M1780283 Mersenne number exponent details

Residue

Status

L-L

CCC68F7250170376

double-checked

PRP

0371162DFD36DA35

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	2⁶⁸	33.4806	69.1176%	3169952	195831130	1.0751	8.4652%	34.5556	71.7319%	2.6143%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8116%	0.0120	64.1937%	1.0358%
GPU72	2⁶¹	0.1725	65.5738%	8000	130000	0.0012	1.4917%	0.1737	66.0873%	0.5135%
Difference	+7	+33.3080	+3.5439%	+3161952	+195701130	+1.0739	+6.9735%	+34.3819	+5.6446%	+5.6446%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

33.4806

69.1176%

3169952

195831130

1.0751

8.4652%

34.5556

71.7319%

2.6143%

PrimeNet

2⁵⁷

0.0108

63.1579%

8000

140000

0.0012

2.8116%

0.0120

64.1937%

1.0358%

GPU72

2⁶¹

0.1725

65.5738%

8000

130000

0.0012

1.4917%

0.1737

66.0873%

0.5135%

Difference

+33.3080

+3.5439%

+3161952

+195701130

+1.0739

+6.9735%

+34.3819

+5.6446%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1780283	121959761567293705561879	24	76.691	34252914162325233 3 × 347 × 7607 × 4325470759	2022-08-05	7607	4325470759	17,031	18.538	34.624

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1780283

121959761567293705561879

76.691

34252914162325233
3 × 347 × 7607 × 4325470759

2022-08-05

7607

4325470759

17,031

18.538

34.624

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-02-09T16:50:00	Carsten Kossendey	leela	95000	1615000		-		-	-	0.014	-	-	2.158%
2012-11-23T07:05:00	Sergiosi	Manual testing	2000000	10000000		-		-	-	0.192	-	-	4.781%
2018-01-14T10:12:26	Jocelyn Larouche	low 4M	3169952	10000000	12	-		-	-	0.279	-	-	4.885%
2018-02-04T14:17:58	Jocelyn Larouche	low 4M	3169952	20000000	12	-		-	-	0.321	-	-	5.710%
2018-02-08T12:52:28	Jocelyn Larouche	low 4M	3169952	40000000	12	-		-	-	0.407	-	-	6.541%
2018-02-18T12:32:54	Jocelyn Larouche	low 4M	3169952	80000000	12	-		-	-	0.579	-	-	7.378%
2018-06-19T11:36:54	Jocelyn Larouche	low 4M	3169952	178028300	12	-		-	-	0.999	-	-	8.349%
2018-10-19T12:14:55	Jocelyn Larouche	low 4M	3169952	195831130	12	-		-	-	1.075	-	-	8.465%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2011-02-09T16:50:00

Carsten Kossendey

leela

95000

1615000

0.014

-

-

2.158%

2012-11-23T07:05:00

Sergiosi

Manual testing

2000000

10000000

0.192

-

-

4.781%

2018-01-14T10:12:26

Jocelyn Larouche

low 4M

3169952

10000000

0.279

-

-

4.885%

2018-02-04T14:17:58

Jocelyn Larouche

low 4M

3169952

20000000

0.321

-

-

5.710%

2018-02-08T12:52:28

Jocelyn Larouche

low 4M

3169952

40000000

0.407

-

-

6.541%

2018-02-18T12:32:54

Jocelyn Larouche

low 4M

3169952

80000000

0.579

-

-

7.378%

2018-06-19T11:36:54

Jocelyn Larouche

low 4M

3169952

178028300

0.999

-

-

8.349%

2018-10-19T12:14:55

Jocelyn Larouche

low 4M

3169952

195831130

1.075

-

-

8.465%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-08-05T12:41:27	masser	Manual testing	1600000	1600000	192	13	121959761567293705561879	P+1	24	76.691	0.191

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2022-08-05T12:41:27

masser

Manual testing

1600000

192

121959761567293705561879

P+1

76.691

0.191

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	-	-
2010-04-18T22:56:00	Architects Cubed	m1_76l	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		-	-	0.896	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.551	-	-
2015-05-14T12:16:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.103	-	-
2015-05-14T12:16:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.099	-	-
2015-09-12T12:52:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.198	-	-
2018-03-12T16:50:49	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.395	-	-
2019-08-06T10:06:02	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.79	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.454 GHz-days
Estimated T-Level:	24.786

Digits	B1	Curves	Complete	FacMiss
20	11000	268 / 100	2.680	6.764%
25	50000	268 / 280	0.957	38.333%

New Calculation Method

Total ECM effort:	18.454 GHz-days
Estimated T-Level:	24.786

Digits	B1	Complete	FacMiss
20	11000	10.308	0.003%
25	50000	0.954	38.530%
30	250000	0.060	94.162%
35	1000000	0.003	99.719%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		268	18.45

