M90073891 Mersenne number exponent details

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M90073891

<<<

is 2 ^90073891 - 1

has 27114944 decimal digits

takes 303.666 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality 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	2⁷⁶	169.9049	64.4737%	730000	13505000	6.9709	3.4940%	176.8758	65.7150%	1.2413%
PrimeNet	2⁷¹	5.3076	61.9718%	360000	18000000	6.4579	5.4732%	11.7655	64.0532%	2.0813%
GPU72	2⁷⁵	84.9515	64.0000%	600000	20000000	8.0999	4.0575%	93.0513	65.4607%	1.4607%
Difference	+1	+84.9534	+0.4737%	+130000	-6495000	-1.1290	-0.5635%	+83.8245	+0.2543%	+0.2543%

Known prime factors (1 factor, 80.8 bits, 0.00008966% 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
90073891	2050855691794382163177943	25	80.763	11384296098601881 3 × 7 × 13 × 2591 × 6257 × 2572231	2018-12-30	6257	2572231	4,708.0	0.7140	1.2795

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:36:02	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.075%
2018-12-30T19:41:34	Jwb52z	Clay	730000	13505000			2050855691794382163177943	25	80.763	6.971	607.3	13.94	3.494%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-04-10T06:08:00	Carsten Kossendey	leela	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2009-05-25T09:50:00	Carsten Kossendey	leela	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-03-13T14:49:00	Carsten Kossendey	durandal	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2011-01-14T20:29:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.327	-	-
2015-01-06T05:27:00	JakeW	Manual testing	2⁷⁰	2⁷¹		-	-	2.655	-	-
2015-01-19T09:02:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.310	-	-
2016-07-18T10:49:29	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-11-19T11:03:18	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.24	-	-
2018-11-30T08:44:12	S36049	Manual testing	2⁷⁴	2⁷⁵		-	-	42.48	-	-
2018-12-03T12:32:28	S36049	Manual testing	2⁷⁵	2⁷⁶		-	-	84.95	-	-

ECM factoring results:
No ECM results for M90073891

Lucas-Lehmer results:
No L-L results for M90073891

PRP results:
No PRP results for M90073891

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 = 730000, B2 = 13505000 (P-1 stage 2)

B1 = 730000 (P-1 stage 1)

B1 = 10000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-12-30T19:41:34+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