M2569459 Mersenne number exponent details

Residue

Status

L-L

C9681A711CEA8F47

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	2⁶⁹	46.4638	68.1159%	3200000	112000000	0.9180	7.4491%	47.3818	70.4910%	2.3751%
PrimeNet	2⁵⁹	0.0299	62.7119%	11000	200000	0.0021	2.6890%	0.0320	63.7146%	1.0027%
GPU72	2⁶³	0.6211	65.0794%	12000	190000	0.0022	1.5041%	0.6233	65.6046%	0.5252%
Difference	+6	+45.8426	+3.0366%	+3188000	+111810000	+0.9158	+5.9451%	+46.7585	+4.8864%	+4.8864%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁹

46.4638

68.1159%

3200000

112000000

0.9180

7.4491%

47.3818

70.4910%

2.3751%

PrimeNet

2⁵⁹

0.0299

62.7119%

11000

200000

0.0021

2.6890%

0.0320

63.7146%

1.0027%

GPU72

2⁶³

0.6211

65.0794%

12000

190000

0.0022

1.5041%

0.6233

65.6046%

0.5252%

Difference

+45.8426

+3.0366%

+3188000

+111810000

+0.9158

+5.9451%

+46.7585

+4.8864%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2014-10-05T22:25:00	Jocelyn Larouche	Manual testing	124980	124980		-		-	-	0.013	-	-	0.818%
2015-05-07T19:56:00	Squeeky_Squirrel	P4_2600	180000	5535000		-		-	-	0.047	-	-	3.044%
2016-04-19T21:45:31	Jocelyn Larouche	Manual testing	475282	16437147	12	-		-	-	0.135	-	-	4.395%
2016-06-05T01:59:36	mikr	MSI	3200000	112000000	12	-		-	-	0.918	-	-	7.449%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2014-10-05T22:25:00

Jocelyn Larouche

Manual testing

124980

0.013

-

-

0.818%

2015-05-07T19:56:00

Squeeky_Squirrel

P4_2600

180000

5535000

0.047

-

-

3.044%

2016-04-19T21:45:31

Jocelyn Larouche

Manual testing

475282

16437147

0.135

-

-

4.395%

2016-06-05T01:59:36

mikr

MSI

3200000

112000000

0.918

-

-

7.449%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-04-13T00:00:00	lozcs	v4_computers	2¹	2⁵⁹		-	-	0.030	-	-
2016-02-23T16:29:16	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.030	-	-
2009-01-29T20:55:00	Sturle Sunde	hindemith.ifi	2⁶⁰	2⁶¹		-	-	0.060	-	-
2012-06-17T18:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.120	-	-
2013-02-21T00:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.382	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.764	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.454	-	-
2015-11-08T21:03:03	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.908	-	-
2017-08-13T10:39:20	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.817	-	-
2019-04-01T13:34:43	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.63	-	-
2021-06-17T12:14:06	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	23.27	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.907 GHz-days
Estimated T-Level:	22.786

Digits	B1	Curves	Complete	FacMiss
20	11000	157 / 100	1.570	20.641%
25	50000	156 / 280	0.557	57.227%

New Calculation Method

Total ECM effort:	14.907 GHz-days
Estimated T-Level:	22.786

Digits	B1	Complete	FacMiss
20	11000	6.127	0.218%
25	50000	0.567	56.706%
30	250000	0.036	96.480%
35	1000000	0.002	99.832%

ECM Summary

B1	B2	curves	GHz-days
47000	4700000	1	0.087
50000	5000000	128	11.82
50000	6750000	7	0.742
50000	6892375	7	0.750
50000	7000000	14	1.512

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-12-20T23:30:00	Rob_Dee	twopc	50000	5000000						1	0.092
2009-12-26T05:22:00	ANONYMOUS	fn-asterisk	50000	5000000						3	0.277
2011-01-24T08:19:00	James Hintz	17_051310	50000	5000000						3	0.277
2013-04-29T14:36:00	KAMCOBILL	PC20	50000	5000000						3	0.277
2015-03-19T12:33:00	Jason U	Server7	50000	5000000						3	0.277
2016-02-10T18:23:40	Bruce	Desk8	50000	5000000						3	0.277
2016-04-30T19:59:31	Jason U	Server7	50000	5000000						3	0.277
2016-10-18T13:34:08	Ensigma	vps_sing	50000	5000000						3	0.277
2017-07-06T12:37:11	Bruce	eleven	50000	5000000						3	0.277
2017-11-05T10:08:25	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2018-05-13T07:44:06	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2019-04-30T15:15:31	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2020-06-27T01:50:30	mnd9	25836b	50000	5000000						3	0.277
2020-07-04T00:26:45	GAN	LMS-08	50000	5000000						3	0.277
2020-07-11T00:43:11	mnd9	office2	50000	5000000						3	0.277
2020-07-16T12:36:06	lycorn	colab_A	50000	5000000						3	0.277
2020-07-22T21:47:58	Ahmed Azhad	c5.4xlarge.azf	50000	5000000						3	0.277
2020-07-30T05:26:42	GAN	AC-KL	50000	5000000						3	0.277
2020-08-06T07:27:45	GAN	XPS	50000	5000000						3	0.277
2020-08-14T19:55:35	mnd9	libproj	50000	5000000						3	0.277
2020-09-05T23:20:49	mnd9	kitchen	50000	5000000						7	0.646
2020-10-08T07:22:27	mnd9	f4	50000	5000000						7	0.646
2020-11-05T00:29:53	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.646
2020-12-10T20:43:25	Peredron	Peredron2	47000	4700000						1	0.087
2020-12-17T16:00:33	Denis Porva	Yrok	50000	5000000						7	0.646
2021-01-19T00:13:38	lycorn	colab_ES_1	50000	6750000						7	0.742
2021-02-18T21:05:58	Zenzoma	AM3700X_1	50000	5000000						7	0.646
2021-03-21T09:55:41	Zenzoma	AMD3970X	50000	5000000						7	0.646
2021-05-01T04:47:45	Zenzoma	AM3700X_1	50000	5000000						7	0.646
2021-08-01T08:36:29	RIHATEC	i7-3770K	50000	5000000						7	0.646
2021-08-19T12:12:35	Alvin Bunk	BADCAT	50000	5000000						7	0.646
2021-10-05T01:43:07	mnd9	50871b	50000	5000000						7	0.646
2022-03-12T15:40:03	Samuel Schmidt	arch	50000	6892375						7	0.750
2022-04-29T22:33:29	J.R. Allen	lapacer	50000	7000000						7	0.756
2022-05-08T04:22:00	J.R. Allen	Manual testing	50000	7000000						7	0.756

date	userid	compid	res64	spent (GHz-days)
1999-05-09T00:00:00	lozcs	v4_computers	C9681A711CEA8F47	0.178
2018-06-16T05:15:41	kkmrkkblmbrbk	old	C9681A711CEA8F47	0.178

date

userid

compid

res64

spent (GHz-days)

1999-05-09T00:00:00

lozcs

v4_computers

C9681A711CEA8F47

0.178

2018-06-16T05:15:41

kkmrkkblmbrbk

old

C9681A711CEA8F47

0.178

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