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-19T18:33:00	Scott Kurowski	UW1	50000	5000000						3	0.207
2009-07-07T09:00:00	SubPrime	abd0	50000	5000000						3	0.207
2010-10-05T18:50:00	Mistel		50000	5000000						3	0.207
2012-02-13T10:18:00	S36049	Wolle5	50000	5000000						3	0.207
2013-06-14T06:03:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-02-18T07:40:00	Bruce	snowflake	50000	5000000						3	0.207
2015-02-10T03:45:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2015-09-19T08:19:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-01-25T12:30:21	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-03-27T23:38:45	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-05-10T21:57:23	Bruce	DESK3	50000	5000000						3	0.207
2016-08-07T22:28:11	Bruce	DESK3	50000	5000000						3	0.207
2016-10-14T10:43:07	Bruce	DESK3	50000	5000000						3	0.207
2016-12-16T17:37:02	Bruce	DESK3	50000	5000000						3	0.207
2017-03-30T00:57:36	ANONYMOUS	Worker	50000	5000000						3	0.207
2017-10-03T09:28:21	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2018-01-10T17:19:14	Bruce	DESK3	50000	5000000						3	0.207
2019-05-27T09:58:41	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2019-11-19T06:43:39	mnd9	50869	50000	5000000						3	0.207
2019-11-22T01:04:26	Corey	Computer	50000	5000000						3	0.207
2019-11-23T14:49:02	mnd9	50869b	50000	5000000						3	0.207
2019-11-25T07:31:24	daveward2005	Davy	50000	5000000						3	0.207
2019-11-27T17:12:23	-Anonymous-		50000	5000000						3	0.207
2019-12-02T05:26:43	mnd9	50871b	50000	5000000						3	0.207
2019-12-05T08:17:23	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-10T21:12:27	Claude Portenier	Petit-Idiot	50000	5000000						3	0.207
2019-12-16T10:15:43	DRMEDESY	hm02	50000	5000000						3	0.207
2019-12-19T12:50:10	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2019-12-25T16:07:01	IanGlencross	glenx24	50000	5000000						3	0.207
2019-12-30T17:01:38	MarkS	desktop-i7	50000	5000000						3	0.207
2020-01-04T17:54:00	TheJudger	myECM	50000	5000000						3	0.207
2020-01-12T05:46:45	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-01-19T14:15:45	EricP	Cannonfodder	50000	5000000						3	0.207
2020-01-24T23:40:00	daveward2005	Davy	50000	5000000						3	0.207
2020-02-02T16:29:31	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2020-02-11T10:09:14	EricP	Cannonfodder	50000	5000000						3	0.207
2020-02-18T22:54:08	Nesowa	entropy_generator_2	50000	5000000						3	0.207
2020-02-25T14:36:07	mnd9	75201b	50000	5000000						3	0.207
2020-03-03T16:15:31	Naegi Makoto	1700	50000	5000000						3	0.207
2020-03-10T00:54:13	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-03-17T15:26:44	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-03-30T01:32:07	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2020-04-08T20:30:32	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2020-04-22T10:52:47	mnd9	50871b	50000	5000000						3	0.207
2020-04-29T22:22:07	mnd9	50871b	50000	5000000						3	0.207
2020-05-09T23:10:18	mnd9	221Rb	50000	5000000						3	0.207
2020-05-24T02:37:12	Akmal Sultonov	8400	50000	5000000						3	0.207
2020-06-12T17:55:56	GAN	KL-SCH01	50000	5000000						3	0.207
2020-06-28T02:17:39	LaurV	3tits	50000	5000000						3	0.207
2020-07-06T11:27:26	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.207
2020-07-11T04:58:47	GAN	LMS-06	50000	5000000						3	0.207
2020-07-17T11:04:34	mnd9	kitchen	50000	5000000						3	0.207
2020-07-23T05:02:46	GAN	OSB-02	50000	5000000						3	0.207
2020-07-30T00:48:03	-Anonymous-	aws	50000	5000000						3	0.207
2020-08-12T19:26:16	mnd9	50871b	50000	5000000						3	0.207
2020-08-15T09:37:03	rextherunt	ice	50000	5000000						3	0.207
2020-09-08T06:39:25	MarkS	desktop-i7	50000	5000000						7	0.482
2020-10-11T22:55:18	lycorn	colab_D_1	50000	5000000						7	0.482
2020-11-06T10:15:55	TJAOI	Manual testing	50000	5000000						86	5.922

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	CCC68F7250170376	0.097
2015-07-18T18:31:00	MadPoo	Manual testing	CCC68F7250170376	0.097

date

userid

compid

res64

spent (GHz-days)

1998-12-13T00:00:00

ANONYMOUS

v4_computers

CCC68F7250170376

0.097

2015-07-18T18:31:00

MadPoo

Manual testing

CCC68F7250170376

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