M80672513 Mersenne number exponent details

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M80672513

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is 2 ^80672513 - 1

has 24284847 decimal digits

takes 251.737 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	2⁷⁵	94.8515	64.0000%	675000	675000	3.0542	1.5771%	97.9057	64.5677%	0.5677%
PrimeNet	2⁷¹	5.9262	61.9718%	340000	16000000	5.3989	5.2521%	11.3250	63.9691%	1.9973%
GPU72	2⁷⁵	94.8515	64.0000%	500000	17000000	6.3299	3.7867%	101.1814	65.3632%	1.3632%
Difference	-	-	-	+175000	-16325000	-3.2757	-2.2097%	-3.2757	-0.7955%	-0.7955%

Known prime factors (1 factor, 82.7 bits, 0.00010248% 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
80672513	7720342787621215578700001	25	82.675	47849896454950000 2⁴ × 5⁵ × 23 × 43 × 211 × 659 × 6959	2017-02-10	3125	6959	16,661	0.0151	0.0288

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2017-02-11T01:21:21	Jwb52z	Clay	675000	675000			7720342787621215578700001	25	82.675	3.054	503.5	6.108	1.577%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-03T07:40:00	Architects Cubed	m1_35	2⁶⁴	2⁶⁵		-	-	0.046	-	-
2011-01-30T13:40:00	ddboy3	kitchen	2⁶⁵	2⁶⁶		-	-	0.093	-	-
2013-01-26T12:35:00	phoenicis	Manual testing	2⁶⁶	2⁶⁷		-	-	0.185	-	-
2013-01-28T09:05:00	Bold_Seeker	Manual testing	2⁶⁷	2⁶⁸		-	-	0.371	-	-
2013-01-30T06:39:00	Bold_Seeker	Manual testing	2⁶⁸	2⁶⁹		-	-	0.741	-	-
2013-02-02T19:04:00	Bold_Seeker	Manual testing	2⁶⁹	2⁷⁰		-	-	1.482	-	-
2014-02-10T07:32:00	NR	Manual testing	2⁷⁰	2⁷¹		-	-	2.964	-	-
2014-02-10T07:32:00	NR	Manual testing	2⁷¹	2⁷²		-	-	5.928	-	-
2016-08-30T07:10:15	AirSquirrels	Manual testing	2⁷²	2⁷³		-	-	11.86	-	-
2016-08-30T09:02:14	AirSquirrels	Manual testing	2⁷³	2⁷⁴		-	-	23.71	-	-
2016-08-30T13:10:15	AirSquirrels	Manual testing	2⁷⁴	2⁷⁵		-	-	47.43	-	-

ECM factoring results:
No ECM results for M80672513

Lucas-Lehmer results:
No L-L results for M80672513

PRP results:
No PRP results for M80672513

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 = 675000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-02-11T01:21:21+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