M699211 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

E3C863EDA1AA2D1E

verified PRP

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	42.4964	70.1493%	10000000	200000000	0.5894	9.0634%	43.0857	72.8548%	2.7055%
PrimeNet	2⁴⁰	0.0000	50.0000%	6500	260000	0.0006	21.4710%	0.0006	60.7355%	10.7355%
GPU72	2⁴⁴	0.0000	54.5455%	12000	450000	0.0010	16.4979%	0.0010	62.0445%	7.4990%
Difference	+23	+42.4963	+15.6038%	+9988000	+199550000	+0.5883	-7.4345%	+43.0847	+10.8103%	+10.8103%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

42.4964

70.1493%

10000000

200000000

0.5894

9.0634%

43.0857

72.8548%

2.7055%

PrimeNet

2⁴⁰

0.0000

50.0000%

6500

260000

0.0006

21.4710%

0.0006

60.7355%

10.7355%

GPU72

2⁴⁴

0.0000

54.5455%

12000

450000

0.0010

16.4979%

0.0010

62.0445%

7.4990%

Difference

+23

+42.4963

+15.6038%

+9988000

+199550000

+0.5883

-7.4345%

+43.0847

+10.8103%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
699211	258220679546373278432731447	27	87.739	184651471119857438193 3 × 7 × 19 × 497579 × 930074705533	2021-12-17	497579	930074705533	55,625,186	1,467.5	2,740.8

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

699211

258220679546373278432731447

87.739

184651471119857438193
3 × 7 × 19 × 497579 × 930074705533

2021-12-17

497579

930074705533

55,625,186

1,467.5

2,740.8

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.195%
2002-01-28T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.420%
2002-03-16T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.761%
2002-05-11T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.003	-	-	1.240%
2002-07-14T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.006	-	-	1.865%
2002-10-26T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.012	-	-	2.631%
2003-06-30T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.024	-	-	3.524%
2011-07-19T21:09:00	Jocelyn Larouche	Manual testing	317002	317002		-		-	-	0.009	-	-	1.397%
2012-02-17T11:12:00	Jocelyn Larouche	Manual testing	528336	528336		-		-	-	0.015	-	-	1.768%
2012-06-09T14:44:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.589	-	-	9.063%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2002-01-02T00:00:00

ANONYMOUS

v4_computers

2000

200000

0.000

-

-

0.195%

2002-01-28T00:00:00

ANONYMOUS

v4_computers

4096

409600

0.001

-

-

0.420%

2002-03-16T00:00:00

ANONYMOUS

v4_computers

8192

819200

0.002

-

-

0.761%

2002-05-11T00:00:00

ANONYMOUS

v4_computers

16384

1638400

0.003

-

-

1.240%

2002-07-14T00:00:00

ANONYMOUS

v4_computers

32768

3276800

0.006

-

-

1.865%

2002-10-26T00:00:00

ANONYMOUS

v4_computers

65536

6553600

0.012

-

-

2.631%

2003-06-30T00:00:00

ANONYMOUS

v4_computers

131072

13107200

0.024

-

-

3.524%

2011-07-19T21:09:00

Jocelyn Larouche

Manual testing

317002

0.009

-

-

1.397%

2012-02-17T11:12:00

Jocelyn Larouche

Manual testing

528336

0.015

-

-

1.768%

2012-06-09T14:44:00

alpertron

Manual testing

10000000

200000000

0.589

-

-

9.063%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-02-23T00:00:00	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.002	-	-
2022-03-07T09:21:30	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.003	-	-
2001-04-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.014	-	-
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.027	-	-
2003-09-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.055	-	-
2008-10-14T02:08:00	Sturle Sunde	hoffman.ifi	2⁵⁸	2⁵⁹		-	-	0.055	-	-
2008-10-14T02:46:00	Sturle Sunde	hoffman.ifi	2⁵⁹	2⁶⁰		-	-	0.110	-	-
2010-06-29T14:42:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.220	-	-
2015-04-08T08:38:00	lycorn	Manual testing	2⁶¹	2⁶⁴		-	-	4.651	-	-
2015-04-08T13:44:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	5.344	-	-
2017-08-18T09:30:43	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	10.69	-	-
2020-01-10T19:45:14	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	21.37	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2000-02-23T00:00:00

ANONYMOUS

v4_computers

2⁵³

2⁵⁴

0.002

-

-

2022-03-07T09:21:30

LordJulius

Manual testing

2⁵⁴

2⁵⁵

0.003

-

-

2001-04-01T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁶

0.014

-

-

2001-12-22T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁷

0.027

-

-

2003-09-29T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.055

-

-

2008-10-14T02:08:00

Sturle Sunde

hoffman.ifi

2⁵⁸

2⁵⁹

0.055

-

-

2008-10-14T02:46:00

Sturle Sunde

hoffman.ifi

2⁵⁹

2⁶⁰

0.110

-

-

2010-06-29T14:42:00

Architects Cubed

m1_f2

2⁶⁰

2⁶¹

0.220

-

-

2015-04-08T08:38:00

lycorn

Manual testing

2⁶¹

2⁶⁴

4.651

-

-

2015-04-08T13:44:00

lycorn

Manual testing

2⁶⁴

2⁶⁵

5.344

-

-

2017-08-18T09:30:43

Smok_bmv

Manual testing

2⁶⁵

2⁶⁶

10.69

-

-

2020-01-10T19:45:14

Gordon Spence

Manual testing

2⁶⁶

2⁶⁷

21.37

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.169 GHz-days
Estimated T-Level:	25.742

