M87663241 Mersenne number exponent details

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M87663241

<<<

is 2 ^87663241 - 1

has 26389266 decimal digits

takes 295.539 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	174.5771	64.4737%	705000	12866250	6.6852	3.4327%	181.2623	65.6932%	1.2195%
PrimeNet	2⁷¹	5.4536	61.9718%	360000	17000000	6.1916	5.4012%	11.6452	64.0258%	2.0540%
GPU72	2⁷⁵	87.2875	64.0000%	600000	20000000	8.0999	4.0441%	95.3874	65.4559%	1.4559%
Difference	+1	+87.2896	+0.4737%	+105000	-7133750	-1.4146	-0.6115%	+85.8749	+0.2373%	+0.2373%

Known prime factors (1 factor, 101.5 bits, 0.00011583% 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
87663241	3684639673975304433875891200441	31	101.539	21015876392108891079420 2² × 3 × 5 × 3697 × 23773 × 448999 × 8876003	2018-05-13	448999	8876003	1.541e+9	4.4393	4.4670

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-05-13T23:30:47	Jwb52z	Clay	705000	12866250			3684639673975304433875891200441	31	101.539	6.685	591.1	13.37	3.433%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-19T15:40:00	Architects Cubed	m1_50	2⁶⁴	2⁶⁵		-	-	0.043	-	-
2013-03-12T11:45:00	evatutin	vtdc	2⁶⁵	2⁶⁶		-	-	0.085	-	-
2013-03-12T21:57:00	gdbutch	Manual testing	2⁶⁶	2⁶⁷		-	-	0.170	-	-
2013-03-13T02:30:00	gdbutch	Manual testing	2⁶⁷	2⁶⁸		-	-	0.341	-	-
2013-03-15T04:30:00	Smok_bmv	Manual testing	2⁶⁸	2⁶⁹		-	-	0.682	-	-
2013-03-18T09:13:00	g0b	Manual testing	2⁶⁹	2⁷⁰		-	-	1.364	-	-
2013-11-18T00:48:00	S04803	Manual testing	2⁷⁰	2⁷¹		-	-	2.728	-	-
2017-06-18T22:26:02	Sid & Andy	Manual testing	2⁷¹	2⁷²		-	-	5.456	-	-
2017-06-18T22:26:02	Sid & Andy	Manual testing	2⁷²	2⁷³		-	-	10.91	-	-
2017-06-24T09:00:05	Tim Sorbera	Manual testing	2⁷³	2⁷⁴		-	-	21.82	-	-
2018-04-26T08:16:08	Brian Beuning	Manual testing	2⁷⁴	2⁷⁵		-	-	43.64	-	-
2018-05-01T17:40:05	Jon Pace	Manual testing	2⁷⁵	2⁷⁶		-	-	87.29	-	-

ECM factoring results:
No ECM results for M87663241

Lucas-Lehmer results:
No L-L results for M87663241

PRP results:
No PRP results for M87663241

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 = 705000, B2 = 12866250 (P-1 stage 2)

B1 = 705000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2018-05-13T23:30:47+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