M1822981 Mersenne number exponent details

Residue

Status

L-L

FB7842A37B790174

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	2⁷¹	262.2508	70.4225%	1822981	182298100	0.9169	6.2132%	263.1677	72.2602%	1.8377%
PrimeNet	2⁵⁷	0.0105	63.1579%	8000	150000	0.0012	2.8770%	0.0118	64.2179%	1.0600%
GPU72	2⁶¹	0.1685	65.5738%	9000	130000	0.0012	1.5584%	0.1697	66.1103%	0.5365%
Difference	+10	+262.0823	+4.8488%	+1813981	+182168100	+0.9156	+4.6548%	+262.9980	+6.1500%	+6.1500%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

262.2508

70.4225%

1822981

182298100

0.9169

6.2132%

263.1677

72.2602%

1.8377%

PrimeNet

2⁵⁷

0.0105

63.1579%

8000

150000

0.0012

2.8770%

0.0118

64.2179%

1.0600%

GPU72

2⁶¹

0.1685

65.5738%

9000

130000

0.0012

1.5584%

0.1697

66.1103%

0.5365%

Difference

+10

+262.0823

+4.8488%

+1813981

+182168100

+0.9156

+4.6548%

+262.9980

+6.1500%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1822981	53311625515622424712439	23	75.497	14622101249443199 37 × 53 × 2879 × 2589944921	2020-07-19	2879	2589944921	8,230.6	11.100	20.731

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1822981

53311625515622424712439

75.497

14622101249443199
37 × 53 × 2879 × 2589944921

2020-07-19

2879

2589944921

8,230.6

11.100

20.731

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-02-09T16:51:00	Carsten Kossendey	leela	100000	1675000		-		-	-	0.015	-	-	1.524%
2014-05-19T21:00:00	Jocelyn Larouche	Manual testing	135208	135208		-		-	-	0.011	-	-	0.607%
2014-09-22T21:00:00	Jocelyn Larouche	Manual testing	170416	170416		-		-	-	0.013	-	-	0.698%
2015-06-08T17:35:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	5.819%
2018-08-21T18:27:41	Jocelyn Larouche	low 4M	1822981	182298100	12	-		-	-	0.917	-	-	6.213%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2011-02-09T16:51:00

Carsten Kossendey

leela

100000

1675000

0.015

-

-

1.524%

2014-05-19T21:00:00

Jocelyn Larouche

Manual testing

135208

0.011

-

-

0.607%

2014-09-22T21:00:00

Jocelyn Larouche

Manual testing

170416

0.013

-

-

0.698%

2015-06-08T17:35:00

mikr

MSI

2780000

91760000

0.600

-

-

5.819%

2018-08-21T18:27:41

Jocelyn Larouche

low 4M

1822981

182298100

0.917

-

-

6.213%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:28:53	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.084	-	-
2010-04-11T14:32:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.084	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.169	-	-
2011-01-21T16:10:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.875	-	-
2016-02-23T16:28:53	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.538	-	-
2011-05-07T06:36:00	Xyzzy	Manual testing	2⁶³	2⁶⁴		-	-	1.077	-	-
2011-05-07T06:36:00	Xyzzy	Manual testing	2⁶⁴	2⁶⁵		-	-	2.050	-	-
2014-01-04T17:24:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	4.099	-	-
2014-01-04T17:24:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	8.198	-	-
2014-01-04T17:24:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	16.40	-	-
2014-01-04T17:24:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	32.79	-	-
2014-01-04T17:24:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	65.59	-	-
2015-11-13T09:29:33	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	131.2	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.216 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:	18.216 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.321	0.024%
25	50000	0.753	47.098%
30	250000	0.046	95.459%
35	1000000	0.002	99.787%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		147	10.15
50000	5000000	53311625515622424712439	3	0.207
50000	6600000		101	7.860

