M6323197 Mersenne number exponent details

Residue

Status

L-L

A7F28DD9D8C8A71D

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	4.6992	65.6716%	35000	481250	0.0152	1.7596%	4.7144	66.2757%	0.6040%
PrimeNet	2⁶²	0.0972	62.9032%	26000	600000	0.0147	3.3583%	0.1119	64.1490%	1.2458%
GPU72	2⁶⁶	2.3356	65.1515%	45000	1000000	0.0249	2.5676%	2.3605	66.0463%	0.8948%
Difference	+1	+2.3636	+0.5201%	-10000	-518750	-0.0097	-0.8080%	+2.3539	+0.2294%	+0.2294%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

4.6992

65.6716%

35000

481250

0.0152

1.7596%

4.7144

66.2757%

0.6040%

PrimeNet

2⁶²

0.0972

62.9032%

26000

600000

0.0147

3.3583%

0.1119

64.1490%

1.2458%

GPU72

2⁶⁶

2.3356

65.1515%

45000

1000000

0.0249

2.5676%

2.3605

66.0463%

0.8948%

Difference

+2.3636

+0.5201%

-10000

-518750

-0.0097

-0.8080%

+2.3539

+0.2294%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6323197	511383803549867210449	21	68.793	40437124096392 2³ × 3² × 561626723561	2011-10-31	9	561626723561	12.152	7,863.1	14,686

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

6323197

511383803549867210449

68.793

40437124096392
2³ × 3² × 561626723561

2011-10-31

561626723561

12.152

7,863.1

14,686

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-06-14T21:44:00	Carsten Kossendey	leela	35000	481250		-		-	-	0.015	-	-	1.760%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-06-20T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.097	-	-

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
		511383803549867210449	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2011-10-31T09:53:00	JimBa	Dell			511383803549867210449	68.793		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-11-28T00:00:00	BigBrother	v4_computers	EEC1B023276FB3__	1.121
1999-09-22T00:00:00	ANONYMOUS	v4_computers	A7F28DD9D8C8A71D	1.121
2001-05-13T00:00:00	ANONYMOUS	v4_computers	A7F28DD9D8C8A71D	1.121

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-26T15:00:04

kkmrkkblmbrbk

c4.xlarge

511383803549867210449

D3B766C08E7B71__

2018-09-27T03:12:31

ANONYMOUS

511383803549867210449

D3B766C08E7B71__

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 = 35000, B2 = 481250 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁷

2⁶²

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