M5015987 Mersenne number exponent details

Residue

Status

L-L

68E48AF5A284F829

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	5.9238	65.6716%	55000	907500	0.0204	2.2219%	5.9442	66.4344%	0.7627%
PrimeNet	2⁶¹	0.0612	62.2951%	22000	450000	0.0091	3.3150%	0.0703	63.5450%	1.2499%
GPU72	2⁶⁵	1.4545	64.6154%	34000	700000	0.0141	2.4173%	1.4686	65.4707%	0.8554%
Difference	+2	+4.4694	+1.0563%	+21000	+207500	+0.0063	-0.1954%	+4.4756	+0.9636%	+0.9636%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

5.9238

65.6716%

55000

907500

0.0204

2.2219%

5.9442

66.4344%

0.7627%

PrimeNet

2⁶¹

0.0612

62.2951%

22000

450000

0.0091

3.3150%

0.0703

63.5450%

1.2499%

GPU72

2⁶⁵

1.4545

64.6154%

34000

700000

0.0141

2.4173%

1.4686

65.4707%

0.8554%

Difference

+4.4694

+1.0563%

+21000

+207500

+0.0063

-0.1954%

+4.4756

+0.9636%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5015987	739215714727193648033	21	69.325	73685967958768 2⁴ × 11² × 29063 × 1309601	2010-07-05	29063	1309601	24.255	0.0199	0.0268

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

5015987

739215714727193648033

69.325

73685967958768
2⁴ × 11² × 29063 × 1309601

2010-07-05

29063

1309601

24.255

0.0199

0.0268

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	0.000	-	-	0.030%
2009-07-15T22:21:00	harlee	P4_2600	55000	907500		-		-	-	0.020	-	-	2.222%

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		739215714727193648033	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-07-05T17:19:00	alan145	Bear4			739215714727193648033	69.325		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-06-14T00:00:00	Joel Armengaud	v4_computers	68E48AF5A284F829	0.695
2000-08-01T00:00:00	korva	v4_computers	68E48AF5A284F829	0.695

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-22T01:38:18

Oliver Kruse

GTX-1

739215714727193648033

6F9F4EE46E1922__

2018-01-13T19:01:33

kkmrkkblmbrbk

old

739215714727193648033

6F9F4EE46E1922__

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 = 55000, B2 = 907500 (P-1 stage 2)

B1 = 55000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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