M480533 Mersenne number exponent details

Residue

Status

L-L

304913C891F54B06

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	61.8353	71.6418%	10000000	400000000	0.5337	9.6999%	62.3690	74.3925%	2.7507%
PrimeNet	2⁴⁰	0.0000	52.5000%	4500	160000	0.0002	18.6839%	0.0002	61.3749%	8.8749%
GPU72	2⁴⁴	0.0000	56.8182%	8000	260000	0.0004	13.9535%	0.0004	62.8436%	6.0254%
Difference	+23	+61.8353	+14.8236%	+9992000	+399740000	+0.5333	-4.2536%	+62.3686	+11.5489%	+11.5489%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

61.8353

71.6418%

10000000

400000000

0.5337

9.6999%

62.3690

74.3925%

2.7507%

PrimeNet

2⁴⁰

0.0000

52.5000%

4500

160000

0.0002

18.6839%

0.0002

61.3749%

8.8749%

GPU72

2⁴⁴

0.0000

56.8182%

8000

260000

0.0004

13.9535%

0.0004

62.8436%

6.0254%

Difference

+23

+61.8353

+14.8236%

+9992000

+399740000

+0.5333

-4.2536%

+62.3686

+11.5489%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
480533	9594582939336017155776455351	28	92.954	9983271637261142476975 5² × 476167 × 838636162292737	2013-11-29	476167	838636162292737	3.386e+9	780,304	1,457,391

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

480533

9594582939336017155776455351

92.954

9983271637261142476975
5² × 476167 × 838636162292737

2013-11-29

476167

838636162292737

3.386e+9

780,304

1,457,391

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2000-12-07T00:00:00	Alex Kruppa	v4_computers	100000	4000000		-		-	-	0.005	-	-	2.482%
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.745%
2002-09-22T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.007	-	-	2.479%
2003-04-27T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.014	-	-	3.341%
2010-11-09T22:25:00	Jocelyn Larouche	Manual testing	300000	300000		-		-	-	0.005	-	-	1.280%
2010-11-11T22:25:00	Jocelyn Larouche	Manual testing	500000	500000		-		-	-	0.009	-	-	1.629%
2010-11-13T20:25:00	Rob_Dee	twopc	500000	1000000		-		-	-	0.009	-	-	2.151%
2010-11-14T20:54:00	Rob_Dee	twopc	1000000	2000000		-		-	-	0.018	-	-	2.805%
2012-10-02T00:24:00	markr	Manual testing	10000000	400000000		-		-	-	0.534	-	-	9.700%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2000-12-07T00:00:00

Alex Kruppa

v4_computers

100000

4000000

0.005

-

-

2.482%

2002-06-23T00:00:00

ANONYMOUS

v4_computers

32768

3276800

0.004

-

-

1.745%

2002-09-22T00:00:00

ANONYMOUS

v4_computers

65536

6553600

0.007

-

-

2.479%

2003-04-27T00:00:00

ANONYMOUS

v4_computers

131072

13107200

0.014

-

-

3.341%

2010-11-09T22:25:00

Jocelyn Larouche

Manual testing

300000

0.005

-

-

1.280%

2010-11-11T22:25:00

Jocelyn Larouche

Manual testing

500000

0.009

-

-

1.629%

2010-11-13T20:25:00

Rob_Dee

twopc

500000

1000000

0.009

-

-

2.151%

2010-11-14T20:54:00

Rob_Dee

twopc

1000000

2000000

0.018

-

-

2.805%

2012-10-02T00:24:00

markr

Manual testing

10000000

400000000

0.534

-

-

9.700%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.005	-	-
2022-03-07T07:41:31	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.005	-	-
2001-03-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.020	-	-
2002-01-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.040	-	-
2003-12-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.080	-	-
2022-03-07T07:41:31	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.240	-	-
2012-12-30T04:00:00	Sid & Andy	Buzz	2⁶⁰	2⁶¹		-	-	0.320	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2000-04-27T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁴

0.005

-

-

2022-03-07T07:41:31

LordJulius

Manual testing

2⁵⁴

2⁵⁵

0.005

-

-

2001-03-25T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁶

0.020

-

-

2002-01-22T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁷

0.040

-

-

2003-12-31T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.080

-

-

2022-03-07T07:41:31

LordJulius

Manual testing

2⁵⁸

2⁶⁰

0.240

-

-

2012-12-30T04:00:00

Sid & Andy

Buzz

2⁶⁰

2⁶¹

0.320

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.905 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	422 / 100	4.220	1.439%
25	50000	422 / 280	1.507	22.095%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	12.905 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	20.968	0.000%
25	50000	2.545	7.844%
30	250000	0.237	78.886%
35	1000000	0.018	98.229%
40	3000000	0.001	99.887%