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-06T04:04:00	Scott Kurowski	HomeOffice	50000	5000000						3	0.207
2009-07-17T10:24:00	SubPrime	pitr	50000	5000000						3	0.207
2010-11-04T09:21:00	Lupo	yorick	50000	5000000						3	0.207
2012-05-14T11:34:00	OS1	L3	50000	5000000						3	0.207
2013-08-05T09:29:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-04-24T18:34:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-09-24T21:38:00	mikr	MSI	50000	5000000						12	0.828
2016-05-25T22:46:52	Bruce	DESK3	50000	5000000						3	0.207
2016-08-28T08:30:57	Bruce	DESK3	50000	5000000						3	0.207
2016-11-07T12:58:49	Bruce	DESK3	50000	5000000						3	0.207
2017-01-07T01:52:28	Bruce	DESK3	50000	5000000						3	0.207
2017-04-27T20:05:00	ANONYMOUS	Worker	50000	5000000						3	0.207
2017-11-28T06:35:59	Bruce	DESK3	50000	5000000						3	0.207
2018-02-03T01:39:11	Bruce	DESK3	50000	5000000						3	0.207
2019-11-22T04:25:32	Nesowa	6700T	50000	5000000						3	0.207
2019-11-24T05:05:19	wazuma	G751	50000	5000000						3	0.207
2019-11-25T17:00:13	George Woltman	colab	50000	5000000						3	0.207
2019-12-02T04:13:35	Nesowa	entropy_generator_2	50000	5000000						3	0.207
2019-12-02T20:50:15	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-06T19:43:41	Alvin Bunk	i7-Core	50000	5000000						3	0.207
2019-12-11T15:08:04	Brett Walker	brain	50000	5000000						3	0.207
2019-12-16T10:57:42	mnd9	touchdown	50000	5000000						3	0.207
2019-12-22T02:29:44	mnd9	50871b	50000	5000000						3	0.207
2019-12-28T20:39:12	mnd9	colab2	50000	5000000						3	0.207
2020-01-01T20:05:37	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2020-01-07T22:59:12	Nesowa	entropy_generator_2	50000	5000000						3	0.207
2020-01-21T12:15:19	mnd9	75201	50000	5000000						3	0.207
2020-01-28T04:00:52	mnd9	25836b	50000	5000000						3	0.207
2020-02-05T16:09:40	EricP	Cannonfodder	50000	5000000						3	0.207
2020-02-13T16:57:29	mnd9	75201b	50000	5000000						3	0.207
2020-02-21T05:16:35	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2020-02-27T18:51:23	mnd9	75201b	50000	5000000						3	0.207
2020-03-01T08:39:21	DevilDawg93	Old_gaming_comp	50000	5000000						3	0.207
2020-03-05T08:16:17	mnd9	50869b	50000	5000000						3	0.207
2020-03-12T10:01:35	mnd9	75201b	50000	5000000						3	0.207
2020-03-19T18:55:28	daveward2005	Davy	50000	5000000						3	0.207
2020-04-13T18:29:57	EricP	Cannonfodder	50000	5000000						3	0.207
2020-04-24T12:44:19	mnd9	office2	50000	5000000						3	0.207
2020-05-02T07:27:10	daveward2005	MW	50000	5000000						3	0.207
2020-05-13T23:23:40	mnd9	25836b	50000	5000000						3	0.207
2020-05-30T06:42:05	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2020-06-17T10:30:57	mnd9	50871b	50000	5000000						3	0.207
2020-06-19T19:04:19	lycorn	colab_S	50000	5000000						3	0.207
2020-06-30T13:19:29	lycorn	colab_A	50000	5000000						3	0.207
2020-07-07T01:10:37	GAN	OSB-01	50000	5000000						3	0.207
2020-07-13T09:46:06	GAN	OSB-01	50000	5000000						3	0.207
2020-07-19T06:14:08	GAN	LMS-17	50000	5000000	53311625515622424712439	75.497	3	2	8017068070697865	3	0.207
2021-04-23T12:18:23	TJAOI	Manual testing	50000	6600000						101	7.860

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	FB7842A37B790174	0.099
2015-06-27T00:54:00	MadPoo	Manual testing	FB7842A37B790174	0.099

date

userid

compid

res64

spent (GHz-days)

1998-12-21T00:00:00

ANONYMOUS

v4_computers

FB7842A37B790174

0.099

2015-06-27T00:54:00

MadPoo

Manual testing

FB7842A37B790174

0.099

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