M485609 Mersenne number exponent details

Residue

Status

L-L

388EA3213ED37861

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	122.7425	72.0588%	20000000	1000000000	1.2534	10.6244%	123.9959	75.0274%
Target	2⁴⁴	0.0000	56.8182%	8000	260000	0.0004	13.9722%	0.0004	62.8516%
Difference	+24	+122.7425	+15.2406%	+19992000	+999740000	+1.2530	-3.3478%	+123.9955	+12.1758%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁸

122.7425

72.0588%

20000000

1000000000

1.2534

10.6244%

123.9959

75.0274%

Target

2⁴⁴

0.0000

56.8182%

8000

260000

0.0004

13.9722%

0.0004

62.8516%

Difference

+24

+122.7425

+15.2406%

+19992000

+999740000

+1.2530

-3.3478%

+123.9955

+12.1758%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
485609	637054924993988646963625319	27	89.042	655934017897103067451 7² × 13386408528512307499	2022-12-24	49	13386408528512307499	474,493,091	1.246e+10	2.326e+10

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

485609

637054924993988646963625319

89.042

655934017897103067451
7² × 13386408528512307499

2022-12-24

13386408528512307499

474,493,091

1.246e+10

2.326e+10

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2000-12-07	Alex Kruppa	v4_computers	100000	4000000		-		-	-	0.005	-	-	2.204%
2002-06-23	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.524%
2002-09-22	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.007	-	-	2.193%
2003-04-27	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.014	-	-	2.989%
2010-11-23	Rob_Dee	twopc	500000	1000000		-		-	-	0.009	-	-	1.924%
2010-11-24	Rob_Dee	twopc	1000000	2000000		-		-	-	0.018	-	-	2.528%
2012-10-10	markr	Manual testing	20000000	1000000000		-		-	-	1.253	-	-	10.624%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2000-12-07

Alex Kruppa

v4_computers

100000

4000000

0.005

-

-

2.204%

2002-06-23

ANONYMOUS

v4_computers

32768

3276800

0.004

-

-

1.524%

2002-09-22

ANONYMOUS

v4_computers

65536

6553600

0.007

-

-

2.193%

2003-04-27

ANONYMOUS

v4_computers

131072

13107200

0.014

-

-

2.989%

2010-11-23

Rob_Dee

twopc

500000

1000000

0.009

-

-

1.924%

2010-11-24

Rob_Dee

twopc

1000000

2000000

0.018

-

-

2.528%

2012-10-10

markr

Manual testing

20000000

1000000000

1.253

-

-

10.624%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-12-12	masser	Manual testing	4000000	96000000	98	13			-	-	0.188
2022-12-18	masser	coffeelake	8000000	216000000	6	5			-	-	0.397
2022-12-24	masser	Manual testing	16000000	496000000	2	7	637054924993988646963625319	P+1	27	89.042	0.853

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2022-12-12

masser

Manual testing

4000000

96000000

0.188

2022-12-18

masser

coffeelake

8000000

216000000

0.397

2022-12-24

masser

Manual testing

16000000

496000000

637054924993988646963625319

P+1

89.042

0.853

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-04-27	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.005	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.005	-	-
2001-03-25	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.020	-	-
2002-01-22	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.040	-	-
2003-12-31	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.079	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.237	-	-
2011-11-09	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.316	-	-
2015-07-19	NR	Manual testing	2⁶¹	2⁶²		-	-	0.633	-	-
2015-11-09	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.021	-	-
2015-11-09	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	4.043	-	-
2018-01-13	BloodERazor	Manual testing	2⁶⁴	2⁶⁵		-	-	7.694	-	-
2018-09-29	BloodERazor	Manual testing	2⁶⁵	2⁶⁶		-	-	15.39	-	-
2021-09-27	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	30.78	-	-
2022-05-22	Gordon Spence	Manual testing	2⁶⁷	2⁶⁸		-	-	61.55	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2000-04-27

ANONYMOUS

v4_computers

2¹

2⁵⁴

0.005

-

-

2022-03-07

LordJulius

Manual testing

2⁵⁴

2⁵⁵

0.005

-

-

2001-03-25

ANONYMOUS

v4_computers

2¹

2⁵⁶

0.020

-

-

2002-01-22

ANONYMOUS

v4_computers

2¹

2⁵⁷

0.040

-

-

2003-12-31

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.079

-

-

2016-02-23

Mark Rose

Manual testing

2⁵⁸

2⁶⁰

0.237

-

-

2011-11-09

lycorn

asteroid

2⁶⁰

2⁶¹

0.316

-

-

2015-07-19

Manual testing

2⁶¹

2⁶²

0.633

-

-

2015-11-09

Gordon Spence

Manual testing

2⁶²

2⁶³

2.021

-

-

2015-11-09

Gordon Spence

Manual testing

2⁶³

2⁶⁴

4.043

-

-

2018-01-13

BloodERazor

Manual testing

2⁶⁴

2⁶⁵

7.694

-

-

2018-09-29

BloodERazor

Manual testing

2⁶⁵

2⁶⁶

15.39

-

-

2021-09-27

Yxinity

Manual testing

2⁶⁶

2⁶⁷

30.78

-

-

2022-05-22

Gordon Spence

Manual testing

2⁶⁷

2⁶⁸

61.55

-

-

ECM factoring results:

Total ECM effort:	27.264 GHz-days
Estimated T-Level:	28.155

Digits	B1	Complete	FacMiss
20	11000	44.028	0.000%
25	50000	6.144	0.215%
30	250000	0.631	53.209%
35	1000000	0.051	95.024%
40	3000000	0.003	99.662%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		282	3.649
250000	25000000		365	23.62

