M62990033 Mersenne number exponent details

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M62990033

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is 2 ^62990033 - 1

has 18961890 decimal digits

takes 147.968 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	30.3674	64.3836%	590000	590000	2.0096	1.8069%	32.3770	65.0271%	0.6436%
PrimeNet	2⁷⁰	3.7935	62.8571%	260000	12000000	3.0643	5.1527%	6.8577	64.7710%	1.9139%
GPU72	2⁷⁴	60.7376	64.8649%	400000	13000000	3.7007	3.7293%	64.4384	66.1752%	1.3103%
Difference	-1	-30.3702	-0.4813%	+190000	-12410000	-1.6911	-1.9223%	-32.0613	-1.1480%	-1.1480%

Known prime factors (1 factor, 73.7 bits, 0.00011695% 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
62990033	15018873142841162348081	23	73.669	119216266665880 2³ × 5 × 31 × 37 × 47 × 197 × 280639	2013-07-12	197	280639	36.941	0.0527	0.0973

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-07-12T23:09:00	Jwb52z	Clay	590000	590000			15018873142841162348081	23	73.669	2.010	295.9	4.019	1.807%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T03:14:35	LordJulius	Manual testing	2¹	2⁶³		-	-	0.025	-	-
2009-02-05T20:05:00	Wojciech Florek	armada4	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-02-19T05:25:00	riccardo uberti	NeoCrunchDuo	2⁶⁴	2⁶⁵		-	-	0.059	-	-
2009-02-25T14:37:00	riccardo uberti	AthlonCrunch	2⁶⁵	2⁶⁶		-	-	0.119	-	-
2009-08-07T21:54:00	Sturle Sunde	gluck.ifi	2⁶⁶	2⁶⁷		-	-	0.237	-	-
2009-08-12T14:10:00	arnaud	SRV-240	2⁶⁷	2⁶⁸		-	-	0.475	-	-
2009-08-13T12:51:00	Aleksey Osadchiy	sl_tlg	2⁶⁸	2⁶⁹		-	-	0.949	-	-
2011-12-22T17:58:00	tmorrow	Paragone	2⁶⁹	2⁷⁰		-	-	1.898	-	-
2012-10-31T06:29:00	GrunwalderGIMP	compute-0-3	2⁷⁰	2⁷¹		-	-	3.796	-	-
2013-04-11T22:06:00	kdgehman	Manual testing	2⁷¹	2⁷²		-	-	7.593	-	-
2013-04-11T22:06:00	kdgehman	Manual testing	2⁷²	2⁷³		-	-	15.19	-	-

ECM factoring results:
No ECM results for M62990033

Lucas-Lehmer results:
No L-L results for M62990033

PRP results:
No PRP results for M62990033

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 = 590000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-30T03:14:35+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