M2833013 Mersenne number exponent details

Residue

Status

L-L

1B3937A1071D4844

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	10.4885	67.1642%	100000	3000000	0.0289	3.0431%	10.5173	68.1634%	0.9992%
PrimeNet	2⁵⁹	0.0271	62.7119%	12000	240000	0.0027	2.9333%	0.0298	63.8056%	1.0938%
GPU72	2⁶³	0.5634	65.0794%	16000	260000	0.0033	1.8269%	0.5666	65.7173%	0.6380%
Difference	+4	+9.9251	+2.0848%	+84000	+2740000	+0.0256	+1.2162%	+9.9507	+2.4461%	+2.4461%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

10.4885

67.1642%

100000

3000000

0.0289

3.0431%

10.5173

68.1634%

0.9992%

PrimeNet

2⁵⁹

0.0271

62.7119%

12000

240000

0.0027

2.9333%

0.0298

63.8056%

1.0938%

GPU72

2⁶³

0.5634

65.0794%

16000

260000

0.0033

1.8269%

0.5666

65.7173%

0.6380%

Difference

+9.9251

+2.0848%

+84000

+2740000

+0.0256

+1.2162%

+9.9507

+2.4461%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2833013	5641147555158970943863	22	72.256	995609189784687 3 × 83 × 3998430481063	2013-04-05	83	3998430481063	580.71	24,397	45,567

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2833013

5641147555158970943863

72.256

995609189784687
3 × 83 × 3998430481063

2013-04-05

3998430481063

580.71

24,397

45,567

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.301%
unknown			100000	3000000		-		-	-	0.029	-	-	3.043%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-02-14T05:14:00	Sturle Sunde	gonzo.ifi	2⁶⁰	2⁶¹		-	-	0.054	-	-
2012-02-13T12:59:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.108	-	-
2013-01-10T10:23:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.347	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.626 GHz-days
Estimated T-Level:	0.300

Digits	B1	Curves	Complete	FacMiss
20	11000	6 / 100	0.060	94.148%
25	50000	6 / 280	0.021	97.876%

New Calculation Method

Total ECM effort:	0.626 GHz-days
Estimated T-Level:	0.300

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
		5641147555158970943863	1	0.00000e+0
50000	5000000		6	0.626

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-26T17:24:00	Marzbug	Xeon	50000	5000000						3	0.313
2010-11-03T14:23:00	Donna Noble	PH2-940-v3-MVB	50000	5000000						3	0.313
2013-04-05T13:25:00	KAMCOBILL	PC20			5641147555158970943863	72.256		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-05-02T00:00:00	ANONYMOUS	v4_computers	1B3937A1071D4844	0.219

date

userid

compid

res64

spent (GHz-days)

1999-05-02T00:00:00

ANONYMOUS

v4_computers

1B3937A1071D4844

0.219

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-22T08:14:48

Oliver Kruse

GTX-2

5641147555158970943863

B0419B97F72B79__

2017-12-07T05:42:07

kkmrkkblmbrbk

c4.xlarge

5641147555158970943863

B0419B97F72B79__

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 = 100000, B2 = 3000000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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