M68047649 Mersenne number exponent details

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is 2 ^68047649 - 1

has 20484384 decimal digits

takes 172.009 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	2⁷²	0.4367	59.7015%	-	-	-	-	0.4367	59.7015%	-1.7271%
PrimeNet	2⁷⁰	3.5115	61.4286%	280000	13000000	3.5664	5.3291%	7.0779	63.4841%	2.0555%
GPU72	2⁷⁴	56.2233	63.5135%	450000	15000000	4.5549	3.9360%	60.7783	64.9496%	1.4361%
Difference	-2	-55.7867	-3.8120%	-450000	-15000000	-4.5549	-3.9360%	-60.3416	-5.2481%	-5.2481%

Known prime factors (1 factor, 71.1 bits, 0.00010448% 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
68047649	2521241897049300965857	22	71.095	18525562117872 2⁴ × 3 × 385949210789	2014-02-12	16	385949210789	8.9607	77,072	143,949

P-1 results:
Exponent "68047649" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-11-01T15:42:00	kmd	Athena	2⁶³	2⁶⁴		-	-	0.029	-	-
2010-01-12T21:24:00	Sturle Sunde	gigotte.ifi	2⁶⁴	2⁶⁵		-	-	0.055	-	-
2010-01-13T17:09:00	runesk	t0ffen	2⁶⁵	2⁶⁶		-	-	0.110	-	-
2010-01-15T01:38:00	ANONYMOUS		2⁶⁶	2⁶⁷		-	-	0.220	-	-
2010-01-17T04:58:00	sannerud.com	strs-w2k8h	2⁶⁷	2⁶⁸		-	-	0.439	-	-
2010-01-17T21:08:00	Sturle Sunde	gofy.ifi	2⁶⁸	2⁶⁹		-	-	0.879	-	-
2012-03-18T21:36:00	Marzbug	Corei7	2⁶⁹	2⁷⁰		-	-	1.757	-	-
2013-06-03T06:13:00	gdf	C7A7AD702	2⁷⁰	2⁷¹		-	-	3.514	-	-
2014-02-12T13:37:00	bayanne	Manual testing	2⁷¹	2⁷²	2521241897049300965857	71.095	22	1.935	350.3	3.941

ECM factoring results:
Exponent "68047649" not found

Lucas-Lehmer results:
Exponent "68047649" not found

PRP results:
Exponent "68047649" 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

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TF factor-bounds graph:

2⁷²

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2⁶⁸

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2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2014-02-12T13:37:13+00:00