M62173087 Mersenne number exponent details

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M62173087

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is 2 ^62173087 - 1

has 18715965 decimal digits

takes 146.049 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	2⁷³	30.7664	64.3836%	585000	10822500	3.8924	4.1598%	34.6589	65.8651%	1.4816%
PrimeNet	2⁷⁰	3.8433	62.8571%	260000	12000000	3.0643	5.1444%	6.9076	64.7679%	1.9108%
GPU72	2⁷⁴	61.5357	64.8649%	400000	13000000	3.7007	3.7231%	65.2365	66.1730%	1.3081%
Difference	-1	-30.7693	-0.4813%	+185000	-2177500	+0.1917	+0.4367%	-30.5776	-0.3079%	-0.3079%

Known prime factors (1 factor, 88.8 bits, 0.00014282% 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
62173087	538084300046838101893285009	27	88.798	4327308856699025592 2³ × 3 × 127 × 3019 × 233911 × 2010431	2013-05-05	233911	2010431	1,783,420	1.1264	1.6215

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-05-05T22:50:00	Jwb52z	Clay	585000	10822500			538084300046838101893285009	27	88.798	3.892	292.1	7.785	4.160%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T00:00:06	LordJulius	Manual testing	2¹	2⁶³		-	-	0.026	-	-
2008-12-22T02:12:00	Derek	Derek_Desk	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-08-12T18:05:00	Colin	Colin1	2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-10-14T03:08:00	Sturle Sunde	hoffman.ifi	2⁶⁵	2⁶⁶		-	-	0.120	-	-
2009-10-19T08:00:00	Helmut Zulus	vibra	2⁶⁶	2⁶⁷		-	-	0.240	-	-
2009-10-24T18:42:00	Helmut Zulus	vibra	2⁶⁷	2⁶⁸		-	-	0.481	-	-
2009-12-30T16:20:00	Per Jessen	bluewood	2⁶⁸	2⁶⁹		-	-	0.962	-	-
2011-12-07T08:06:00	Stefan		2⁶⁹	2⁷⁰		-	-	1.923	-	-
2012-09-01T21:04:00	S00030	vd01	2⁷⁰	2⁷¹		-	-	3.846	-	-
2013-02-17T19:20:00	ixfd64	Manual testing	2⁷¹	2⁷²		-	-	7.692	-	-
2013-04-03T22:31:00	kdgehman	Manual testing	2⁷²	2⁷³		-	-	15.38	-	-

ECM factoring results:
No ECM results for M62173087

Lucas-Lehmer results:
No L-L results for M62173087

PRP results:
No PRP results for M62173087

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 = 585000, B2 = 10822500 (P-1 stage 2)

B1 = 585000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-30T00:00:06+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