M90673123 Mersenne number exponent details

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M90673123

<<<

is 2 ^90673123 - 1

has 27295330 decimal digits

takes 305.686 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	84.3900	64.0000%	10000	10000	0.0489	0.0912%	84.4389	64.0328%	2.0610%
PrimeNet	2⁷¹	5.2725	61.9718%	400000	18000000	6.6428	5.5491%	11.9153	64.0821%	2.1102%
GPU72	2⁷⁵	84.3900	64.0000%	600000	20000000	8.0999	4.0608%	92.4899	65.4619%	1.4619%
Difference	-	-	-	-590000	-19990000	-8.0510	-3.9696%	-8.0510	-1.4291%	-1.4291%

Known prime factors (1 factor, 74.5 bits, 0.00008221% 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
90673123	27569674045941640318759	23	74.546	152027817801873 3 × 13 × 73 × 211 × 7069 × 35801	2018-11-21	7069	35801	70.443	0.0422	0.0703

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-03-19T04:15:14	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.091%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-08-10T09:40:00	Carsten Kossendey	leela	2⁶⁵	2⁶⁶		-	-	0.082	-	-
2010-11-27T20:40:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.165	-	-
2011-01-07T18:33:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.330	-	-
2011-03-22T17:54:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.659	-	-
2014-06-02T01:01:00	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.319	-	-
2014-09-10T01:05:00	webbert	Manual testing	2⁷⁰	2⁷¹		-	-	2.637	-	-
2016-04-01T20:27:17	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.274	-	-
2017-05-17T01:59:28	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.55	-	-
2018-11-16T23:45:09	gcardona	Manual testing	2⁷³	2⁷⁴		-	-	21.10	-	-
2018-11-21T16:05:08	Strolling Jellyfish	Manual testing	2⁷⁴	2⁷⁵	27569674045941640318759	74.546	23	28.25	622.6	57.54

ECM factoring results:
Exponent "90673123" not found

Lucas-Lehmer results:
Exponent "90673123" not found

PRP results:
Exponent "90673123" 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 = 10000 (stage 1)

10²

10³

10⁴

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-21T16:05:08+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