M74682809 Mersenne number exponent details

Residue

Status

L-L

F53487F9C012EB__

needs double-check

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	2⁷⁵	102.4588	64.0000%	655000	13100000	5.3439	3.6906%	107.8027	65.3286%	1.3286%
PrimeNet	2⁷⁰	3.1995	61.4286%	320000	14000000	4.2707	5.5546%	7.4702	63.5710%	2.1425%
GPU72	2⁷⁴	51.2282	63.5135%	500000	17000000	5.6082	4.1361%	56.8364	65.0226%	1.5091%
Difference	+1	+51.2306	+0.4865%	+155000	-3900000	-0.2643	-0.4455%	+50.9663	+0.3060%	+0.3060%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

102.4588

64.0000%

655000

13100000

5.3439

3.6906%

107.8027

65.3286%

1.3286%

PrimeNet

2⁷⁰

3.1995

61.4286%

320000

14000000

4.2707

5.5546%

7.4702

63.5710%

2.1425%

GPU72

2⁷⁴

51.2282

63.5135%

500000

17000000

5.6082

4.1361%

56.8364

65.0226%

1.5091%

Difference

+51.2306

+0.4865%

+155000

-3900000

-0.2643

-0.4455%

+50.9663

+0.3060%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2015-12-06T17:03:42	TheJudger	Manual testing	655000	13100000	12	-		-	-	5.344	-	-	3.691%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2015-12-06T17:03:42

TheJudger

Manual testing

655000

13100000

5.344

-

-

3.691%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2002-04-20T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2016-04-02T20:40:24	Mark Rose	Manual testing	2⁵⁷	2⁶⁴		-	-	0.047	-	-
2010-09-15T15:54:00	Spielauer	C73E6CCF6	2⁶⁴	2⁶⁵		-	-	0.050	-	-
2010-09-16T14:26:00	JMGarcia	sede_vacante	2⁶⁵	2⁶⁶		-	-	0.100	-	-
2010-09-20T19:16:00	Hrudey4098	Office_1	2⁶⁶	2⁶⁷		-	-	0.200	-	-
2010-09-23T13:07:00	eon_blue_apocalypse	4core_7years	2⁶⁷	2⁶⁸		-	-	0.400	-	-
2010-09-26T16:20:00	eon_blue_apocalypse	4core_7years	2⁶⁸	2⁶⁹		-	-	0.800	-	-
2012-11-03T16:12:00	NB	BlackBird	2⁶⁹	2⁷⁰		-	-	1.601	-	-
2013-08-28T12:30:00	willmore	Manual testing	2⁷⁰	2⁷¹		-	-	3.202	-	-
2015-08-26T07:37:00	Fredrik	Manual testing	2⁷¹	2⁷²		-	-	6.404	-	-
2015-11-23T21:25:35	AirSquirrels	Manual testing	2⁷²	2⁷³		-	-	12.81	-	-
2015-11-23T21:25:35	AirSquirrels	Manual testing	2⁷³	2⁷⁴		-	-	25.62	-	-
2015-11-23T21:25:35	AirSquirrels	Manual testing	2⁷⁴	2⁷⁵		-	-	51.23	-	-

date	userid	compid	res64	spent (GHz-days)
2016-06-20T09:40:27	AirSquirrels	Manual testing	F53487F9C012EB__	206.5

date

userid

compid

res64

spent (GHz-days)

2016-06-20T09:40:27

AirSquirrels

Manual testing

F53487F9C012EB__

206.5

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 = 655000, B2 = 13100000 (P-1 stage 2)

B1 = 655000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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