M66863711 Mersenne number exponent details

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M66863711

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is 2 ^66863711 - 1

has 20127983 decimal digits

takes 169.017 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	57.2189	64.8649%	590000	590000	2.1625	1.6237%	59.3814	65.4354%	0.5705%
PrimeNet	2⁷⁰	3.5737	62.8571%	280000	13000000	3.5664	5.3176%	7.1401	64.8322%	1.9751%
GPU72	2⁷⁴	57.2189	64.8649%	450000	15000000	4.5549	3.9274%	61.7738	66.2448%	1.3799%
Difference	-	-	-	+140000	-14410000	-2.3924	-2.3037%	-2.3924	-0.8094%	-0.8094%

Known prime factors (1 factor, 77.3 bits, 0.00011563% 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
66863711	187721623148251128275569	24	77.313	1403763120089544 2³ × 3 × 23 × 331 × 57839 × 132833	2013-10-03	57839	132833	555.27	0.2270	0.4314

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-10-03T13:34:00	Jwb52z	Clay	590000	590000			187721623148251128275569	24	77.313	2.163	338.0	4.325	1.624%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-05-10T23:40:00	1997rj7	Manual testing	2¹	2⁶⁴		-	-	0.053	-	-
2009-12-09T09:08:00	Robert M.	elbandito	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2009-12-11T21:33:00	Sturle Sunde	interavia.ifi	2⁶⁵	2⁶⁶		-	-	0.112	-	-
2009-12-17T07:06:00	Berdes1	bernard-desktop	2⁶⁶	2⁶⁷		-	-	0.224	-	-
2010-02-26T19:56:00	NoWhereMan	bbox_2ndTurion	2⁶⁷	2⁶⁸		-	-	0.447	-	-
2010-03-02T07:41:00	korva	dualcore1	2⁶⁸	2⁶⁹		-	-	0.894	-	-
2012-03-09T06:45:00	Dr. Nowak	azm83	2⁶⁹	2⁷⁰		-	-	1.788	-	-
2012-07-13T08:41:00	Philipp Westphal	galgo	2⁷⁰	2⁷¹		-	-	3.576	-	-
2013-09-27T23:26:00	kdgehman	Manual testing	2⁷¹	2⁷²		-	-	7.153	-	-
2013-09-27T23:26:00	kdgehman	Manual testing	2⁷²	2⁷³		-	-	14.31	-	-
2013-09-27T23:26:00	kdgehman	Manual testing	2⁷³	2⁷⁴		-	-	28.61	-	-

ECM factoring results:
No ECM results for M66863711

Lucas-Lehmer results:
No L-L results for M66863711

PRP results:
No PRP results for M66863711

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 = 590000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-10-03T13:34:49+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