M1592923 Mersenne number exponent details

Residue

Status

L-L

F3FE2C8AE962D016

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	18.6537	68.6567%	10000000	200000000	1.3181	9.7470%	19.9718	71.7118%	3.0550%
PrimeNet	2⁵⁷	0.0121	63.1579%	7000	120000	0.0009	2.5459%	0.0129	64.0959%	0.9380%
GPU72	2⁶¹	0.1928	65.5738%	6500	60000	0.0006	1.0553%	0.1935	65.9371%	0.3633%
Difference	+6	+18.4609	+3.0829%	+9993500	+199940000	+1.3175	+8.6917%	+19.7784	+5.7747%	+5.7747%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

18.6537

68.6567%

10000000

200000000

1.3181

9.7470%

19.9718

71.7118%

3.0550%

PrimeNet

2⁵⁷

0.0121

63.1579%

7000

120000

0.0009

2.5459%

0.0129

64.0959%

0.9380%

GPU72

2⁶¹

0.1928

65.5738%

6500

60000

0.0006

1.0553%

0.1935

65.9371%

0.3633%

Difference

+18.4609

+3.0829%

+9993500

+199940000

+1.3175

+8.6917%

+19.7784

+5.7747%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1592923	301187787896331667066969	24	77.995	94539343049328708 2² × 3² × 701 × 6197 × 604519849	2016-11-10	6197	604519849	28,149	2.1335	3.9841

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1592923

301187787896331667066969

77.995

94539343049328708
2² × 3² × 701 × 6197 × 604519849

2016-11-10

6197

604519849

28,149

2.1335

3.9841

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-03T18:15:00	James Heinrich	WHS	85000	1445000		-		-	-	0.010	-	-	2.278%
2013-11-24T18:57:00	David Campeau	i5-2500k	980000	28420000		-		-	-	0.160	-	-	6.027%
2015-04-25T17:28:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.318	-	-	9.747%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-10-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.012	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.024	-	-
2016-02-23T16:28:40	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.072	-	-
2010-05-10T13:40:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.096	-	-
2016-02-23T16:28:40	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.193	-	-
2010-06-29T03:37:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.002	-	-
2016-02-23T16:28:40	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.616	-	-
2015-03-04T11:02:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.233	-	-
2015-03-04T11:02:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.346	-	-
2015-10-11T16:52:58	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.691	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.066 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:	14.066 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		248	13.90
50000	5000000	301187787896331667066969	3	0.168

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-03-22T19:53:00	Steve Scott	Sue	50000	5000000						3	0.168
2009-05-12T19:53:00	Lupo	yorick	50000	5000000						3	0.168
2010-03-21T09:36:00	James Classen	towerofart	50000	5000000						3	0.168
2011-10-16T02:28:00	S36049	Wolle5	50000	5000000						3	0.168
2012-12-31T19:28:00	S00030	mac399	50000	5000000						3	0.168
2013-10-25T10:06:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2014-06-02T01:55:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2015-03-07T23:23:00	codest	aliyun	50000	5000000						3	0.168
2015-09-29T00:36:52	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2016-01-12T09:10:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2016-03-13T08:34:45	Bruce	DESK3	50000	5000000						3	0.168
2016-04-23T06:48:06	Bruce	DESK3	50000	5000000						3	0.168
2016-06-20T02:04:08	Bruce	DESK3	50000	5000000						3	0.168
2016-09-10T06:19:14	Bruce	test	50000	5000000						3	0.168
2016-11-10T06:05:59	Bruce	DESK3	50000	5000000	301187787896331667066969	77.995	3	2		3	0.168
2019-09-23T15:15:32	TJAOI	Manual testing	50000	5000000						206	11.54

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	F3FE2C8AE962D016	0.071
2015-07-10T01:00:00	MadPoo	Manual testing	F3FE2C8AE962D016	0.071

date

userid

compid

res64

spent (GHz-days)

1998-12-13T00:00:00

ANONYMOUS

v4_computers

F3FE2C8AE962D016

0.071

2015-07-10T01:00:00

MadPoo

Manual testing

F3FE2C8AE962D016

0.071

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 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 980000, B2 = 28420000 (P-1 stage 2)

B1 = 980000 (P-1 stage 1)

B1 = 85000, B2 = 1445000 (P-1 stage 2)

B1 = 85000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

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