ECM Summary

B1	B2	factor	curves	GHz-days
		9594582939336017155776455351	1	0.00000e+0
50000	5000000		278	3.595
250000	25000000		144	9.311

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-17T06:42:00	ANONYMOUS	Bayes	50000	5000000						1	0.013
2007-09-09T15:29:00	Chad Davis	Bayes	50000	5000000						1	0.013
2007-12-23T01:25:00	Steve Scott	Asus-1	50000	5000000						1	0.013
2007-12-23T06:29:00	Steve Scott	Asus-1	50000	5000000						1	0.013
2007-12-23T08:09:00	Steve Scott	805D	50000	5000000						1	0.013
2008-02-29T18:26:00	Steve Scott	Printer-2	50000	5000000						3	0.039
2008-09-21T00:44:00	Sturle Sunde	v17	50000	5000000						3	0.039
2008-11-21T06:05:00	Sturle Sunde	v22	50000	5000000						3	0.039
2009-01-18T04:13:00	Sturle Sunde	v17	50000	5000000						3	0.039
2009-03-05T03:16:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-04-24T22:14:00	James Hintz	02_060209	50000	5000000						3	0.039
2009-06-26T17:34:00	Lackó	Iroda_Andras	50000	5000000						3	0.039
2009-07-08T20:42:00	Architects Cubed	m1_74	50000	5000000						3	0.039
2009-07-26T19:55:00	Architects Cubed	m1_69	50000	5000000						3	0.039
2009-09-02T19:48:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-09-24T21:50:00	JimBa	ISAserv	50000	5000000						3	0.039
2009-10-17T02:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-10-30T09:10:00	David Bessell	L301	50000	5000000						3	0.039
2009-11-14T01:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-12-01T16:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-12-18T05:16:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-04T16:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-20T21:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-31T23:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-02-11T14:44:00	James Hintz	11_122109	50000	5000000						3	0.039
2010-03-02T03:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-17T21:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-30T23:21:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-04-14T02:52:00	David Bessell	L301	50000	5000000						3	0.039
2010-05-12T23:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-05-29T23:17:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.039
2010-06-14T01:12:00	Sturle Sunde	0020ED7F6D0F	50000	5000000						3	0.039
2010-07-03T15:12:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-07-26T19:01:00	Ranma	Ranma	50000	5000000						3	0.039
2010-07-28T07:27:00	James Hintz	06_122109	50000	5000000						3	0.039
2010-08-20T11:35:00	James Hintz	06_122109	50000	5000000						3	0.039
2010-09-08T18:00:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.039
2010-09-15T19:44:00	Sturle Sunde	PRE6S32KN9Z73PR	50000	5000000						3	0.039
2010-09-29T20:29:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-10-13T01:12:00	Sturle Sunde	0020ED73D00C	50000	5000000						3	0.039
2010-10-24T00:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-11-05T16:41:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2010-11-19T04:59:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-12-03T16:24:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2010-12-11T21:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-12-29T08:01:00	James Hintz	06_122109	50000	5000000						3	0.039
2011-01-14T15:02:00	Jo Yeong Uk	Laptop1	50000	5000000						3	0.039
2011-01-19T19:39:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2011-01-31T02:17:00	Damian Silvestre	PcMa	50000	5000000						3	0.039
2011-02-13T20:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-04-01T16:43:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-04-19T09:42:00	Damian Silvestre	PcMa	50000	5000000						3	0.039
2011-05-06T05:12:00	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.039
2011-05-22T17:58:00	James Hintz	06_122109	50000	5000000						3	0.039
2011-05-31T18:51:00	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-06-15T02:24:00	Sturle Sunde	PRECZB3140ZD8	50000	5000000						3	0.039
2011-07-07T00:31:00	BigBrother	Minipax	50000	5000000						3	0.039
2011-07-27T03:24:00	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-08-19T03:51:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-09-30T20:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-12-08T16:52:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2012-01-05T04:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2012-02-10T02:09:00	Sturle Sunde	v3	50000	5000000						3	0.039
2012-03-13T17:33:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2012-05-13T16:58:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2012-05-29T10:34:00	Carsten Kossendey	durandal	50000	5000000						10	0.129
2012-07-06T09:40:00	Lukasz Wrobel	v7	50000	5000000						3	0.039
2012-09-03T22:13:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2012-12-31T21:10:00	HVer	dell	50000	5000000						3	0.039
2013-09-13T20:22:00	lopper	Surface_staples	50000	5000000						3	0.039
2013-11-29T11:11:00	Bruce	bfc-ws			9594582939336017155776455351	92.954		1		1	-
2016-06-24T03:48:15	TJAOI	Manual testing	50000	5000000						71	0.918
2019-02-08T14:06:03	TJAOI	Manual testing	250000	25000000						44	2.845
2020-07-27T10:58:03	TJAOI	Manual testing	250000	25000000						100	6.466

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