M67051583 Mersenne number exponent details

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is 2 ^67051583 - 1

has 20184538 decimal digits

takes 169.492 GHz-days to do one PRP test

Last-known PrimeNet details:
-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	2⁷¹	7.1300	63.3803%	-	-	-	-	7.1300	63.3803%	0.5231%
PrimeNet	2⁷⁰	3.5637	62.8571%	280000	13000000	3.5664	5.3194%	7.1301	68.1765%	5.3194%
GPU72	2⁷⁴	57.0585	64.8649%	450000	15000000	4.5549	3.9288%	61.6135	68.7936%	3.9288%
Difference	-3	-49.9285	-1.4846%	-450000	-15000000	-4.5549	-3.9288%	-54.4835	-5.4133%	-5.4133%

Known prime factors (1 factor, 71.5 bits, 0.00010668% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
67051583	3414512965786448791457	22	71.532	25461837088816 2⁴ × 83 × 107 × 1759 × 101869	1759	101869	2013-08-23	7.8031	0.0264	0.0380

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-08-23T03:33:00	Ge yong	Manual testing					3414512965786448791457	22	71.532	-	339.0	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-11T07:40:00	Wojciech Florek	Manual testing	?	2⁶⁴		-	-	0.029	-	-
2009-12-27T21:24:00	curtisc	JCKL-ccj07L	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2010-01-02T06:07:00	Lars Nordmeyer	kubuntu	2⁶⁵	2⁶⁶		-	-	0.111	-	-
2010-01-02T19:13:00	Sturle Sunde	nardi.ifi	2⁶⁶	2⁶⁷		-	-	0.223	-	-
2010-03-15T00:35:00	ddboy3	ibm3	2⁶⁷	2⁶⁸		-	-	0.446	-	-
2010-03-15T18:27:00	Gnorfe	_k_kontor	2⁶⁸	2⁶⁹		-	-	0.892	-	-
2012-05-03T20:36:00	cnaTb_xo4y	Win7	2⁶⁹	2⁷⁰		-	-	1.783	-	-
2012-08-13T14:06:00	Clown_Royal	Manual testing	2⁷⁰	2⁷¹		-	-	3.566	-	-

ECM factoring results:
Exponent "67051583" not found

Lucas-Lehmer results:
Exponent "67051583" not found

PRP results:
Exponent "67051583" 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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-08-23T03:33:51+00:00