M90036179 Mersenne number exponent details

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M90036179

<<<

is 2 ^90036179 - 1

has 27103591 decimal digits

takes 303.539 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	84.9870	64.0000%	390000	7215000	3.7242	3.1147%	88.7112	65.1213%	3.1495%
PrimeNet	2⁷¹	5.3098	61.9718%	360000	18000000	6.4579	5.4729%	11.7678	64.0531%	2.0812%
GPU72	2⁷⁵	84.9870	64.0000%	600000	20000000	8.0999	4.0573%	93.0869	65.4606%	1.4606%
Difference	-	-	-	-210000	-12785000	-4.3757	-0.9426%	-4.3757	-0.3393%	-0.3393%

Known prime factors (1 factor, 74.9 bits, 0.00008317% 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
90036179	34807929506691838748903	23	74.882	193299681823969 7 × 17 × 107 × 1163 × 13053311	2018-11-01	1163	13053311	66.122	3.4819	6.4932

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:44	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.091%
2018-04-02T08:08:00	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
2010-02-09T20:20:00	Carsten Kossendey	durandal	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-10-24T02:56:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-11-13T21:54:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2012-09-14T07:12:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2014-04-06T07:42:00	ITS	WUV	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-08-29T22:27:00	Net_Force	Vista64	2⁷⁰	2⁷¹		-	-	2.656	-	-
2015-01-08T20:10:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.312	-	-
2016-06-28T20:13:57	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-09-25T09:19:28	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.25	-	-
2018-11-01T16:05:09	Strolling Jellyfish	Manual testing	2⁷⁴	2⁷⁵	34807929506691838748903	74.882	23	23.63	618.3	48.13

ECM factoring results:
Exponent "90036179" not found

Lucas-Lehmer results:
Exponent "90036179" not found

PRP results:
Exponent "90036179" 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

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-01T16:05:09+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