Digits	B1	Curves	Complete	FacMiss
20	11000	338 / 100	3.380	3.347%
25	50000	338 / 280	1.207	29.841%
30	250000	95 / 640	0.148	86.195%

New Calculation Method

Total ECM effort:	17.169 GHz-days
Estimated T-Level:	25.742

Digits	B1	Complete	FacMiss
20	11000	15.793	0.000%
25	50000	1.870	15.412%
30	250000	0.169	84.433%
35	1000000	0.012	98.762%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		243	5.480
250000	25000000		79	8.908
250000	25000000	258220679546373278432731447	4	0.451
250000	38500000		7	0.940
250000	128992510		5	1.390

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-28T15:59:00	Chad Davis	Bayes	50000	5000000						1	0.023
2007-12-22T02:27:00	kar_bon	Home_XP3	50000	5000000						1	0.023
2007-12-22T04:46:00	kar_bon	Home_XP3	50000	5000000						1	0.023
2008-05-19T00:51:00	arnaud	chamot24	50000	5000000						3	0.068
2008-10-31T10:49:00	Sturle Sunde	v1	50000	5000000						3	0.068
2009-01-26T20:12:00	Sturle Sunde	v21	50000	5000000						3	0.068
2009-03-27T01:58:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-07-01T19:33:00	Architects Cubed	m1_44	50000	5000000						3	0.068
2009-07-12T08:33:00	Architects Cubed	m1_05	50000	5000000						3	0.068
2009-09-06T19:09:00	Sturle Sunde	TOR-ST-0027	50000	5000000						3	0.068
2009-10-09T01:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2009-11-01T19:24:00	Sturle Sunde	PRE6S33KN9ZE3B5	50000	5000000						3	0.068
2009-11-24T06:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2009-12-20T21:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-01-15T19:18:00	James Hintz	11_122109	50000	5000000						3	0.068
2010-02-02T04:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-02-22T06:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-03-19T19:05:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-04-08T17:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-04-29T04:33:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-05-21T21:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-06-15T18:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-07-18T21:49:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.068
2010-08-20T20:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-09-10T16:31:00	Sturle Sunde	0020ED7F6D0F	50000	5000000						3	0.068
2010-10-03T09:37:00	James Hintz	06_122109	50000	5000000						3	0.068
2010-10-19T11:03:00	sannerud.com	Jim2010	50000	5000000						3	0.068
2010-11-06T17:23:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.068
2010-11-28T04:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-12-12T20:29:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-01-04T16:05:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-01-20T20:14:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-02-07T07:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-02-24T17:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-03-10T20:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-03-30T07:12:00	James Hintz	06_122109	50000	5000000						3	0.068
2011-04-26T20:38:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.068
2011-05-16T16:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-06-03T02:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-07-02T16:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-08-01T01:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-09-10T21:05:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.068
2011-11-27T05:44:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.068
2012-01-30T19:55:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.068
2012-03-18T22:02:00	Sturle Sunde	TOR-ST-0035	50000	5000000						3	0.068
2012-06-17T02:53:00	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.068
2012-09-10T00:06:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.068
2013-04-24T23:22:00	Sturle Sunde	PRECZB3140ZD8	50000	5000000						3	0.068
2013-11-30T18:06:00	Bruce	bfc-ws	50000	5000000						3	0.068
2014-03-29T21:28:00	Bruce	snowflake	50000	5000000						3	0.068
2014-04-02T03:54:00	Bruce	snowflake	50000	5000000						3	0.068
2015-05-22T01:06:00	Nacnud	Calculator	50000	5000000						3	0.068
2015-11-06T04:17:42	Nacnud	Calculator	50000	5000000						3	0.068
2016-01-26T18:39:09	LocTite	Orion	50000	5000000						3	0.068
2016-03-27T07:25:39	lettp	Home	50000	5000000						3	0.068
2016-05-17T07:32:22	ANONYMOUS	C272CE75B	50000	5000000						3	0.068
2016-05-20T14:54:50	TJAOI	Manual testing	50000	5000000						34	0.767
2016-06-30T19:53:26	raman22feb1988	Manual testing	250000	128992510						5	1.390
2016-09-23T23:00:37	westicles	Manual testing	50000	5000000						46	1.037
2016-09-24T07:23:26	westicles	Manual testing	50000	5000000						1	0.023
2017-04-24T06:58:41	James Gardiner		250000	25000000						3	0.338
2017-12-03T10:44:56	Bruce	Desk9	250000	25000000						3	0.338
2019-05-24T13:16:27	TJAOI	Manual testing	250000	25000000						38	4.285
2021-04-19T11:56:34	ANONYMOUS	LINUX-Felicia	250000	25000000						7	0.789
2021-05-28T17:32:53	GAN	N-31	250000	25000000						7	0.789
2021-06-23T14:13:03	LaurV	trabi	250000	25000000						7	0.789
2021-08-25T03:07:39	LaurV	Manual testing	250000	25000000						7	0.789
2021-10-15T08:30:04	Luminescence	Main	250000	38500000						7	0.940
2021-10-26T17:06:20	Stefan G. Hoffmann	PC-SGH-2020-AWOW-4	250000	25000000						7	0.789
2021-12-17T23:42:55	mnd9	75203	250000	25000000	258220679546373278432731447	87.739	4	2	611876846319084	4	0.451

date	userid	compid	res64	spent (GHz-days)
2015-04-11T15:44:00	MadPoo	Manual testing	95035AB9815B67__	0.014

date

userid

compid

res64

spent (GHz-days)

2015-04-11T15:44:00

MadPoo

Manual testing

95035AB9815B67__

0.014

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