M64455383 Mersenne number exponent details

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M64455383

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is 2 ^64455383 - 1

has 19403004 decimal digits

takes 156.349 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	59.3568	64.8649%	910000	20930000	7.0371	4.5427%	66.3939	66.4609%	3.6038%
PrimeNet	2⁷⁰	3.7072	62.8571%	280000	12000000	3.2307	5.2182%	6.9380	64.7953%	1.9382%
GPU72	2⁷⁴	59.3568	64.8649%	450000	14000000	4.1794	3.8577%	63.5362	66.2203%	1.3554%
Difference	-	-	-	+460000	+6930000	+2.8578	+0.6850%	+2.8578	+0.2407%	+0.2407%

Known prime factors (1 factor, 83.9 bits, 0.00013022% 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
64455383	18455482611233271570468199	26	83.932	143164788976843653 3 × 19 × 89 × 109 × 557 × 464825197	2013-11-24	557	464825197	41,661	89.076	166.37

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-11-24T20:44:00	Jerry Hallett	QuadTF	910000	20930000			18455482611233271570468199	26	83.932	7.037	312.7	14.07	4.543%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-09-21T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2004-01-27T00:00:00	AxelFox	v4_computers	?	2⁶⁰		-	-	0.001	-	-
2009-05-31T07:45:00	For Research	m1_15	2⁶³	2⁶⁴		-	-	0.030	-	-
2009-10-07T13:16:00	SAHS Science Dept	old_laptop	2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-10-17T00:19:00	SAHS Science Dept	old_laptop	2⁶⁵	2⁶⁶		-	-	0.116	-	-
2009-10-23T14:33:00	SAHS Tech Dept	cad14	2⁶⁶	2⁶⁷		-	-	0.232	-	-
2009-11-12T03:46:00	SAHS Tech Dept	cad14	2⁶⁷	2⁶⁸		-	-	0.464	-	-
2009-12-14T20:34:00	carlos56	amd955tfl	2⁶⁸	2⁶⁹		-	-	0.927	-	-
2012-01-21T16:06:00	Aldo_Grid	dell	2⁶⁹	2⁷⁰		-	-	1.855	-	-
2013-05-09T18:32:00	RichD0	Manual testing	2⁷⁰	2⁷²		-	-	11.13	-	-
2013-11-12T10:25:00	Bdot	Manual testing	2⁷²	2⁷³		-	-	14.84	-	-
2013-11-13T05:55:00	bayanne	Manual testing	2⁷³	2⁷⁴		-	-	29.68	-	-

ECM factoring results:
Exponent "64455383" not found

Lucas-Lehmer results:
Exponent "64455383" not found

PRP results:
Exponent "64455383" not found

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 = 910000, B2 = 20930000 (P-1 stage 2)

B1 = 910000 (P-1 stage 1)

10¹

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10²

10³

10⁴

10⁵

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10⁹

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-11-24T20:44:17+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