M90034409 Mersenne number exponent details

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M90034409

<<<

is 2 ^90034409 - 1

has 27103058 decimal digits

takes 303.533 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	2⁷⁴	42.4934	63.5135%	375000	5437500	3.1815	3.2274%	45.6748	64.6911%	2.7192%
PrimeNet	2⁷¹	5.3100	61.9718%	360000	18000000	6.4579	5.4729%	11.7679	64.0531%	2.0812%
GPU72	2⁷⁵	84.9887	64.0000%	600000	20000000	8.0999	4.0573%	93.0886	65.4606%	1.4606%
Difference	-1	-42.4953	-0.4865%	-225000	-14562500	-4.9184	-0.8299%	-47.4138	-0.7696%	-0.7696%

Known prime factors (1 factor, 74.7 bits, 0.00008296% 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
90034409	30578635633880094849161	23	74.695	169816384499620 2² × 5 × 83 × 48023 × 2130209	2018-04-08	48023	2130209	73.767	0.7893	1.0596

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:43	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.111%
2018-04-08T05:35:23	One Man	Q9550	375000	5437500			30578635633880094849161	23	74.695	3.181	607.1	6.363	3.227%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-02-07T06:05:00	Carsten Kossendey	durandal	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-02-18T07:57:00	Carsten Kossendey	mother	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-03-10T01:19:00	Carsten Kossendey	mother	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-11-28T07:57:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2011-12-13T07:11:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-12-11T18:58:00	JakeW	Manual testing	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	-	-

ECM factoring results:
Exponent "90034409" not found

Lucas-Lehmer results:
Exponent "90034409" not found

PRP results:
Exponent "90034409" 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 = 375000, B2 = 5437500 (stage 2)

B1 = 375000 (stage 1)

B1 = 10000 (stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-04-08T22:18:47+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