M62826031 Mersenne number exponent details

Residue

Status

L-L

4DA2D52A7A6190__

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	2⁷⁴	60.8962	64.8649%	550000	10312500	3.6851	3.7126%	64.5813	66.1693%	1.3044%
PrimeNet	2⁷⁰	3.8034	62.8571%	260000	12000000	3.0643	5.1510%	6.8676	64.7704%	1.9132%
GPU72	2⁷⁴	60.8962	64.8649%	400000	13000000	3.7007	3.7281%	64.5969	66.1747%	1.3099%
Difference	-	-	-	+150000	-2687500	-0.0157	-0.0154%	-0.0157	-0.0054%	-0.0054%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

60.8962

64.8649%

550000

10312500

3.6851

3.7126%

64.5813

66.1693%

1.3044%

PrimeNet

2⁷⁰

3.8034

62.8571%

260000

12000000

3.0643

5.1510%

6.8676

64.7704%

1.9132%

GPU72

2⁷⁴

60.8962

64.8649%

400000

13000000

3.7007

3.7281%

64.5969

66.1747%

1.3099%

Difference

+150000

-2687500

-0.0157

-0.0154%

-0.0157

-0.0054%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-08-31T14:27:00	LarryG	Desktop2	550000	10312500		-		-	-	3.685	-	-	3.713%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-08-31T14:27:00

LarryG

Desktop2

550000

10312500

3.685

-

-

3.713%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2016-02-23T17:18:33	Mark Rose	Manual testing	2⁵⁹	2⁶³		-	-	0.024	-	-
2009-02-03T12:02:00	Wojciech Florek	armada4	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-10-22T09:03:00	ANONYMOUS	8	2⁶⁴	2⁶⁵		-	-	0.059	-	-
2009-10-25T15:47:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.119	-	-
2009-12-28T05:02:00	Sturle Sunde	gorro.ifi	2⁶⁶	2⁶⁷		-	-	0.238	-	-
2009-12-30T02:34:00	Sturle Sunde	gorro.ifi	2⁶⁷	2⁶⁸		-	-	0.476	-	-
2010-01-01T03:31:00	Sturle Sunde	gorro.ifi	2⁶⁸	2⁶⁹		-	-	0.952	-	-
2011-12-14T23:40:00	Robert Walker	mach255	2⁶⁹	2⁷⁰		-	-	1.903	-	-
2013-03-21T22:40:00	Jerry Hallett	Manual testing	2⁷⁰	2⁷¹		-	-	3.806	-	-
2013-03-21T22:40:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.612	-	-
2013-03-21T22:40:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	15.22	-	-
2013-08-16T16:58:00	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	30.45	-	-

date	userid	compid	res64	spent (GHz-days)
2014-06-07T20:38:00	curtisc	wcm200--27l	4DA2D52A7A6190__	147.6

date

userid

compid

res64

spent (GHz-days)

2014-06-07T20:38:00

curtisc

wcm200--27l

4DA2D52A7A6190__

147.6

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 = 550000, B2 = 10312500 (P-1 stage 2)

B1 = 550000 (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