M1119907 Mersenne number exponent details

Residue

Status

L-L

EC9F98FBD9C4090C

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	426.8911	70.4225%	5000000	200000000	0.6715	6.6184%	427.5625	72.3801%	1.9576%
PrimeNet	2⁵⁶	0.0086	62.5000%	4500	70000	0.0003	2.0813%	0.0089	63.2805%	0.7805%
GPU72	2⁶⁰	0.1371	65.0000%	4500	22000	0.0002	0.6867%	0.1374	65.2403%	0.2403%
Difference	+11	+426.7539	+5.4225%	+4995500	+199978000	+0.6712	+5.9317%	+427.4252	+7.1398%	+7.1398%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

426.8911

70.4225%

5000000

200000000

0.6715

6.6184%

427.5625

72.3801%

1.9576%

PrimeNet

2⁵⁶

0.0086

62.5000%

4500

70000

0.0003

2.0813%

0.0089

63.2805%

0.7805%

GPU72

2⁶⁰

0.1371

65.0000%

4500

22000

0.0002

0.6867%

0.1374

65.2403%

0.2403%

Difference

+11

+426.7539

+5.4225%

+4995500

+199978000

+0.6712

+5.9317%

+427.4252

+7.1398%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1119907	431439029553759955817	21	68.548	192622704186044 2² × 11 × 6427 × 681155863	2017-06-02	6427	681155863	68.983	1.5952	2.9788

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1119907

431439029553759955817

68.548

192622704186044
2² × 11 × 6427 × 681155863

2017-06-02

6427

681155863

68.983

1.5952

2.9788

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-12-01T00:00:00	Matt	v4_computers	15000	221250		-		-	-	0.001	-	-	0.404%
2012-11-02T03:19:00	kurly	smile	500000	10000000		-		-	-	0.044	-	-	2.943%
2015-03-18T06:18:00	mikr	MSI	5000000	200000000		-		-	-	0.671	-	-	6.618%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2001-12-01T00:00:00

Matt

v4_computers

15000

221250

0.001

-

-

0.404%

2012-11-02T03:19:00

kurly

smile

500000

10000000

0.044

-

-

2.943%

2015-03-18T06:18:00

mikr

MSI

5000000

200000000

0.671

-

-

6.618%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2016-02-23T16:28:22	Mark Rose	Manual testing	2⁵⁷	2⁶⁰		-	-	0.120	-	-
2009-02-19T17:14:00	Sturle Sunde	gorky.ifi	2⁶⁰	2⁶¹		-	-	0.137	-	-
2011-09-26T13:35:00	Bdot	Manual testing	2⁶¹	2⁶⁴		-	-	2.904	-	-
2013-10-16T18:45:00	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	3.336	-	-
2014-02-22T13:32:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	6.673	-	-
2014-02-22T13:32:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	13.35	-	-
2014-02-22T13:32:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	26.69	-	-
2014-02-22T13:32:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹	MISSED FACTOR!	-	-	53.38	-	-
2014-02-22T13:32:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	106.8	-	-
2014-04-01T16:51:00	Never Odd Or Even	Manual testing	2⁷⁰	2⁷¹		-	-	213.5	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.679 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.679 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.731	0.000%
25	50000	1.349	25.941%
30	250000	0.108	89.793%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		278	9.81
50000	5000000	431439029553759955817	3	0.106
250000	25000000		44	7.763

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-05T13:34:00	Chad Davis	Bayes	50000	5000000						1	0.035
2008-05-09T13:27:00	Scott Kurowski	LM-Dell4600	50000	5000000						3	0.106
2008-12-16T20:32:00	Sturle Sunde	v21	50000	5000000						3	0.106
2009-05-26T19:47:00	Geoff Wing	GW1	50000	5000000						3	0.106
2009-09-12T02:28:00	symallad	old_laptop	50000	5000000						3	0.106
2009-12-10T15:50:00	Geoff Wing	GW1	50000	5000000						3	0.106
2010-05-21T01:52:00	ClknGo Software Corp	cngs1	50000	5000000						3	0.106
2011-01-24T02:09:00	MrDeath	Epsilon	50000	5000000						3	0.106
2011-10-21T00:53:00	Andriy Makukha	freehost	50000	5000000						3	0.106
2012-07-06T15:08:00	SWL551	THOR	50000	5000000						3	0.106
2012-10-28T05:22:00	ANONYMOUS		50000	5000000						3	0.106
2013-06-27T02:37:00	OS1	Tina	50000	5000000						3	0.106
2013-12-15T07:40:00	OS1	Tina	50000	5000000						3	0.106
2014-03-03T09:50:00	Bruce	snowflake	50000	5000000						3	0.106
2014-05-03T22:38:00	OS1	Tina	50000	5000000						3	0.106
2015-03-06T05:58:00	Bruce	desk16	50000	5000000						3	0.106
2015-03-26T23:47:00	OS1	Tina	50000	5000000						3	0.106
2015-06-20T07:03:00	OS1	Tina	50000	5000000						3	0.106
2015-10-07T03:08:44	Jason U	Dell-Win7	50000	5000000						3	0.106
2016-01-20T10:16:47	Fastspiky	Home	50000	5000000						3	0.106
2016-03-24T09:28:45	arnaud	ATTAX15	50000	5000000						3	0.106
2016-04-27T01:04:36	Samuel Schmidt	School-Lab12	50000	5000000						3	0.106
2016-05-05T03:36:11	Jason U	Dell-Win7	50000	5000000						3	0.106
2016-06-08T12:13:26	raman22feb1988	Gokul_Nath	50000	5000000						3	0.106
2016-08-04T12:41:47	raman22feb1988	Nithya	50000	5000000						3	0.106
2016-11-18T16:08:07	Bruce	Desk9	50000	5000000						3	0.106
2017-03-23T13:24:36	OS1	Tina	50000	5000000						3	0.106
2017-06-02T16:29:40	TJAOI	Manual testing	50000	5000000						61	2.152
2017-06-02T16:29:40	TJAOI	Manual testing	50000	5000000	431439029553759955817	68.548	3	2		3	0.106
2018-04-20T14:11:16	TJAOI	Manual testing	50000	5000000						138	4.870
2020-10-09T08:34:04	TJAOI	Manual testing	250000	25000000						44	7.763

date	userid	compid	res64	spent (GHz-days)
2001-12-01T00:00:00	Matt	v4_computers	EC9F98FBD9C4090C	0.033
2016-06-01T18:48:28	MadPoo	Manual testing	EC9F98FBD9C4090C	0.033

date

userid

compid

res64

spent (GHz-days)

2001-12-01T00:00:00

Matt

v4_computers

EC9F98FBD9C4090C

0.033

2016-06-01T18:48:28

MadPoo

Manual testing

EC9F98FBD9C4090C

0.033

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