M15463649 Mersenne number exponent details

Residue

Status

L-L

B1665C2A6AD50454

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	1.9215	64.1791%	180000	2700000	0.2307	4.1398%	2.1523	65.6620%	1.4829%
PrimeNet	2⁶⁵	0.4718	63.0769%	70000	2200000	0.1353	4.2974%	0.6071	64.6636%	1.5867%
GPU72	2⁶⁹	7.7205	65.2174%	110000	2800000	0.1866	3.1096%	7.9071	66.2990%	1.0816%
Difference	-2	-5.7989	-1.0383%	+70000	-100000	+0.0442	+1.0302%	-5.7548	-0.6370%	-0.6370%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.9215

64.1791%

180000

2700000

0.2307

4.1398%

2.1523

65.6620%

1.4829%

PrimeNet

2⁶⁵

0.4718

63.0769%

70000

2200000

0.1353

4.2974%

0.6071

64.6636%

1.5867%

GPU72

2⁶⁹

7.7205

65.2174%

110000

2800000

0.1866

3.1096%

7.9071

66.2990%

1.0816%

Difference

-2

-5.7989

-1.0383%

+70000

-100000

+0.0442

+1.0302%

-5.7548

-0.6370%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15463649	740408620430693946617	21	69.327	23940294442492 2² × 107 × 55935267389	2016-12-14	107	55935267389	15.138	2,216.2	4,139.2

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

15463649

740408620430693946617

69.327

23940294442492
2² × 107 × 55935267389

2016-12-14

107

55935267389

15.138

2,216.2

4,139.2

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-04-20T00:00:00	ANONYMOUS	v4_computers	180000	2700000		-		-	-	0.231	-	-	4.140%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-14T00:00:00	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-03-11T00:00:00	cmorton	v4_computers	2¹	2⁶⁵		-	-	0.472	-	-
2016-03-16T02:28:39	Mark Rose	Manual testing	2⁶⁵	2⁶⁶		-	-	0.483	-	-
2014-02-23T00:22:00	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.966	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.763 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.763 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	740408620430693946617	1	0.763

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-12-14T21:11:39	ATH	ec2-8x	50000	5000000	740408620430693946617	69.327	1	2		1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-05-11T00:00:00	ANONYMOUS	v4_computers	7AD3DA8E04045F__	7.755
2004-10-03T00:00:00	Architects Cubed	v4_computers	B1665C2A6AD50454	7.755
2006-02-15T00:00:00	ANONYMOUS	v4_computers	B1665C2A6AD50454	7.755

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 = 180000, B2 = 2700000 (P-1 stage 2)

B1 = 180000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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