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-17	Team_Bundu	bundu1	50000	5000000						1	0.013
2007-09-10	Chad Davis	Bayes	50000	5000000						1	0.013
2007-12-26	Steve Scott	Abit	50000	5000000						1	0.013
2007-12-27	Steve Scott	Abit	50000	5000000						1	0.013
2007-12-27	Steve Scott	Celeron	50000	5000000						1	0.013
2008-03-12	Scott Kurowski	HomeOffice	50000	5000000						3	0.039
2008-09-30	Sturle Sunde	v21	50000	5000000						3	0.039
2008-11-23	Sturle Sunde	v22	50000	5000000						3	0.039
2009-01-28	Sturle Sunde	v22	50000	5000000						3	0.039
2009-03-07	Dalos Lee	dalosdesk	50000	5000000						3	0.039
2009-04-12	Sturle Sunde	TOR-ST-0022	50000	5000000						3	0.039
2009-07-01	Architects Cubed	m1_65	50000	5000000						3	0.039
2009-07-08	Architects Cubed	m1_03	50000	5000000						3	0.039
2009-07-27	Architects Cubed	m1_43	50000	5000000						3	0.039
2009-09-06	JimBa	NASsrvr	50000	5000000						3	0.039
2009-09-27	JimBa	ISAserv	50000	5000000						3	0.039
2009-10-19	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-11-01	JimBa	ISAserv	50000	5000000						3	0.039
2009-11-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-11-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-12-22	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-22	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-02-03	James Hintz	18_012210	50000	5000000						3	0.039
2010-02-16	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2010-03-05	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-22	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-04-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-04-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-05-02	Sturle Sunde	PRE6S24JYHZX4PA	50000	5000000						3	0.039
2010-05-18	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.039
2010-06-02	Sturle Sunde	PRECZC44710WB	50000	5000000						3	0.039
2010-06-19	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-07-13	ANONYMOUS	08_122109	50000	5000000						3	0.039
2010-08-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-08-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-09-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-09-21	Sturle Sunde	000461A92481	50000	5000000						3	0.039
2010-10-05	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-10-17	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2010-10-30	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2010-11-10	Beat Bucheli	I7	50000	5000000						3	0.039
2010-11-27	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2010-12-08	josibo	Ziben	50000	5000000						3	0.039
2010-12-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-01-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-01-15	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.039
2011-01-24	Damian Silvestre	PcMa	50000	5000000						3	0.039
2011-02-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-03-25	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-04-11	Sturle Sunde	PRE6S33KN9ZE3KR	50000	5000000						3	0.039
2011-04-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-14	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-06-08	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-06-30	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-07-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-08-11	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-09-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-11-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-11-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-11-08	Sturle Sunde	0020ED657F62	50000	5000000						3	0.039
2011-11-10	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-12-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2012-01-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2012-03-30	561	561	50000	5000000						3	0.039
2012-04-27	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2012-06-04	Lukasz Wrobel	v7	50000	5000000						3	0.039
2012-08-14	Lukasz Wrobel	v7	50000	5000000						3	0.039
2012-09-20	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2013-03-01	HVer	dell	50000	5000000						3	0.039
2013-09-27	lopper	Surface_staples	50000	5000000						3	0.039
2013-12-02	Bruce	bfc-ws	50000	5000000						3	0.039
2014-03-31	Bruce	snowflake	50000	5000000						3	0.039
2014-03-31	dragon325	6005x64	50000	5000000						3	0.039
2014-04-02	Bruce	snowflake	50000	5000000						3	0.039
2014-07-12	Richard Otter	rjobio	50000	5000000						3	0.039
2014-08-07	dragon325	6005x64	50000	5000000						3	0.039
2015-08-08	mikr	MSI	50000	5000000						58	0.751
2016-03-16	SRJ2877	Manual testing	250000	25000000						14	0.906
2017-03-01	Oussama Kiamouche	Home	250000	25000000						3	0.194
2017-03-12	ANONYMOUS	PD925	250000	25000000						3	0.194
2017-03-18	data dog	OTz	250000	25000000						3	0.194
2017-06-03	jafarism	jafarism-r01	250000	25000000						3	0.194
2017-10-17	jafarism	jafarism-r06-46	250000	25000000						3	0.194
2017-12-16	Bruce	Desk9	250000	25000000						3	0.194
2017-12-25	jafarism	jafarism-r02-15	250000	25000000						3	0.194
2018-04-15	ragin_cajun	lappy	250000	25000000						3	0.194
2018-10-08	Gnorfe	t_lt2	250000	25000000						3	0.194
2019-01-04	TJAOI	Manual testing	250000	25000000						15	0.970
2019-08-17	ragin_cajun	lappy	250000	25000000						3	0.194
2019-09-24	ragin_cajun	lappy	250000	25000000						3	0.194
2019-10-27	Yuji HASEGAWA	gl235	250000	25000000						3	0.194
2020-03-08	Luigi Morelli	Manual testing	250000	25000000						150	9.70
2020-05-22	Luigi Morelli	Manual testing	250000	25000000						150	9.70

date	userid	compid	res64	spent (GHz-days)
2016-06-01	MadPoo	Manual testing	388EA3213ED37861	0.006

date

userid

compid

res64

spent (GHz-days)

2016-06-01

MadPoo

Manual testing

388EA3213ED37861

0.006

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