M1842523 Mersenne number exponent details

Residue

Status

L-L

E98D811CFEEB9CFC

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	32.3496	69.1176%	1842523	184252300	0.9267	8.0275%	33.2763	71.5967%	2.4791%
PrimeNet	2⁵⁷	0.0104	63.1579%	8000	150000	0.0012	2.8828%	0.0117	64.2200%	1.0621%
GPU72	2⁶¹	0.1667	65.5738%	9000	140000	0.0013	1.5968%	0.1680	66.1235%	0.5497%
Difference	+7	+32.1829	+3.5439%	+1833523	+184112300	+0.9254	+6.4307%	+33.1083	+5.4732%	+5.4732%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

32.3496

69.1176%

1842523

184252300

0.9267

8.0275%

33.2763

71.5967%

2.4791%

PrimeNet

2⁵⁷

0.0104

63.1579%

8000

150000

0.0012

2.8828%

0.0117

64.2200%

1.0621%

GPU72

2⁶¹

0.1667

65.5738%

9000

140000

0.0013

1.5968%

0.1680

66.1235%

0.5497%

Difference

+32.1829

+3.5439%

+1833523

+184112300

+0.9254

+6.4307%

+33.1083

+5.4732%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-02-07T12:29:00	Carsten Kossendey	leela	100000	1700000		-		-	-	0.015	-	-	2.220%
2014-05-19T21:01:00	Jocelyn Larouche	Manual testing	134835	134835		-		-	-	0.011	-	-	0.925%
2014-09-23T20:52:00	Jocelyn Larouche	Manual testing	169670	169670		-		-	-	0.013	-	-	1.050%
2015-07-12T02:52:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	7.495%
2018-08-06T14:03:30	Jocelyn Larouche	low 4M	1842523	184252300	12	-		-	-	0.927	-	-	8.028%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2011-02-07T12:29:00

Carsten Kossendey

leela

100000

1700000

0.015

-

-

2.220%

2014-05-19T21:01:00

Jocelyn Larouche

Manual testing

134835

0.011

-

-

0.925%

2014-09-23T20:52:00

Jocelyn Larouche

Manual testing

169670

0.013

-

-

1.050%

2015-07-12T02:52:00

mikr

MSI

2780000

91760000

0.600

-

-

7.495%

2018-08-06T14:03:30

Jocelyn Larouche

low 4M

1842523

184252300

0.927

-

-

8.028%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:54	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.063	-	-
2010-04-09T12:50:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.083	-	-
2016-02-23T16:28:54	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.167	-	-
2011-01-21T16:11:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.866	-	-
2016-02-23T16:28:54	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.533	-	-
2015-04-27T21:09:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.066	-	-
2015-04-27T21:09:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.028	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.056	-	-
2017-12-04T13:35:48	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.111	-	-
2019-06-24T09:36:01	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.22	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.078 GHz-days
Estimated T-Level:	24.929

Digits	B1	Curves	Complete	FacMiss
20	11000	276 / 100	2.760	6.242%
25	50000	276 / 280	0.986	37.251%

New Calculation Method

Total ECM effort:	19.078 GHz-days
Estimated T-Level:	24.929

Digits	B1	Complete	FacMiss
20	11000	10.615	0.002%
25	50000	0.982	37.448%
30	250000	0.062	93.993%
35	1000000	0.003	99.711%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		276	19.08

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-11T12:11:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-18T15:17:00	James Hintz	08_071509	50000	5000000						3	0.207
2010-11-19T22:39:00	Lupo	yorick	50000	5000000						3	0.207
2012-06-11T00:11:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.207
2013-09-03T21:02:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-05-18T04:14:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-11-28T09:37:00	mikr	MSI	50000	5000000						12	0.829
2016-06-03T16:24:56	Bruce	DESK3	50000	5000000						3	0.207
2016-09-09T19:30:38	Bruce	DESK3	50000	5000000						3	0.207
2016-11-17T14:24:19	Bruce	DESK3	50000	5000000						3	0.207
2017-01-15T20:42:22	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-06-22T08:26:41	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-12-14T10:13:42	Bruce	DESK3	50000	5000000						3	0.207
2018-02-13T15:19:36	Bruce	DESK3	50000	5000000						3	0.207
2019-11-24T09:13:36	J.R. Allen	lapdell	50000	5000000						3	0.207
2019-11-25T21:11:17	George Woltman	colab	50000	5000000						3	0.207
2019-11-29T14:42:37	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-03T02:34:43	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-06T21:01:33	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-12-11T13:07:23	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-20T09:23:15	mnd9	50871b	50000	5000000						3	0.207
2019-12-22T03:01:22	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2019-12-28T14:41:31	J.R. Allen	lapdell	50000	5000000						3	0.207
2020-01-02T04:26:23	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.207
2020-01-08T09:08:29	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2020-01-28T10:15:29	mnd9	75204b	50000	5000000						3	0.207
2020-02-06T06:34:27	EricP	Cannonfodder	50000	5000000						3	0.207
2020-02-14T01:31:18	mnd9	office2	50000	5000000						3	0.207
2020-02-24T03:37:56	Nesowa	6700T	50000	5000000						3	0.207
2020-02-26T18:18:01	mnd9	75202b	50000	5000000						3	0.207
2020-02-28T00:43:31	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-03-06T02:15:42	kracker	O0	50000	5000000						3	0.207
2020-03-13T00:27:09	mnd9	25836b	50000	5000000						3	0.207
2020-03-20T03:45:38	EricP	Cannonfodder	50000	5000000						3	0.207
2020-04-01T08:22:52	mnd9	eileen	50000	5000000						3	0.207
2020-04-14T16:16:58	mnd9	eileen	50000	5000000						3	0.207
2020-04-25T04:48:37	nordi	sweet16	50000	5000000						3	0.207
2020-05-03T06:16:47	Akmal Sultonov	4260U	50000	5000000						3	0.207
2020-05-14T15:10:03	Ryan Propper	Manual testing	50000	5000000						150	10.37
2020-06-01T01:45:13	mnd9	27016	50000	5000000						3	0.207

date	userid	compid	res64	spent (GHz-days)
1999-05-30T00:00:00	ANONYMOUS	v4_computers	E98D811CFEEB9CFC	0.100
2015-06-27T00:56:00	MadPoo	Manual testing	E98D811CFEEB9CFC	0.100

date

userid

compid

res64

spent (GHz-days)

1999-05-30T00:00:00

ANONYMOUS

v4_computers

E98D811CFEEB9CFC

0.100

2015-06-27T00:56:00

MadPoo

Manual testing

E98D811CFEEB9CFC

0.100

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