M2796373 Mersenne number exponent details

Residue

Status

L-L

743DC5FFD9B8021D

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	10.6259	67.1642%	2048	204800	0.0015	0.3003%	10.6273	67.2628%	0.0986%
PrimeNet	2⁵⁹	0.0275	62.7119%	12000	240000	0.0027	2.9264%	0.0302	63.8031%	1.0912%
GPU72	2⁶³	0.5707	65.0794%	15000	260000	0.0032	1.7893%	0.5739	65.7042%	0.6248%
Difference	+4	+10.0551	+2.0848%	-12952	-55200	-0.0017	-1.4890%	+10.0534	+1.5586%	+1.5586%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

10.6259

67.1642%

2048

204800

0.0015

0.3003%

10.6273

67.2628%

0.0986%

PrimeNet

2⁵⁹

0.0275

62.7119%

12000

240000

0.0027

2.9264%

0.0302

63.8031%

1.0912%

GPU72

2⁶³

0.5707

65.0794%

15000

260000

0.0032

1.7893%

0.5739

65.7042%

0.6248%

Difference

+10.0551

+2.0848%

-12952

-55200

-0.0017

-1.4890%

+10.0534

+1.5586%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2796373	3234288868820500663	19	61.488	578300689647 3⁵ × 6271 × 379499	2009-03-20	6271	379499	0.1590	0.0030	0.0043

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2796373

3234288868820500663

61.488

578300689647
3⁵ × 6271 × 379499

2009-03-20

6271

379499

0.1590

0.0030

0.0043

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	-	-	0.300%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-02-14T07:18:00	Sturle Sunde	gaudi.ifi	2⁶⁰	2⁶¹		-	-	0.055	-	-

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
		3234288868820500663	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-20T21:14:00	Aca Arsov	backo6400			3234288868820500663	61.488		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-07-12T00:00:00	Stephen Wood	v4_computers	743DC5FFD9B8021D	0.216

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-21T13:12:17

Oliver Kruse

GTX-3

3234288868820500663

C0DD1AB02C7335__

2017-12-06T13:55:49

kkmrkkblmbrbk

c4.xlarge

3234288868820500663

C0DD1AB02C7335__

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

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