M1539983 Mersenne number exponent details

Residue

Status

L-L

515D0BE098244819

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	19.2950	68.6567%	10000000	200000000	1.3181	9.7184%	20.6131	71.7028%	3.0461%
PrimeNet	2⁵⁷	0.0125	63.1579%	6500	110000	0.0008	2.4174%	0.0133	64.0485%	0.8906%
GPU72	2⁶¹	0.1995	65.5738%	6500	55000	0.0006	1.0157%	0.2001	65.9234%	0.3497%
Difference	+6	+19.0955	+3.0829%	+9993500	+199945000	+1.3175	+8.7027%	+20.4130	+5.7793%	+5.7793%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

19.2950

68.6567%

10000000

200000000

1.3181

9.7184%

20.6131

71.7028%

3.0461%

PrimeNet

2⁵⁷

0.0125

63.1579%

6500

110000

0.0008

2.4174%

0.0133

64.0485%

0.8906%

GPU72

2⁶¹

0.1995

65.5738%

6500

55000

0.0006

1.0157%

0.2001

65.9234%

0.3497%

Difference

+19.0955

+3.0829%

+9993500

+199945000

+1.3175

+8.7027%

+20.4130

+5.7793%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1539983	795402370171323214202054297	27	89.362	258250373598709600756 2² × 19 × 569 × 5971935380600999	2015-12-11	569	5971935380600999	152,531,345	21,072,969	39,358,438

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1539983

795402370171323214202054297

89.362

258250373598709600756
2² × 19 × 569 × 5971935380600999

2015-12-11

569

5971935380600999

152,531,345

21,072,969

39,358,438

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	20000	290000		-		-	-	0.002	-	-	0.992%
2011-02-02T10:51:00	James Heinrich	WHS	80000	1340000		-		-	-	0.010	-	-	2.196%
2013-11-22T18:09:00	David Campeau	i5-2500k	945000	27405000		-		-	-	0.155	-	-	5.944%
2015-03-20T13:59:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.318	-	-	9.718%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-10-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.012	-	-
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.025	-	-
2010-04-28T13:20:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.100	-	-
2010-05-12T20:11:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.036	-	-
2015-02-10T03:44:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.275	-	-
2015-02-10T03:44:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.426	-	-
2015-10-11T16:52:40	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.852	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

15.807 GHz-days

Digits	B1	Curves	Complete	FacMiss
20	11000	283 / 100	2.830	5.818%
25	50000	283 / 280	1.011	36.330%

New Calculation Method

Total ECM effort:

15.807 GHz-days

Digits	B1	Complete	FacMiss
20	11000	9.129	0.011%
25	50000	0.825	43.820%
30	250000	0.051	95.046%
35	1000000	0.002	99.768%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	15.64
50000	5000000	795402370171323214202054297	3	0.168

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-02-25T22:02:00	Team_Bundu	bundu3	50000	5000000						3	0.168
2009-04-21T06:17:00	Conductor	home	50000	5000000						3	0.168
2010-02-18T18:35:00	Reaver	Tinka_2010	50000	5000000						3	0.168
2011-05-08T17:55:00	Lukasz Wrobel	w-s	50000	5000000						3	0.168
2012-11-15T15:14:00	Donna Noble	q8200v2	50000	5000000						3	0.168
2013-09-10T13:50:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2014-03-12T06:56:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2014-12-31T18:57:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2015-07-07T23:42:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2015-12-11T16:23:15	Bruce	Desk7	50000	5000000	795402370171323214202054297	89.362	3	2		3	0.168
2016-01-15T21:19:05	VictordeHollander	Manual testing	50000	5000000						253	14.13

date	userid	compid	res64	spent (GHz-days)
1998-11-14T00:00:00	ANONYMOUS	v4_computers	515D0BE098244819	0.069
2015-07-21T00:18:00	MadPoo	Manual testing	515D0BE098244819	0.069

date

userid

compid

res64

spent (GHz-days)

1998-11-14T00:00:00

ANONYMOUS

v4_computers

515D0BE098244819

0.069

2015-07-21T00:18:00

MadPoo

Manual testing

515D0BE098244819

0.069

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 = 945000, B2 = 27405000 (P-1 stage 2)

B1 = 945000 (P-1 stage 1)

B1 = 80000, B2 = 1340000 (P-1 stage 2)

B1 = 80000 (P-1 stage 1)

B1 = 20000, B2 = 290000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

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