M59219323 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	2⁷³	32.3010	64.3836%	550000	550000	1.7717	1.7374%	34.0727	65.0024%	0.6188%
PrimeNet	2⁶⁹	2.0160	62.3188%	260000	12000000	2.8979	5.6418%	4.9139	64.4447%	2.1259%
GPU72	2⁷³	32.3010	64.3836%	400000	14000000	3.6753	4.1462%	35.9763	65.8603%	1.4767%
Difference	-	-	-	+150000	-13450000	-1.9036	-2.4088%	-1.9036	-0.8579%	-0.8579%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

32.3010

64.3836%

550000

1.7717

1.7374%

34.0727

65.0024%

0.6188%

PrimeNet

2⁶⁹

2.0160

62.3188%

260000

12000000

2.8979

5.6418%

4.9139

64.4447%

2.1259%

GPU72

2⁷³

32.3010

64.3836%

400000

14000000

3.6753

4.1462%

35.9763

65.8603%

1.4767%

Difference

+150000

-13450000

-1.9036

-2.4088%

-1.9036

-0.8579%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
59219323	4003973722867683284562263	25	81.728	33806311183831697 7 × 131 × 751 × 211313 × 232307	2012-11-25	211313	232307	14,422	0.6844	1.3853

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

59219323

4003973722867683284562263

81.728

33806311183831697
7 × 131 × 751 × 211313 × 232307

2012-11-25

211313

232307

14,422

0.6844

1.3853

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-11-25T17:43:00	Jwb52z	Clay	550000	550000			4003973722867683284562263	25	81.728	1.772	263.1	3.543	1.737%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-11-25T17:43:00

Jwb52z

Clay

550000

4003973722867683284562263

81.728

1.772

263.1

3.543

1.737%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.05247e-5	-	-
2000-03-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2001-11-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
Missing TF 58 - 59
Missing TF 59 - 60
Missing TF 60 - 61
Missing TF 61 - 62
Missing TF 62 - 63
2008-06-17T22:49:00	monst	guinness	2⁶³	2⁶⁴		-	-	0.033	-	-
2008-11-08T09:36:00	Sturle Sunde	niemeyer.ifi	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2008-11-08T17:33:00	ANONYMOUS	gerrit	2⁶⁵	2⁶⁶		-	-	0.126	-	-
2008-11-09T08:31:00	Sturle Sunde	papageno.ifi	2⁶⁶	2⁶⁷		-	-	0.252	-	-
2008-11-12T00:33:00	James Hintz	2	2⁶⁷	2⁶⁸		-	-	0.505	-	-
2009-06-11T04:28:00	Sturle Sunde	eames.ifi	2⁶⁸	2⁶⁹		-	-	1.010	-	-
2011-07-23T14:53:00	Xyzzy	Manual testing	2⁶⁹	2⁷⁰		-	-	2.019	-	-
2012-03-24T12:51:00	Kyle Askine	Manual testing	2⁷⁰	2⁷¹		-	-	4.038	-	-
2012-07-11T21:53:00	Kyle Askine	Manual testing	2⁷¹	2⁷²		-	-	8.076	-	-
2012-10-14T13:24:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	16.15	-	-

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 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

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