M77149753 Mersenne number exponent details

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M77149753

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is 2 ^77149753 - 1

has 23224390 decimal digits

takes 217.519 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	2⁷⁴	49.5901	63.5135%	700000	12950000	5.5903	4.1038%	55.1804	65.0108%	1.4973%
PrimeNet	2⁷⁰	3.0972	61.4286%	340000	16000000	4.8780	5.7511%	7.9753	63.6468%	2.2183%
GPU72	2⁷⁴	49.5901	63.5135%	500000	18000000	5.9420	4.1975%	55.5321	65.0450%	1.5315%
Difference	-	-	-	+200000	-5050000	-0.3517	-0.0938%	-0.3517	-0.0342%	-0.0342%

Known prime factors (1 factor, 76.4 bits, 0.00009904% 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
77149753	100126154465201540478799	24	76.406	648907809628383 3³ × 17 × 23 × 83059 × 740041	2015-05-31	83059	740041	257.75	0.4859	0.6911

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-06-01T01:40:00	Jwb52z	Clay	700000	12950000			100126154465201540478799	24	76.406	5.590	435.0	11.18	4.104%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.55532e-5	-	-
2003-12-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.004	-	-
2008-08-04T20:41:00	ANONYMOUS	Manual testing	2¹	2⁶⁵		-	-	0.095	-	-
2010-12-17T04:55:00	Christian Geschwentner	Manual testing	2⁶⁵	2⁶⁶		-	-	0.097	-	-
2011-02-20T11:21:00	Rabelais	Multivac	2⁶⁶	2⁶⁷		-	-	0.194	-	-
2011-02-26T14:41:00	marnes	nogueira	2⁶⁷	2⁶⁸		-	-	0.387	-	-
2011-02-26T21:41:00	ANONYMOUS	Slavanator	2⁶⁸	2⁶⁹		-	-	0.775	-	-
2011-02-27T09:49:00	ANONYMOUS	Slavanator	2⁶⁹	2⁷⁰		-	-	1.550	-	-
2012-12-28T19:13:00	SWL551	Manual testing	2⁷⁰	2⁷¹		-	-	3.100	-	-
2012-12-28T19:13:00	SWL551	Manual testing	2⁷¹	2⁷²		-	-	6.199	-	-
2015-05-30T09:00:00	Tim Sorbera	Manual testing	2⁷²	2⁷³		-	-	12.40	-	-
2015-05-30T09:00:00	Tim Sorbera	Manual testing	2⁷³	2⁷⁴		-	-	24.80	-	-

ECM factoring results:
No ECM results for M77149753

Lucas-Lehmer results:
No L-L results for M77149753

PRP results:
No PRP results for M77149753

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 = 700000, B2 = 12950000 (P-1 stage 2)

B1 = 700000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶¹

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-06-01T01:40:00+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