M2482499 Mersenne number exponent details

Residue

Status

L-L

154E916710AA5B7C

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	11.9694	67.1642%	2382500	85770100	0.6965	8.1964%	12.6659	69.8555%	2.6913%
PrimeNet	2⁵⁹	0.0309	62.7119%	10000	180000	0.0019	2.5345%	0.0329	63.6569%	0.9451%
GPU72	2⁶³	0.6429	65.0794%	11000	160000	0.0019	1.3801%	0.6448	65.5613%	0.4819%
Difference	+4	+11.3265	+2.0848%	+2371500	+85610100	+0.6946	+6.8163%	+12.0211	+4.2942%	+4.2942%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

11.9694

67.1642%

2382500

85770100

0.6965

8.1964%

12.6659

69.8555%

2.6913%

PrimeNet

2⁵⁹

0.0309

62.7119%

10000

180000

0.0019

2.5345%

0.0329

63.6569%

0.9451%

GPU72

2⁶³

0.6429

65.0794%

11000

160000

0.0019

1.3801%

0.6448

65.5613%

0.4819%

Difference

+11.3265

+2.0848%

+2371500

+85610100

+0.6946

+6.8163%

+12.0211

+4.2942%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2482499	753682382800516082150395903	27	89.284	151799131198142694549 3² × 37 × 43 × 499 × 1033 × 1319 × 15592327	2014-11-05	1319	15592327	51,912,371	0.0856	0.1596

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2482499

753682382800516082150395903

89.284

151799131198142694549
3² × 37 × 43 × 499 × 1033 × 1319 × 15592327

2014-11-05

1319

15592327

51,912,371

0.0856

0.1596

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.290%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.919%
2010-11-20T12:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.313%
2011-01-21T07:01:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.679%
2014-09-02T00:10:00	Jocelyn Larouche	Manual testing	120855	120855		-		-	-	0.012	-	-	1.053%
2014-11-05T06:56:00	mikr	MSI	2382500	85770100	12		753682382800516082150395903	27	89.284	0.697	0.344	1.393	8.196%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2022-03-10T05:53:01	LordJulius	Manual testing	2¹	2⁶⁰		-	-	0.062	-	-
2009-01-14T14:49:00	Sturle Sunde	ghini.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-10T21:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-08-21T05:37:00	David Campeau	Manual testing	2⁶²	2⁶³		-	-	0.395	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.102 GHz-days
Estimated T-Level:	0.600

Digits	B1	Curves	Complete	FacMiss
20	11000	12 / 100	0.120	88.638%
25	50000	12 / 280	0.043	95.797%

New Calculation Method

Total ECM effort:	1.102 GHz-days
Estimated T-Level:	0.600

Digits	B1	Complete	FacMiss
20	11000	0.387	67.903%
25	50000	0.035	96.562%
30	250000	0.002	99.785%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		12	1.102

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-13T12:56:00	SubPrime	c2d0	50000	5000000						3	0.276
2010-03-25T20:34:00	James Classen	towerofart	50000	5000000						3	0.276
2012-06-10T03:51:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.276
2014-02-05T11:13:00	arnaud	srv-630	50000	5000000						3	0.276

date	userid	compid	res64	spent (GHz-days)
1999-11-10T00:00:00	ANONYMOUS	v4_computers	154E916710AA5B7C	0.172

date

userid

compid

res64

spent (GHz-days)

1999-11-10T00:00:00

ANONYMOUS

v4_computers

154E916710AA5B7C

0.172

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-14T04:47:27

Oliver Kruse

GTX-3

6A416933C415B5__

2017-11-29T12:00:23

ATH

ec2-1xf

753682382800516082150395903

6A416933C415B5__

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 120855 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

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