M1779689 Mersenne number exponent details

Residue

Status

L-L

2AC760850079C591

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	2⁶⁸	33.4917	69.1176%	1779689	195765790	0.9714	8.0412%	34.4631	71.6010%	2.4833%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8114%	0.0120	64.1937%	1.0358%
GPU72	2⁶¹	0.1726	65.5738%	8000	130000	0.0012	1.4916%	0.1738	66.0873%	0.5135%
Difference	+7	+33.3191	+3.5439%	+1771689	+195635790	+0.9702	+6.5496%	+34.2894	+5.5137%	+5.5137%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

33.4917

69.1176%

1779689

195765790

0.9714

8.0412%

34.4631

71.6010%

2.4833%

PrimeNet

2⁵⁷

0.0108

63.1579%

8000

140000

0.0012

2.8114%

0.0120

64.1937%

1.0358%

GPU72

2⁶¹

0.1726

65.5738%

8000

130000

0.0012

1.4916%

0.1738

66.0873%

0.5135%

Difference

+33.3191

+3.5439%

+1771689

+195635790

+0.9702

+6.5496%

+34.2894

+5.5137%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1779689	31885437122467976939240473	26	84.721	8958148621042209324 2² × 3 × 19 × 263 × 149392112284741	2020-07-16	263	149392112284741	2,698,901	640,257	1,195,822

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1779689

31885437122467976939240473

84.721

8958148621042209324
2² × 3 × 19 × 263 × 149392112284741

2020-07-16

263

149392112284741

2,698,901

640,257

1,195,822

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-02-07T12:41:00	Carsten Kossendey	leela	95000	1615000		-		-	-	0.014	-	-	2.157%
2014-04-10T20:52:00	ANONYMOUS	Manual testing	100000	100000		-		-	-	0.008	-	-	0.772%
2014-05-09T20:32:00	Jocelyn Larouche	Manual testing	136065	136065		-		-	-	0.011	-	-	0.924%
2014-09-19T20:39:00	Jocelyn Larouche	Manual testing	172130	172130		-		-	-	0.014	-	-	1.051%
2015-05-26T13:59:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.332%
2018-07-04T11:51:47	Jocelyn Larouche	low 4M	1779689	177968900	12	-		-	-	0.895	-	-	7.933%
2018-10-19T12:14:52	Jocelyn Larouche	low 4M	1779689	195765790	12	-		-	-	0.971	-	-	8.041%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2011-02-07T12:41:00

Carsten Kossendey

leela

95000

1615000

0.014

-

-

2.157%

2014-04-10T20:52:00

ANONYMOUS

Manual testing

100000

0.008

-

-

0.772%

2014-05-09T20:32:00

Jocelyn Larouche

Manual testing

136065

0.011

-

-

0.924%

2014-09-19T20:39:00

Jocelyn Larouche

Manual testing

172130

0.014

-

-

1.051%

2015-05-26T13:59:00

mikr

MSI

2475400

86660000

0.556

-

-

7.332%

2018-07-04T11:51:47

Jocelyn Larouche

low 4M

1779689

177968900

0.895

-

-

7.933%

2018-10-19T12:14:52

Jocelyn Larouche

low 4M

1779689

195765790

0.971

-

-

8.041%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.065	-	-
2010-04-22T12:47:00	Architects Cubed	m1_tt	2⁶⁰	2⁶¹		-	-	0.086	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.173	-	-
2010-10-04T14:39:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.897	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.552	-	-
2015-05-08T09:00:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.103	-	-
2015-05-08T09:00:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.099	-	-
2015-09-11T08:33:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.199	-	-
2018-03-26T15:08:39	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.398	-	-
2019-06-17T12:15:02	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.80	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.283 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.283 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		248	17.08
50000	5000000	31885437122467976939240473	3	0.207

