M90076403 Mersenne number exponent details

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M90076403

<<<

is 2 ^90076403 - 1

has 27115700 decimal digits

takes 303.674 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	84.9491	64.0000%	10000	10000	0.0489	0.0910%	84.9980	64.0328%	2.0609%
PrimeNet	2⁷¹	5.3075	61.9718%	360000	18000000	6.4579	5.4732%	11.7654	64.0532%	2.0813%
GPU72	2⁷⁵	84.9491	64.0000%	600000	20000000	8.0999	4.0575%	93.0490	65.4607%	1.4607%
Difference	-	-	-	-590000	-19990000	-8.0510	-3.9665%	-8.0510	-1.4279%	-1.4279%

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
90076403	23222441039888242506799	23	74.298	128904131750733 3³ × 43 × 111028537253	2018-11-22	43	111028537253	75.323	29,570	55,229

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:36:03	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
2010-02-26T00:08:00	Carsten Kossendey	durandal	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-11-14T04:46:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2013-06-22T05:12:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2013-11-15T11:12:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.327	-	-
2014-08-30T00:21:00	ANONYMOUS		2⁷⁰	2⁷¹		-	-	2.655	-	-
2015-01-08T20:10:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.309	-	-
2016-07-18T10:49:30	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-11-19T11:03:18	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.24	-	-
2018-11-22T17:13:55	Strolling Jellyfish	Manual testing	2⁷⁴	2⁷⁵	23222441039888242506799	74.298	23	32.85	618.6	66.91

ECM factoring results:
Exponent "90076403" not found

Lucas-Lehmer results:
Exponent "90076403" not found

PRP results:
Exponent "90076403" 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)

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10³

10⁴

10⁵

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10¹²

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁵⁰

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2⁹⁰

2¹⁰⁰

Last modified: 2018-11-22T17:13:55+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