M1352917 Mersenne number exponent details

Residue

Status

L-L

528F97351114CF8C

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	21.9629	68.6567%	500000	15000000	0.0714	4.8869%	22.0343	70.1884%	1.5317%
PrimeNet	2⁵⁶	0.0071	62.5000%	6000	100000	0.0006	2.6141%	0.0077	63.4803%	0.9803%
GPU72	2⁶⁰	0.1135	65.0000%	5500	40000	0.0004	0.9821%	0.1139	65.3437%	0.3437%
Difference	+7	+21.8493	+3.6567%	+494500	+14960000	+0.0710	+3.9048%	+21.9203	+4.8447%	+4.8447%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

21.9629

68.6567%

500000

15000000

0.0714

4.8869%

22.0343

70.1884%

1.5317%

PrimeNet

2⁵⁶

0.0071

62.5000%

6000

100000

0.0006

2.6141%

0.0077

63.4803%

0.9803%

GPU72

2⁶⁰

0.1135

65.0000%

5500

40000

0.0004

0.9821%

0.1139

65.3437%

0.3437%

Difference

+21.8493

+3.6567%

+494500

+14960000

+0.0710

+3.9048%

+21.9203

+4.8447%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1352917	153097781628947101511	21	67.053	56580626021015 5 × 23 × 1021 × 481885841	2009-04-30	1021	481885841	25.000	1.4535	2.7147

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1352917

153097781628947101511

67.053

56580626021015
5 × 23 × 1021 × 481885841

2009-04-30

1021

481885841

25.000

1.4535

2.7147

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	15000	217500		-		-	-	0.001	-	-	0.798%
2016-03-17T19:05:24	alpertron	Manual testing	500000	15000000	12	-		-	-	0.071	-	-	4.887%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.014	-	-
2003-07-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.028	-	-
2022-03-07T17:32:36	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.085	-	-
2009-02-21T01:52:00	Sturle Sunde	gibus.ifi	2⁶⁰	2⁶¹		-	-	0.114	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.165 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	300 / 100	3.000	4.904%
25	50000	300 / 280	1.071	34.186%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.165 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.615	0.000%
25	50000	1.647	19.258%
30	250000	0.141	86.886%
35	1000000	0.010	99.022%

ECM Summary

B1	B2	factor	curves	GHz-days
		153097781628947101511	1	0.00000e+0
50000	5000000		250	11.70
250000	35000000		50	13.47

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-12-25T07:18:00	Steve Scott	Asus-1	50000	5000000						1	0.047
2009-02-22T21:43:00	Smurgs	Praca	50000	5000000						3	0.140
2009-04-30T02:20:00	SubPrime	c2d0			153097781628947101511	67.053		1		1	-
2018-09-14T13:18:22	TJAOI	Manual testing	50000	5000000						246	11.51
2021-10-20T13:16:40	TJAOI	Manual testing	250000	35000000						50	13.47

date	userid	compid	res64	spent (GHz-days)
2010-03-17T00:00:00	Bruce A Metcalf	v4_computers	528F97351114CF8C	0.052

date

userid

compid

res64

spent (GHz-days)

2010-03-17T00:00:00

Bruce A Metcalf

v4_computers

528F97351114CF8C

0.052

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T07:56:07

Oliver Kruse

GTX-1

153097781628947101511

764EE8209223E7__

2017-10-24T16:05:40

kkmrkkblmbrbk

c4.xlarge

153097781628947101511

764EE8209223E7__

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 = 217500 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

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