M90040529 Mersenne number exponent details

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M90040529

<<<

is 2 ^90040529 - 1

has 27104901 decimal digits

takes 303.553 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	2⁷⁴	42.4905	63.5135%	390000	7215000	3.7242	3.4507%	46.2147	64.7725%	2.8007%
PrimeNet	2⁷¹	5.3096	61.9718%	360000	18000000	6.4579	5.4729%	11.7675	64.0531%	2.0812%
GPU72	2⁷⁵	84.9829	64.0000%	600000	20000000	8.0999	4.0573%	93.0828	65.4606%	1.4606%
Difference	-1	-42.4925	-0.4865%	-210000	-12785000	-4.3757	-0.6067%	-46.8681	-0.6881%	-0.6881%

Known prime factors (1 factor, 74.8 bits, 0.00008302% 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
90040529	31784738502709835530847	23	74.751	176502397618687 7 × 23 × 211 × 751 × 6918347	2018-04-08	751	6918347	65.733	1.8461	3.4414

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:46	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.111%
2018-04-08T20:57:41	One Man	X5660	390000	7215000	6		31784738502709835530847	23	74.751	3.724	607.1	7.448	3.451%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-13T06:04:00	Carsten Kossendey	leela	2⁶⁴	2⁶⁵		-	-	0.041	-	-
2010-02-17T09:40:00	Carsten Kossendey	mother	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-02-24T03:34:00	Carsten Kossendey	mother	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-04-21T12:47:00	Carsten Kossendey	mother	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-06-12T13:20:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2010-11-28T17:53:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-03-09T00:05:00	Ryan Propper	Manual testing	2⁷⁰	2⁷¹		-	-	2.656	-	-
2015-01-08T20:10:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.312	-	-
2016-06-28T20:14:00	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-09-25T09:19:29	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.25	-	-

ECM factoring results:
Exponent "90040529" not found

Lucas-Lehmer results:
Exponent "90040529" not found

PRP results:
Exponent "90040529" not found

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 = 390000, B2 = 7215000 (stage 2)

B1 = 390000 (stage 1)

B1 = 10000 (stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-04-08T20:57:41+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