M85739851 Mersenne number exponent details

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M85739851

<<<

is 2 ^85739851 - 1

has 25810267 decimal digits

takes 276.154 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	A49A87238D2C63__	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	178.4934	64.4737%	670000	11390000	5.8567	3.3155%	184.3501	65.6515%	1.1779%
PrimeNet	2⁷¹	5.5759	61.9718%	360000	17000000	5.9153	5.3868%	11.4912	64.0203%	2.0485%
GPU72	2⁷⁵	89.2456	64.0000%	550000	19000000	7.2631	3.9483%	96.5088	65.4214%	1.4214%
Difference	+1	+89.2477	+0.4737%	+120000	-7610000	-1.4064	-0.6329%	+87.8413	+0.2301%	+0.2301%

Known prime factors:
No known factors for M85739851

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-04-06T22:41:30	boincPlayer	1	670000	11390000		-		-	-	5.857	-	-	3.315%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-28T16:50:00	Architects Cubed	m1_55	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-03-04T02:17:00	wangyun183	Manual testing	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-03-05T10:47:00	timc995	dl580_g5	2⁶⁶	2⁶⁷		-	-	0.174	-	-
2013-03-07T16:45:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.349	-	-
2013-03-12T13:08:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.697	-	-
2013-03-19T08:28:00	OS1	L3	2⁶⁹	2⁷⁰		-	-	1.394	-	-
2014-01-17T08:17:00	GrunwalderGIMP	compute-0-3	2⁷⁰	2⁷¹		-	-	2.789	-	-
2017-03-08T02:55:20	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	5.578	-	-
2017-03-08T02:55:20	Judge Hale	Manual testing	2⁷²	2⁷³		-	-	11.16	-	-
2017-05-05T22:48:31	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.31	-	-
2017-10-08T15:59:06	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	44.62	-	-
2017-10-08T15:59:06	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.25	-	-

ECM factoring results:
No ECM results for M85739851

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2019-04-13T03:10:01	S00030	op9020-usff	A49A87238D2C63__	276.2

PRP results:
No PRP results for M85739851

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 = 670000, B2 = 11390000 (P-1 stage 2)

B1 = 670000 (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: 2019-04-13T03:10:01+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