M4609489 Mersenne number exponent details

Residue

Status

L-L

E6E4F7C0EEEAB3B7

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	2⁷²	207.4706	68.0556%	1988203	61634303	1.0000	5.3332%	208.4706	69.7592%	1.7037%
PrimeNet	2⁶¹	0.0666	62.2951%	19000	400000	0.0076	3.0769%	0.0742	63.4552%	1.1601%
GPU72	2⁶⁵	1.5828	64.6154%	28000	600000	0.0113	2.1878%	1.5941	65.3895%	0.7741%
Difference	+7	+205.8879	+3.4402%	+1960203	+61034303	+0.9887	+3.1454%	+206.8766	+4.3697%	+4.3697%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷²

207.4706

68.0556%

1988203

61634303

1.0000

5.3332%

208.4706

69.7592%

1.7037%

PrimeNet

2⁶¹

0.0666

62.2951%

19000

400000

0.0076

3.0769%

0.0742

63.4552%

1.1601%

GPU72

2⁶⁵

1.5828

64.6154%

28000

600000

0.0113

2.1878%

1.5941

65.3895%

0.7741%

Difference

+205.8879

+3.4402%

+1960203

+61034303

+0.9887

+3.1454%

+206.8766

+4.3697%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-08-26T11:29:00	Carsten Kossendey	durandal	25000	375000		-		-	-	0.008	-	-	0.678%
2012-01-21T14:55:00	Squeeky_Squirrel	T7500_2200	110000	2035000		-		-	-	0.041	-	-	1.680%
2017-12-07T12:35:27	Ismo Laitela	6600K	1988203	61634303	12	-		-	-	1.000	-	-	5.333%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.067	-	-
2010-08-06T06:00:00	markr	ut	2⁶¹	2⁶²		-	-	0.067	-	-
2011-12-09T05:23:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.346	-	-
2016-02-23T16:38:56	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.213	-	-
2015-01-17T21:47:00	Jayder	Manual testing	2⁶³	2⁶⁴		-	-	0.426	-	-
2015-01-18T16:40:00	monst	Manual testing	2⁶⁴	2⁶⁵		-	-	0.811	-	-
2015-07-04T23:47:00	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.621	-	-
2018-05-01T20:29:04	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	3.242	-	-
2018-09-29T01:29:25	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	6.485	-	-
2021-03-22T11:29:17	-Anonymous-	Manual testing	2⁶⁸	2⁶⁹		-	-	12.97	-	-
2021-03-22T11:29:17	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	25.94	-	-
2021-03-22T11:29:17	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	51.88	-	-
2021-03-24T11:27:14	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	103.8	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.766 GHz-days
Estimated T-Level:	0.450

Digits	B1	Curves	Complete	FacMiss
20	11000	9 / 100	0.090	91.352%
25	50000	9 / 280	0.032	96.831%

New Calculation Method

Total ECM effort:	1.766 GHz-days
Estimated T-Level:	0.450

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	1.766

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-05-05T10:11:00	Aca Arsov	backo6400	50000	5000000						3	0.589
2013-07-24T11:18:00	exhopp	9007	50000	5000000						3	0.589
2016-12-12T14:28:31	bayanne	iMac	50000	5000000						3	0.589

date	userid	compid	res64	spent (GHz-days)
2015-11-14T18:09:13	MadPoo	Manual testing	E6E4F7C0EEEAB3B7	0.607

date

userid

compid

res64

spent (GHz-days)

2015-11-14T18:09:13

MadPoo

Manual testing

E6E4F7C0EEEAB3B7

0.607

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 = 1988203, B2 = 61634303 (P-1 stage 2)

B1 = 1988203 (P-1 stage 1)

B1 = 110000, B2 = 2035000 (P-1 stage 2)

B1 = 110000 (P-1 stage 1)

B1 = 25000, B2 = 375000 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

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