M83404637 Mersenne number exponent details

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M83404637

<<<

is 2 ^83404637 - 1

has 25107298 decimal digits

takes 260.263 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	2⁷⁶	183.4909	64.4737%	665000	12136250	5.8368	3.3454%	189.3277	65.6622%	1.1885%
PrimeNet	2⁷¹	5.7320	61.9718%	360000	17000000	5.7310	5.3689%	11.4630	64.0135%	2.0417%
GPU72	2⁷⁵	91.7444	64.0000%	550000	19000000	7.0369	3.9349%	98.7813	65.4166%	1.4166%
Difference	+1	+91.7465	+0.4737%	+115000	-6863750	-1.2000	-0.5895%	+90.5465	+0.2456%	+0.2456%

Known prime factors (1 factor, 82.2 bits, 0.00009857% 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
83404637	5589507944734239641155009	25	82.209	33508376427165792 2⁵ × 3 × 23 × 41 × 113 × 2267 × 1444909	2017-09-08	2267	1444909	16,044	0.3659	0.6653

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2017-09-08T21:27:30	Jwb52z	Clay	665000	12136250			5589507944734239641155009	25	82.209	5.837	520.5	11.67	3.345%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-20T07:20:00	Architects Cubed	a3_bu2	2⁶⁴	2⁶⁵		-	-	0.045	-	-
2012-08-14T06:10:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁶		-	-	0.090	-	-
2013-02-10T23:44:00	Andreas Christensen		2⁶⁶	2⁶⁷		-	-	0.179	-	-
2013-06-17T07:34:00	frmar	gnu023	2⁶⁷	2⁶⁸		-	-	0.358	-	-
2013-06-20T10:03:00	frmar	gnu023	2⁶⁸	2⁶⁹		-	-	0.717	-	-
2013-07-15T03:53:00	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.434	-	-
2014-03-25T13:18:00	LarryG	Desktop2	2⁷⁰	2⁷¹		-	-	2.867	-	-
2016-12-19T03:56:42	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	5.734	-	-
2016-12-19T03:56:42	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	11.47	-	-
2016-12-19T03:56:42	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.94	-	-
2016-12-19T03:56:42	ANONYMOUS	Manual testing	2⁷⁴	2⁷⁵		-	-	45.87	-	-
2017-03-05T20:46:29	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	91.75	-	-

ECM factoring results:
No ECM results for M83404637

Lucas-Lehmer results:
No L-L results for M83404637

PRP results:
No PRP results for M83404637

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 = 665000, B2 = 12136250 (P-1 stage 2)

B1 = 665000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

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: 2017-09-08T21:27:30+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