M4014763 Mersenne number exponent details

Residue

Status

L-L

94C4992E2A6170F1

double-checked

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	2⁶⁷	7.4012	67.1642%	120000	3000000	0.0501	3.3090%	7.4512	68.2507%	1.0865%
PrimeNet	2⁶¹	0.0765	63.9344%	16000	320000	0.0059	2.7297%	0.0824	64.9189%	0.9845%
GPU72	2⁶⁵	1.8172	66.1538%	22000	360000	0.0073	1.7503%	1.8245	66.7463%	0.5924%
Difference	+2	+5.5839	+1.0103%	+98000	+2640000	+0.0428	+1.5586%	+5.6267	+1.5044%	+1.5044%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

7.4012

67.1642%

120000

3000000

0.0501

3.3090%

7.4512

68.2507%

1.0865%

PrimeNet

2⁶¹

0.0765

63.9344%

16000

320000

0.0059

2.7297%

0.0824

64.9189%

0.9845%

GPU72

2⁶⁵

1.8172

66.1538%

22000

360000

0.0073

1.7503%

1.8245

66.7463%

0.5924%

Difference

+5.5839

+1.0103%

+98000

+2640000

+0.0428

+1.5586%

+5.6267

+1.5044%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4014763	1083170796960310477753193	25	79.842	134898473080516892 2² × 41 × 73 × 806513 × 13971047	2009-11-22	806513	13971047	48,133	0.2756	0.2968

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4014763

1083170796960310477753193

79.842

134898473080516892
2² × 41 × 73 × 806513 × 13971047

2009-11-22

806513

13971047

48,133

0.2756

0.2968

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-06-06T19:10:00	markr	lounge	120000	3000000		-		-	-	0.050	-	-	3.309%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-05T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.077	-	-
2009-11-07T22:22:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.398	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		1083170796960310477753193	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-11-22T14:36:00	alan145	Bear4			1083170796960310477753193	79.842		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-07-29T00:00:00	ANONYMOUS	v4_computers	94C4992E2A6170F1	0.501
1999-09-30T00:00:00	ANONYMOUS	v4_computers	94C4992E2A6170F1	0.501

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-12T23:54:44

Oliver Kruse

GTX-3

1083170796960310477753193

4AED3E79D0B272__

2017-12-20T05:19:24

kkmrkkblmbrbk

c4.xlarge

1083170796960310477753193

4AED3E79D0B272__

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 = 120000, B2 = 3000000 (P-1 stage 2)

B1 = 120000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶¹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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