M2301743 Mersenne number exponent details

Residue

Status

L-L

5FB790A85933A830

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	12.9093	67.1642%	5000000	505000000	3.1582	10.9711%	16.0675	70.7666%	3.6025%
PrimeNet	2⁵⁸	0.0167	62.0690%	10000	190000	0.0019	2.9284%	0.0186	63.1797%	1.1108%
GPU72	2⁶²	0.2669	64.5161%	12000	200000	0.0022	1.7378%	0.2691	65.1328%	0.6166%
Difference	+5	+12.6424	+2.6481%	+4988000	+504800000	+3.1560	+9.2333%	+15.7984	+5.6339%	+5.6339%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

12.9093

67.1642%

5000000

505000000

3.1582

10.9711%

16.0675

70.7666%

3.6025%

PrimeNet

2⁵⁸

0.0167

62.0690%

10000

190000

0.0019

2.9284%

0.0186

63.1797%

1.1108%

GPU72

2⁶²

0.2669

64.5161%

12000

200000

0.0022

1.7378%

0.2691

65.1328%

0.6166%

Difference

+12.6424

+2.6481%

+4988000

+504800000

+3.1560

+9.2333%

+15.7984

+5.6339%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2301743	4064938251816320951	19	61.818	883013058325 5² × 269 × 4703 × 27919	2010-01-09	4703	27919	0.2139	0.0006	0.0009

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2301743

4064938251816320951

61.818

883013058325
5² × 269 × 4703 × 27919

2010-01-09

4703

27919

0.2139

0.0006

0.0009

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-08-25T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.284%
2018-02-16T11:42:09	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 4064938251816320951	-	-	0.126	-	-	5.210%
2021-04-07T12:56:27	ViliamF	3	5000000	505000000		-	skipped known factor: 4064938251816320951	-	-	3.158	-	-	10.971%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-01-15T06:45:00	Sturle Sunde	goose.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.265 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.265 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
		4064938251816320951	1	0.00000e+0
50000	5000000		3	0.265

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-21T13:51:00	Helgen	newone	50000	5000000						3	0.265
2010-01-09T03:25:00	KAMCOBILL	PC01			4064938251816320951	61.818		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-09-07T00:00:00	ANONYMOUS	v4_computers	5FB790A85933A830	0.155

date

userid

compid

res64

spent (GHz-days)

1999-09-07T00:00:00

ANONYMOUS

v4_computers

5FB790A85933A830

0.155

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-11T12:36:05

Oliver Kruse

GTX-0

4064938251816320951

897546C0C84C40__

2017-11-22T15:26:35

ATH

ec2-1xf

4064938251816320951

897546C0C84C40__

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 = 5000000, B2 = 505000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (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

10⁹

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