M90034291 Mersenne number exponent details

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M90034291

<<<

is 2 ^90034291 - 1

has 27103023 decimal digits

takes 303.532 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	84.9888	64.0000%	375000	5437500	3.1815	2.9091%	88.1703	65.0473%	3.0754%
PrimeNet	2⁷¹	5.3100	61.9718%	360000	18000000	6.4579	5.4729%	11.7679	64.0531%	2.0812%
GPU72	2⁷⁵	84.9888	64.0000%	600000	20000000	8.0999	4.0573%	93.0887	65.4606%	1.4606%
Difference	-	-	-	-225000	-14562500	-4.9184	-1.1482%	-4.9184	-0.4134%	-0.4134%

Known prime factors (1 factor, 74.3 bits, 0.00008256% 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
90034291	23794721359432517352583	23	74.333	132142548662001 3³ × 61 × 607 × 132178369	2018-11-03	607	132178369	49.861	35.206	65.750

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	-	-	0.091%
2018-04-03T11:30:02	One Man	Q9550	375000	5437500		-		-	-	3.181	-	-	2.909%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-02-11T16:49:00	Carsten Kossendey	durandal	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-02-18T01:07:00	Carsten Kossendey	mother	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-03-10T06:32:00	Carsten Kossendey	mother	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-12-18T13:45:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2011-12-13T07:11:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-08-29T17:07:00	ANONYMOUS		2⁷⁰	2⁷¹		-	-	2.656	-	-
2015-01-13T08:06:00	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	-	-
2018-11-03T16:05:07	Strolling Jellyfish	Manual testing	2⁷⁴	2⁷⁵	23794721359432517352583	74.333	23	7.368	618.3	15.01

ECM factoring results:
Exponent "90034291" not found

Lucas-Lehmer results:
Exponent "90034291" not found

PRP results:
Exponent "90034291" 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)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-03T16:05:07+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