M90042629 Mersenne number exponent details

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M90042629

<<<

is 2 ^90042629 - 1

has 27105533 decimal digits

takes 303.560 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	84.9810	64.0000%	410000	8712500	4.2155	3.2657%	89.1964	65.1757%	3.2038%
PrimeNet	2⁷¹	5.3095	61.9718%	360000	18000000	6.4579	5.4729%	11.7674	64.0531%	2.0813%
GPU72	2⁷⁵	84.9810	64.0000%	600000	20000000	8.0999	4.0573%	93.0808	65.4606%	1.4606%
Difference	-	-	-	-190000	-11287500	-3.8844	-0.7916%	-3.8844	-0.2850%	-0.2850%

Known prime factors (1 factor, 74.7 bits, 0.00008301% 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
90042629	31629650497580602452961	23	74.744	175637089059120 2⁴ × 3³ × 5 × 13 × 6254882089	2018-10-29	27	6254882089	65.115	1,665.9	3,111.4

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:47	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.091%
2018-04-12T19:07:01	One Man	Manual testing	410000	8712500	2	-		-	-	4.215	-	-	3.266%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-20T14:28:00	Carsten Kossendey	leela	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-03-26T22:18:00	Carsten Kossendey	mother	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-11-07T15:32:00	Carsten Kossendey	mother	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-11-30T12:40:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2011-01-11T18:22:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-03-09T00:05:00	Ryan Propper	Manual testing	2⁷⁰	2⁷¹		-	-	2.656	-	-
2015-01-01T09:04:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.311	-	-
2016-06-28T20:14:01	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-09-25T09:19:29	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.25	-	-
2018-10-29T16:00:09	Strolling Jellyfish	Manual testing	2⁷⁴	2⁷⁵	31629650497580602452961	74.744	23	22.63	618.3	46.09

ECM factoring results:
Exponent "90042629" not found

Lucas-Lehmer results:
Exponent "90042629" not found

PRP results:
Exponent "90042629" 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 = 410000, B2 = 8712500 (stage 2)

B1 = 410000 (stage 1)

B1 = 10000 (stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-10-29T16:00:09+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