M64369951 Mersenne number exponent details

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	59.4356	64.8649%	575000	10350000	3.8956	3.7469%	63.3312	66.1813%	3.3242%
PrimeNet	2⁷⁰	3.7121	62.8571%	280000	12000000	3.2307	5.2173%	6.9429	64.7950%	1.9379%
GPU72	2⁷⁴	59.4356	64.8649%	450000	14000000	4.1794	3.8571%	63.6149	66.2200%	1.3552%
Difference	-	-	-	+125000	-3650000	-0.2837	-0.1101%	-0.2837	-0.0387%	-0.0387%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

59.4356

64.8649%

575000

10350000

3.8956

3.7469%

63.3312

66.1813%

3.3242%

PrimeNet

2⁷⁰

3.7121

62.8571%

280000

12000000

3.2307

5.2173%

6.9429

64.7950%

1.9379%

GPU72

2⁷⁴

59.4356

64.8649%

450000

14000000

4.1794

3.8571%

63.6149

66.2200%

1.3552%

Difference

+125000

-3650000

-0.2837

-0.1101%

-0.2837

-0.0387%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
64369951	39762502644255858979249	23	75.074	308859196150824 2³ × 3 × 11 × 17 × 63607 × 1081939	2013-11-18	63607	1081939	176.61	0.4189	0.4553

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

64369951

39762502644255858979249

75.074

308859196150824
2³ × 3 × 11 × 17 × 63607 × 1081939

2013-11-18

63607

1081939

176.61

0.4189

0.4553

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-11-18T13:08:00	markr	tiny	575000	10350000			39762502644255858979249	23	75.074	3.896	312.3	7.791	3.747%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-09-14T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2004-01-18T00:00:00	AxelFox	v4_computers	?	2⁶⁰		-	-	0.001	-	-
2009-03-18T19:15:00	Gnorfe	_hytto	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-03-22T00:34:00	Brian Egdell	vega	2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-10-01T06:16:00	Prime Hunter	Work4	2⁶⁵	2⁶⁶		-	-	0.116	-	-
2010-03-01T14:05:00	MRDEDEBL67	ACER-ATOM	2⁶⁶	2⁶⁷		-	-	0.232	-	-
2010-03-03T19:39:00	liceomajoranaorvieto	info6	2⁶⁷	2⁶⁸		-	-	0.464	-	-
2010-03-04T10:04:00	liceomajoranaorvieto	info6	2⁶⁸	2⁶⁹		-	-	0.929	-	-
2012-04-20T23:03:00	mgdavilaINE	Enero_2010	2⁶⁹	2⁷⁰		-	-	1.857	-	-
2013-05-09T07:39:00	For Research	Manual testing	2⁷⁰	2⁷¹		-	-	3.715	-	-
2013-10-09T14:03:00	Brian Lenhart	Manual testing	2⁷¹	2⁷²		-	-	7.430	-	-
2013-11-10T06:16:00	LingUaan	Manual testing	2⁷²	2⁷³		-	-	14.86	-	-
2013-11-12T00:35:00	chappjc	Manual testing	2⁷³	2⁷⁴		-	-	29.72	-	-

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 = 575000, B2 = 10350000 (P-1 stage 2)

B1 = 575000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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