M23516089 Mersenne number exponent details

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is 2 ^23516089 - 1

has 7079049 decimal digits

takes 19.074 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	C47A7D876FDCBA6E	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	2⁷⁰	10.1612	64.2857%	1200000	76800000	6.2556	7.4457%	16.4168	66.9449%	2.6592%
PrimeNet	2⁶⁶	0.6280	62.1212%	100000	3600000	0.3419	4.7679%	0.9699	63.9272%	1.8060%
GPU72	2⁷⁰	10.1612	64.2857%	160000	4500000	0.4663	3.4851%	10.6274	65.5304%	1.2447%
Difference	-	-	-	+1040000	+72300000	+5.7893	+3.9607%	+5.7893	+1.4145%	+1.4145%

Known prime factors (1 factor, 70.5 bits, 0.00029961% 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
23516089	1619450690983460996873	22	70.456	34432823650724 2² × 1175411 × 7323571	2021-05-05	1175411	7323571	12.107	1.7764	2.8135

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-08-20T00:00:00	ANONYMOUS	v4_computers	340000	340000		-		-	-	0.400	-	-	1.743%
2021-05-05T08:51:22	firejuggler	Maison	1200000	76800000			1619450690983460996873	22	70.456	6.256	38.15	12.51	7.446%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-09-10T00:00:00	Net_Force	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2003-07-13T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.003	-	-
2003-12-23T00:00:00	Bogiatzoules	v4_computers	?	2⁶⁷		-	-	0.636	-	-
2016-06-10T01:52:44	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.271	-	-
2018-01-05T17:22:16	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.542	-	-
2018-08-26T21:57:25	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	5.084	-	-

ECM factoring results:
Exponent "23516089" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-09-16T00:00:00	ANONYMOUS	v4_computers	C47A7D876FDCBA6E	19.07
2010-04-08T08:05:00	Roberto Quezada	Oficina	C47A7D876FDCBA6E	19.07

PRP results:
Exponent "23516089" 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 = 1200000, B2 = 76800000 (P-1 stage 2)

B1 = 1200000 (P-1 stage 1)

B1 = 340000 (P-1 stage 1)

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TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁰

2⁵⁶

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2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-05-05T08:51:22+00:00