for M85758623

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2019-03-10T22:34:04	aurashift	usslcburnin02	CA147F8D167E35__	276.2

PRP results:
No PRP results for M85758623

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 = 690000, B2 = 13627500 (P-1 stage 2)

B1 = 690000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-03-10T22:34:04+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