M90121459 Mersenne number exponent details

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M90121459

<<<

is 2 ^90121459 - 1

has 27129263 decimal digits

takes 303.826 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	84.9066	64.0000%	10000	10000	0.0489	0.0911%	84.9555	64.0328%	2.0609%
PrimeNet	2⁷¹	5.3048	61.9718%	360000	18000000	6.4579	5.4735%	11.7627	64.0533%	2.0815%
GPU72	2⁷⁵	84.9066	64.0000%	600000	20000000	8.0999	4.0578%	93.0065	65.4608%	1.4608%
Difference	-	-	-	-590000	-19990000	-8.0510	-3.9667%	-8.0510	-1.4280%	-1.4280%

Known prime factors (1 factor, 74.3 bits, 0.00008248% 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
90121459	23714259238860463509703	23	74.328	131568327355089 3 × 7789 × 14419 × 390493	2018-11-25	14419	390493	42.535	0.1706	0.1942

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-03-19T04:15:18	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
2010-06-06T14:34:00	Carsten Kossendey	leela	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-07-20T17:18:00	Carsten Kossendey	mother	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-12-17T06:15:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2011-05-03T16:21:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.663	-	-
2013-11-15T11:16:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.327	-	-
2014-03-09T07:14:00	Ryan Propper	Manual testing	2⁷⁰	2⁷¹		-	-	2.653	-	-
2015-01-08T20:17:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.307	-	-
2016-07-27T16:03:43	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.61	-	-
2018-01-15T14:04:15	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.23	-	-
2018-11-25T15:47:00	TheJudger	Manual testing	2⁷⁴	2⁷⁵	23714259238860463509703	74.328	23	0.083	618.9	0.168

ECM factoring results:
Exponent "90121459" not found

Lucas-Lehmer results:
Exponent "90121459" not found

PRP results:
Exponent "90121459" 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)

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-25T15:47:00+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