M27151489 Mersenne number exponent details

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is 2 ^27151489 - 1

has 8173413 decimal digits

takes 25.134 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	82BACE5767E76940	double-checked
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	2⁷¹	17.6078	64.7887%	1350000	109350000	9.7101	7.4071%	27.3179	67.3969%	5.2756%
PrimeNet	2⁶⁶	0.5439	62.1212%	120000	4500000	0.4814	5.2127%	1.0253	64.0957%	1.9745%
GPU72	2⁷⁰	8.8006	64.2857%	200000	6000000	0.6926	3.9040%	9.4933	65.6800%	1.3943%
Difference	+1	+8.8072	+0.5030%	+1150000	+103350000	+9.0175	+3.5031%	+17.8246	+1.7168%	+1.7168%

Known prime factors (1 factor, 76.8 bits, 0.00028299% 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
27151489	134831419346216729059463	24	76.836	2482947055798979 7 × 11 × 349337 × 92306471	2021-03-31	349337	92306471	629.41	7.1937	12.608

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-04-02T00:00:00	ANONYMOUS	v4_computers	420000	420000		-		-	-	0.564	-	-	1.736%
2021-03-31T15:29:31	firejuggler	Maison	1350000	109350000			134831419346216729059463	24	76.836	9.71	50.27	19.42	7.407%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-05-15T04:51:55	firejuggler	Maison	500000	23000000	6	5			-	-	2.633

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-18T00:00:00	Net_Force	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2002-08-31T00:00:00	Jocelyn Larouche	v4_computers	?	2⁵⁷		-	-	0.001	-	-
2004-03-16T00:00:00	ANONYMOUS	v4_computers	?	2⁶²		-	-	0.011	-	-
2004-10-18T00:00:00	tsc	v4_computers	?	2⁶⁷		-	-	0.550	-	-
2016-01-17T22:08:20	NR	Manual testing	2⁶⁷	2⁶⁸		-	-	1.101	-	-
2018-04-09T13:24:10	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.202	-	-
2018-09-11T02:25:26	chuenkit	Manual testing	2⁶⁹	2⁷⁰		-	-	4.404	-	-
2021-02-19T19:50:01	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	8.807	-	-

ECM factoring results:
Exponent "27151489" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-12-12T00:00:00	ANONYMOUS	v4_computers	82BACE5767E76940	25.13
2011-07-12T10:18:00	Nikolaj Korbar	KOALA	82BACE5767E76940	25.13

PRP results:
Exponent "27151489" 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 = 1350000, B2 = 109350000 (stage 2)

B1 = 1350000 (stage 1)

B1 = 420000 (stage 1)

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TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶²

2⁵⁷

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-05-15T04:51:55+00:00