M90022831 Mersenne number exponent details

≡

M90022831

<<<

is 2 ^90022831 - 1

has 27099573 decimal digits

takes 303.494 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	2⁷⁵	84.9996	64.0000%	390000	7215000	3.7242	3.1147%	88.7238	65.1213%	3.1495%
PrimeNet	2⁷¹	5.3106	61.9718%	360000	18000000	6.4579	5.4728%	11.7686	64.0530%	2.0812%
GPU72	2⁷⁵	84.9996	64.0000%	600000	20000000	8.0999	4.0572%	93.0995	65.4606%	1.4606%
Difference	-	-	-	-210000	-12785000	-4.3757	-0.9425%	-4.3757	-0.3393%	-0.3393%

Known prime factors (1 factor, 74.8 bits, 0.00008305% 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
90022831	32169364698025037074481	23	74.768	178673367304040 2³ × 5 × 7 × 3347 × 190654069	2018-08-30	3347	190654069	78.560	50.793	94.838

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:37	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.091%
2018-03-20T10:53:25	One Man	X5660	390000	7215000	6	-		-	-	3.724	-	-	3.115%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-22T16:37:00	Carsten Kossendey	durandal	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-02-04T05:31:00	Carsten Kossendey	leela	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-03-07T08:05:00	Carsten Kossendey	mother	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-11-12T22:40:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2011-01-10T08:12:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-12-11T18:58:00	JakeW	Manual testing	2⁷⁰	2⁷¹		-	-	2.656	-	-
2015-01-08T20:10:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.313	-	-
2016-06-15T22:06:35	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.63	-	-
2017-07-06T12:01:05	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.25	-	-
2018-08-30T12:57:21	axn	Manual testing	2⁷⁴	2⁷⁵	32169364698025037074481	74.768	23	36.06	618.2	73.46

ECM factoring results:
Exponent "90022831" not found

Lucas-Lehmer results:
Exponent "90022831" not found

PRP results:
Exponent "90022831" 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)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-08-30T12:57:21+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