M2852429 Mersenne number exponent details

Residue

Status

L-L

099A44ECE99C8567

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	10.4171	67.1642%	2048	204800	0.0015	0.3020%	10.4185	67.2633%	0.0992%
PrimeNet	2⁵⁹	0.0269	62.7119%	13000	240000	0.0028	2.9933%	0.0298	63.8280%	1.1161%
GPU72	2⁶³	0.5595	65.0794%	16000	260000	0.0033	1.8293%	0.5628	65.7182%	0.6388%
Difference	+4	+9.8575	+2.0848%	-13952	-55200	-0.0018	-1.5273%	+9.8557	+1.5452%	+1.5452%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

10.4171

67.1642%

2048

204800

0.0015

0.3020%

10.4185

67.2633%

0.0992%

PrimeNet

2⁵⁹

0.0269

62.7119%

13000

240000

0.0028

2.9933%

0.0298

63.8280%

1.1161%

GPU72

2⁶³

0.5595

65.0794%

16000

260000

0.0033

1.8293%

0.5628

65.7182%

0.6388%

Difference

+9.8575

+2.0848%

-13952

-55200

-0.0018

-1.5273%

+9.8557

+1.5452%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2852429	73653979990415780927	20	65.997	12910747294747 19 × 149 × 49037 × 93001	2009-04-04	49037	93001	3.8205	0.0058	0.0112

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2852429

73653979990415780927

65.997

12910747294747
19 × 149 × 49037 × 93001

2009-04-04

49037

93001

3.8205

0.0058

0.0112

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.302%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-02-13T06:21:00	Sturle Sunde	golan.ifi	2⁶⁰	2⁶¹		-	-	0.054	-	-

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
		73653979990415780927	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-04T23:19:00	Sid & Andy	Bo_Peep			73653979990415780927	65.997		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-09-14T00:00:00	ANONYMOUS	v4_computers	099A44ECE99C8567	0.220

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-22T18:04:06

Oliver Kruse

GTX-1

73653979990415780927

49A0C5F6B6B6EE__

2017-12-07T15:00:47

kkmrkkblmbrbk

c4.xlarge

73653979990415780927

49A0C5F6B6B6EE__

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2⁶¹

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