M62092883 Mersenne number exponent details

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M62092883

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is 2 ^62092883 - 1

has 18691821 decimal digits

takes 145.861 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	30.8062	64.3836%	585000	10822500	3.8924	4.1591%	34.6986	65.8649%	1.4813%
PrimeNet	2⁷⁰	3.8483	62.8571%	260000	12000000	3.0643	5.1435%	6.9126	64.7676%	1.9105%
GPU72	2⁷⁴	61.6152	64.8649%	400000	13000000	3.7007	3.7225%	65.3159	66.1728%	1.3079%
Difference	-1	-30.8090	-0.4813%	+185000	-2177500	+0.1917	+0.4366%	-30.6173	-0.3079%	-0.3079%

Known prime factors (1 factor, 86.5 bits, 0.00013939% 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
62092883	113196126890341344017186209	27	86.549	911506451474811888 2⁴ × 3² × 401 × 683 × 2819 × 8198551	2013-04-24	2819	8198551	441,842	1.5305	2.8417

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-04-24T05:58:00	Jwb52z	Clay	585000	10822500			113196126890341344017186209	27	86.549	3.892	291.7	7.785	4.159%

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	-	-
2004-10-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.005	-	-
2022-03-29T23:12:45	LordJulius	Manual testing	2⁶¹	2⁶³		-	-	0.021	-	-
2008-12-28T20:09:00	Derek	Derek_Desk	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-08-11T06:37:00	Sturle Sunde	celair.ifi	2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-08-12T09:55:00	Prime Hunter	Work4	2⁶⁵	2⁶⁶		-	-	0.120	-	-
2009-08-13T13:07:00	Prime Hunter	Work4	2⁶⁶	2⁶⁷		-	-	0.241	-	-
2009-08-17T01:01:00	JudgeGabranth	Midgardsormr	2⁶⁷	2⁶⁸		-	-	0.481	-	-
2009-08-18T21:10:00	Sturle Sunde	gonsha.ifi	2⁶⁸	2⁶⁹		-	-	0.963	-	-
2012-07-20T22:52:00	Craig Meyers	Manual testing	2⁶⁹	2⁷³		-	-	28.88	-	-

ECM factoring results:
No ECM results for M62092883

Lucas-Lehmer results:
No L-L results for M62092883

PRP results:
No PRP results for M62092883

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)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶¹

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-29T23:12:45+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