M1462891 Mersenne number exponent details

Residue

Status

L-L

DF733D9C247AA2FD

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	20.3118	68.6567%	500000	15000000	0.0714	4.9334%	20.3832	70.2030%	1.5463%
PrimeNet	2⁵⁶	0.0066	62.5000%	7000	120000	0.0007	2.9091%	0.0073	63.5909%	1.0909%
GPU72	2⁶⁰	0.1050	65.0000%	6500	90000	0.0006	1.3991%	0.1056	65.4897%	0.4897%
Difference	+7	+20.2068	+3.6567%	+493500	+14910000	+0.0708	+3.5343%	+20.2776	+4.7133%	+4.7133%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

20.3118

68.6567%

500000

15000000

0.0714

4.9334%

20.3832

70.2030%

1.5463%

PrimeNet

2⁵⁶

0.0066

62.5000%

7000

120000

0.0007

2.9091%

0.0073

63.5909%

1.0909%

GPU72

2⁶⁰

0.1050

65.0000%

6500

90000

0.0006

1.3991%

0.1056

65.4897%

0.4897%

Difference

+20.2068

+3.6567%

+493500

+14910000

+0.0708

+3.5343%

+20.2776

+4.7133%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1462891	4881076174927472775075812399	28	91.979	1668297971252633577989 11 × 43 × 617 × 661 × 2273 × 3889 × 978337	2009-01-26	3889	978337	358,313,365	0.0032	0.0055

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1462891

4881076174927472775075812399

91.979

1668297971252633577989
11 × 43 × 617 × 661 × 2273 × 3889 × 978337

2009-01-26

3889

978337

358,313,365

0.0032

0.0055

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	15000	243750		-		-	-	0.002	-	-	0.840%
2016-03-17T19:14:39	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 4881076174927472775075812399	-	-	0.071	-	-	4.933%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.026	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.573 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.573 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.651	19.189%
30	250000	0.141	86.866%
35	1000000	0.010	99.021%

ECM Summary

B1	B2	factor	curves	GHz-days
		4881076174927472775075812399	1	0.00000e+0
50000	5000000		251	11.90
250000	35000000		50	13.67

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-06T13:31:00	Steve Scott	Abit	50000	5000000						1	0.047
2008-12-19T10:30:00	dachshund	Ann	50000	5000000						3	0.142
2009-01-26T13:16:00	axn	Manual testing			4881076174927472775075812399	91.979		1		1	-
2018-11-25T13:43:53	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2019-04-12T15:21:01	TJAOI	Manual testing	50000	5000000						244	11.57
2022-03-10T10:40:17	TJAOI	Manual testing	250000	35000000						50	13.67

date	userid	compid	res64	spent (GHz-days)
1998-12-27T00:00:00	Dave Zook	v4_computers	DF733D9C247AA2FD	0.056
2002-05-05T00:00:00	Dave Zook	v4_computers	DF733D9C247AA2FD	0.056

date

userid

compid

res64

spent (GHz-days)

1998-12-27T00:00:00

Dave Zook

v4_computers

DF733D9C247AA2FD

0.056

2002-05-05T00:00:00

Dave Zook

v4_computers

DF733D9C247AA2FD

0.056

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T03:31:51

Oliver Kruse

GTX-3

4881076174927472775075812399

AAE3C24162E14C__

2017-10-27T23:46:04

kkmrkkblmbrbk

old

4881076174927472775075812399

AAE3C24162E14C__

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 15000, B2 = 243750 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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