M1915733 Mersenne number exponent details

Residue

Status

L-L

8E1C395C784CA889

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	2⁶⁷	15.5105	68.6567%	8000000	320000000	1.9665	10.4703%	17.4769	71.9384%	3.2817%
PrimeNet	2⁵⁷	0.0100	63.1579%	9000	170000	0.0014	3.0916%	0.0114	64.2969%	1.1390%
GPU72	2⁶¹	0.1603	65.5738%	10000	170000	0.0015	1.7608%	0.1618	66.1799%	0.6062%
Difference	+6	+15.3501	+3.0829%	+7990000	+319830000	+1.9650	+8.7095%	+17.3151	+5.7585%	+5.7585%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.5105

68.6567%

8000000

320000000

1.9665

10.4703%

17.4769

71.9384%

3.2817%

PrimeNet

2⁵⁷

0.0100

63.1579%

9000

170000

0.0014

3.0916%

0.0114

64.2969%

1.1390%

GPU72

2⁶¹

0.1603

65.5738%

10000

170000

0.0015

1.7608%

0.1618

66.1799%

0.6062%

Difference

+15.3501

+3.0829%

+7990000

+319830000

+1.9650

+8.7095%

+17.3151

+5.7585%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1915733	3944406559194187094224948783264607	34	111.603	1029477113771644350811138291 528509 × 1294087 × 7566739 × 198926243	2017-12-17	7566739	198926243	6.811e+10	1.4153	1.5923

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1915733

3944406559194187094224948783264607

111.603

1029477113771644350811138291
528509 × 1294087 × 7566739 × 198926243

2017-12-17

7566739

198926243

6.811e+10

1.4153

1.5923

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-08-15T12:45:00	kurly	slice	1000000	30000000		-		-	-	0.203	-	-	6.224%
2017-12-17T16:24:14	mikr	S063	8000000	320000000	12		3944406559194187094224948783264607	34	111.603	1.966	0.208	3.933	10.470%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:58	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.060	-	-
2009-05-31T10:43:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.080	-	-
2016-02-23T16:28:58	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.160	-	-
2011-07-17T18:55:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.833	-	-
2016-02-23T16:28:58	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.512	-	-
2015-05-16T20:58:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.025	-	-
2015-05-16T20:58:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	1.950	-	-
2015-09-02T13:37:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.901	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.970 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:	20.970 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.829	0.015%
25	50000	0.785	45.631%
30	250000	0.049	95.252%
35	1000000	0.002	99.776%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	2.708
50000	8000000		212	18.26

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-07T16:29:00	Jorge Flora	PC_PN03	50000	5000000						3	0.208
2009-08-01T09:24:00	SubPrime	mysql0	50000	5000000						3	0.208
2010-12-09T09:07:00	Csaba Vágó	timigep	50000	5000000						3	0.208
2012-11-01T13:12:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.208
2013-11-27T05:59:00	Andy Incline	Office-PC	50000	5000000						3	0.208
2014-12-08T13:57:00	Chris Smith	starcraft2	50000	5000000						3	0.208
2015-08-22T01:32:00	Sergiosi	Manual testing	50000	5000000						15	1.041
2017-07-30T20:24:19	Bruce	Desk6	50000	5000000						3	0.208
2017-12-12T13:44:25	Bruce	Desk6	50000	5000000						3	0.208
2022-01-18T14:10:46	TJAOI	Manual testing	50000	8000000						212	18.26

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	8E1C395C784CA889	0.104
2015-07-14T15:04:00	MadPoo	Manual testing	8E1C395C784CA889	0.104

date

userid

compid

res64

spent (GHz-days)

1998-12-21T00:00:00

ANONYMOUS

v4_computers

8E1C395C784CA889

0.104

2015-07-14T15:04:00

MadPoo

Manual testing

8E1C395C784CA889

0.104

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-12-19T22:59:20

Oliver Kruse

GTX-3

3944406559194187094224948783264607

2DE2FADCCFB8BD__

2017-12-20T08:53:00

kkmrkkblmbrbk

c4.xlarge

3944406559194187094224948783264607

2DE2FADCCFB8BD__

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 8000000, B2 = 320000000 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁵

10⁶

10⁷

10⁸

10⁹

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