M90103477 Mersenne number exponent details

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is 2 ^90103477 - 1

has 27123850 decimal digits

takes 303.766 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	42.4608	63.5135%	10000	10000	0.0489	0.1108%	42.5097	63.5539%	1.5821%
PrimeNet	2⁷¹	5.3059	61.9718%	360000	18000000	6.4579	5.4734%	11.7638	64.0533%	2.0814%
GPU72	2⁷⁵	84.9236	64.0000%	600000	20000000	8.0999	4.0577%	93.0234	65.4608%	1.4608%
Difference	-1	-42.4628	-0.4865%	-590000	-19990000	-8.0510	-3.9469%	-50.5138	-1.9068%	-1.9068%

Known prime factors (1 factor, 74.0 bits, 0.00008217% 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
90103477	19344642535218094203617	23	74.034	107346814902704 2⁴ × 13 × 61 × 211 × 5347 × 7499	2018-03-03	5347	7499	82.019	0.0267	0.0532

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-03-04T04:00:25	c10ck3r	Manual testing	10000	10000			19344642535218094203617	23	74.034	0.049	607.5	0.098	0.111%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-02T19:54:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-12-09T14:35:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2011-02-25T05:57:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.663	-	-
2013-11-15T11:13:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.327	-	-
2015-01-06T05:28:00	JakeW	Manual testing	2⁷⁰	2⁷¹		-	-	2.654	-	-
2015-01-25T09:08:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.308	-	-
2016-07-08T12:54:04	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-12-17T13:16:06	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.23	-	-

ECM factoring results:
Exponent "90103477" not found

Lucas-Lehmer results:
Exponent "90103477" not found

PRP results:
Exponent "90103477" 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)

10²

10³

10⁴

10²

10³

10⁴

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-03-04T04:00:25+00:00