M75917953 Mersenne number exponent details

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M75917953

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is 2 ^75917953 - 1

has 22853582 decimal digits

takes 209.890 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	2⁷⁴	50.3947	63.5135%	670000	670000	2.6859	1.7478%	53.0806	64.1512%	0.6377%
PrimeNet	2⁷⁰	3.1475	61.4286%	320000	14000000	4.2707	5.5656%	7.4182	63.5753%	2.1467%
GPU72	2⁷⁴	50.3947	63.5135%	500000	18000000	5.8266	4.1892%	56.2213	65.0420%	1.5285%
Difference	-	-	-	+170000	-17330000	-3.1407	-2.4414%	-3.1407	-0.8908%	-0.8908%

Known prime factors (1 factor, 98.9 bits, 0.00013026% 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
75917953	586244827838575042172218771993	30	98.887	3861042116339563595532 2² × 3⁷ × 2579 × 2711 × 108289 × 582949	2015-04-25	108289	582949	1.144e+9	0.5378	0.8835

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-04-25T00:57:00	guru	w5	670000	670000			586244827838575042172218771993	30	98.887	2.686	419.8	5.372	1.748%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-09-16T00:00:00	Marzbug	v4_computers	2¹	2⁶³		-	-	0.021	-	-
2009-06-01T12:37:00	Architects Cubed	m1_36	2⁶³	2⁶⁴		-	-	0.026	-	-
2010-08-15T02:53:00	Anu Järvi	Anu	2⁶⁴	2⁶⁵		-	-	0.049	-	-
2010-10-29T04:46:00	Hollie L Buchanan II	NetBook	2⁶⁵	2⁶⁶		-	-	0.098	-	-
2010-11-11T18:12:00	Hollie L Buchanan II	NetBook	2⁶⁶	2⁶⁷		-	-	0.197	-	-
2011-01-24T20:07:00	dsl	s3	2⁶⁷	2⁶⁸		-	-	0.394	-	-
2011-01-31T04:08:00	john_s	C4043C45E	2⁶⁸	2⁶⁹		-	-	0.787	-	-
2011-03-05T21:18:00	kohsuke_acon	Prime01	2⁶⁹	2⁷⁰		-	-	1.575	-	-
2013-06-01T15:11:00	Six Blue Boxes	seedbox	2⁷⁰	2⁷¹		-	-	3.150	-	-
2015-03-29T10:59:00	LaurV	Manual testing	2⁷¹	2⁷²		-	-	6.300	-	-
2015-04-08T14:54:00	The Mawn	Manual testing	2⁷²	2⁷³		-	-	12.60	-	-
2015-04-08T14:54:00	The Mawn	Manual testing	2⁷³	2⁷⁴		-	-	25.20	-	-

ECM factoring results:
No ECM results for M75917953

Lucas-Lehmer results:
No L-L results for M75917953

PRP results:
No PRP results for M75917953

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 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-04-25T00:57:00+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