M62439281 Mersenne number exponent details

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M62439281

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is 2 ^62439281 - 1

has 18796097 decimal digits

takes 146.674 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	30.6353	64.3836%	585000	10968750	3.9196	4.1733%	34.5549	65.8699%	1.4864%
PrimeNet	2⁷⁰	3.8269	62.8571%	260000	12000000	3.0643	5.1471%	6.8912	64.7689%	1.9118%
GPU72	2⁷⁴	61.2734	64.8649%	400000	13000000	3.7007	3.7251%	64.9741	66.1737%	1.3088%
Difference	-1	-30.6381	-0.4813%	+185000	-2031250	+0.2189	+0.4482%	-30.4193	-0.3038%	-0.3038%

Known prime factors (1 factor, 78.6 bits, 0.00012594% 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
62439281	469145501693321170629529	24	78.634	3756813773154444 2² × 3⁴ × 227 × 18743 × 2725271	2013-04-09	18743	2725271	1,405.7	0.5661	0.9446

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-04-09T14:07:00	Jwb52z	Clay	585000	10968750			469145501693321170629529	24	78.634	3.920	293.3	7.839	4.173%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T01:48:47	LordJulius	Manual testing	2¹	2⁶³		-	-	0.026	-	-
2008-12-24T01:36:00	Derek	Derek_Desk	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-02-17T10:28:00	ANONYMOUS	3matsch1	2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-02-18T12:58:00	jkolonko	WEGA2	2⁶⁵	2⁶⁶		-	-	0.120	-	-
2009-02-23T07:45:00	Dirk-HRO	grey	2⁶⁶	2⁶⁷		-	-	0.239	-	-
2009-02-26T10:30:00	Dirk-HRO	grey	2⁶⁷	2⁶⁸		-	-	0.479	-	-
2009-10-05T09:16:00	subgenius	sbs2008x64	2⁶⁸	2⁶⁹		-	-	0.957	-	-
2012-04-20T13:31:00	Johan Viljoen	L1	2⁶⁹	2⁷⁰		-	-	1.915	-	-
2012-11-04T16:24:00	TDH-DXL	northstar	2⁷⁰	2⁷¹		-	-	3.830	-	-
2013-03-27T10:26:00	Bdot	Manual testing	2⁷¹	2⁷²		-	-	7.660	-	-
2013-03-28T10:25:00	Bdot	Manual testing	2⁷²	2⁷³		-	-	15.32	-	-

ECM factoring results:
No ECM results for M62439281

Lucas-Lehmer results:
No L-L results for M62439281

PRP results:
No PRP results for M62439281

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 = 10968750 (P-1 stage 2)

B1 = 585000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

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: 2022-03-30T01:48:47+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