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-21T21:57:00	Scott Kurowski	UW2	50000	5000000						3	0.207
2009-07-07T00:33:00	SubPrime	abd0	50000	5000000						3	0.207
2010-10-08T19:03:00	Lupo	yorick	50000	5000000						3	0.207
2012-02-16T06:50:00	sbalamut	steve	50000	5000000						3	0.207
2013-06-13T11:11:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-02-17T21:50:00	Bruce	snowflake	50000	5000000						3	0.207
2015-02-09T10:15:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2015-09-18T04:22:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-01-24T16:35:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-03-27T17:07:06	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-05-10T18:00:01	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-08-07T15:39:46	Bruce	DESK3	50000	5000000						3	0.207
2016-10-14T04:11:41	Bruce	DESK3	50000	5000000						3	0.207
2016-12-16T09:01:44	Bruce	DESK3	50000	5000000						3	0.207
2017-03-29T06:48:24	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-10-02T01:58:51	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2018-01-10T06:59:03	Bruce	DESK3	50000	5000000						3	0.207
2019-05-15T03:50:32	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2019-11-19T00:54:58	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-11-21T09:12:33	arnaud	PORTABLE08	50000	5000000						3	0.207
2019-11-24T00:10:31	Corey	Computer	50000	5000000						3	0.207
2019-11-25T05:43:59	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-11-30T15:49:13	DRMEDESY	hm02	50000	5000000						3	0.207
2019-12-01T11:09:01	Alvin Bunk	i7-Core	50000	5000000						3	0.207
2019-12-09T18:43:12	J.R. Allen	lapdell	50000	5000000						3	0.207
2019-12-11T18:48:15	TheJudger	Sinope	50000	5000000						3	0.207
2019-12-14T15:18:34	mnd9	colab	50000	5000000						3	0.207
2019-12-19T07:39:00	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-12-25T20:10:34	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2019-12-30T16:50:22	IanGlencross	glenx24	50000	5000000						3	0.207
2020-01-04T15:41:10	TheJudger	myECM	50000	5000000						3	0.207
2020-01-21T03:57:49	Claude Portenier	Petit-Idiot	50000	5000000						3	0.207
2020-01-25T01:37:17	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2020-02-02T19:08:12	David_McCann	i5	50000	5000000						3	0.207
2020-02-11T09:01:51	Keysarecool	i9	50000	5000000						3	0.207
2020-02-18T06:48:56	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2020-02-25T11:30:21	mnd9	75201b	50000	5000000						3	0.207
2020-03-03T12:25:03	mnd9	kitchen	50000	5000000						3	0.207
2020-03-09T22:32:18	mnd9	25836b	50000	5000000						3	0.207
2020-03-14T10:16:59	mnd9	office2	50000	5000000						3	0.207
2020-03-17T08:56:04	mnd9	75201b	50000	5000000						3	0.207
2020-03-27T11:36:42	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2020-04-08T15:20:39	mnd9	libproj	50000	5000000						3	0.207
2020-04-21T16:29:36	daveward2005	MW	50000	5000000						3	0.207
2020-04-29T06:26:08	MarkS	desktop-i7	50000	5000000						3	0.207
2020-05-10T10:56:54	mnd9	50871b	50000	5000000						3	0.207
2020-05-23T19:16:06	mnd9	75203	50000	5000000						3	0.207
2020-06-14T14:13:47	Bommer	3900X	50000	5000000						3	0.207
2020-06-27T03:03:39	debrouxl	8rd	50000	5000000						3	0.207
2020-07-04T17:33:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2020-07-11T00:14:07	GAN	LMS-15	50000	5000000						3	0.207
2020-07-16T19:00:20	GAN	LMS-02	50000	5000000	31885437122467976939240473	84.721	3	2	5726816821167700	3	0.207
2020-10-16T08:08:54	TJAOI	Manual testing	50000	5000000						95	6.541

date	userid	compid	res64	spent (GHz-days)
1999-01-02T00:00:00	ANONYMOUS	v4_computers	2AC760850079C591	0.097
2015-07-18T18:31:00	MadPoo	Manual testing	2AC760850079C591	0.097

date

userid

compid

res64

spent (GHz-days)

1999-01-02T00:00:00

ANONYMOUS

v4_computers

2AC760850079C591

0.097

2015-07-18T18:31:00

MadPoo

Manual testing

2AC760850079C591

0.097

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