M69 243 709 Mersenne number exponent details

Residue

Status

L-L

8D766E23FE491A__

needs double-check

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁵	110.5069	64.0000%	765000	19125000	6.8436	4.0178%	117.3505	65.4464%
Target	2⁷⁴	55.2522	63.5135%	450000	15000000	4.8177	3.9446%	60.0699	64.9528%
Difference	+1	+55.2547	+0.4865%	+315000	+4125000	+2.0259	+0.0732%	+57.2806	+0.4936%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁵

110.5069

64.0000%

765000

19125000

6.8436

4.0178%

117.3505

65.4464%

Target

2⁷⁴

55.2522

63.5135%

450000

15000000

4.8177

3.9446%

60.0699

64.9528%

Difference

+55.2547

+0.4865%

+315000

+4125000

+2.0259

+0.0732%

+57.2806

+0.4936%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-12-06	HBendtz	HAL9007	765000	19125000		-		-	-	6.844	-	-	4.018%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-12-06

HBendtz

HAL9007

765000

19125000

6.844

-

-

4.018%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-10-22	Jocelyn Larouche	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-06-03	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2003-11-28	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.009	-	-
2004-11-22	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.023	-	-
2016-03-30	Mark Rose	Manual testing	2⁶³	2⁶⁴		-	-	0.028	-	-
2016-03-29	Mark Rose	Manual testing	2⁶⁴	2⁶⁵		-	-	0.054	-	-
2008-06-11	Sturle Sunde	wright.ifi	2⁶⁵	2⁶⁶		-	-	0.108	-	-
2010-04-18	PrimeCruncher	Apollo8	2⁶⁶	2⁶⁷		-	-	0.216	-	-
2010-04-20	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.432	-	-
2010-05-03	Palantsevich	OfficeP01	2⁶⁸	2⁶⁹		-	-	0.863	-	-
2012-04-27	Milldang	bsmt_xp	2⁶⁹	2⁷⁰		-	-	1.727	-	-
2012-11-05	ig	Manual testing	2⁷⁰	2⁷¹		-	-	3.453	-	-
2014-05-23	Bill Staffen	Manual testing	2⁷¹	2⁷⁴		-	-	48.35	-	-
2016-05-27	Judge Hale	Manual testing	2⁷⁴	2⁷⁵		-	-	55.25	-	-

date	userid	compid	res64	spent (GHz-days)
2016-08-28	MapMaker	HAL	8D766E23FE491A__	185.1

date

userid

compid

res64

spent (GHz-days)

2016-08-28

MapMaker

HAL

8D766E23FE491A__

185.1

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 = 765000, B2 = 19125000 (P-1 stage 2)

B1 = 765000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁵⁷

2⁵⁶

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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