M57969139 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	32.9976	64.3836%	530000	9805000	3.1818	3.9958%	36.1794	65.8067%	1.4231%
PrimeNet	2⁶⁹	2.0595	62.3188%	260000	11000000	2.5973	5.5405%	4.6568	64.4066%	2.0877%
GPU72	2⁷³	32.9976	64.3836%	400000	13000000	3.3390	4.0771%	36.3366	65.8357%	1.4521%
Difference	-	-	-	+130000	-3195000	-0.1572	-0.0813%	-0.1572	-0.0290%	-0.0290%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

32.9976

64.3836%

530000

9805000

3.1818

3.9958%

36.1794

65.8067%

1.4231%

PrimeNet

2⁶⁹

2.0595

62.3188%

260000

11000000

2.5973

5.5405%

4.6568

64.4066%

2.0877%

GPU72

2⁷³

32.9976

64.3836%

400000

13000000

3.3390

4.0771%

36.3366

65.8357%

1.4521%

Difference

+130000

-3195000

-0.1572

-0.0813%

-0.1572

-0.0290%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
57969139	32237856363446949033270079	26	84.737	278060507017768101 3 × 11 × 28123 × 128389 × 2333651	2012-09-28	128389	2333651	124,067	0.7638	0.8030

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

57969139

32237856363446949033270079

84.737

278060507017768101
3 × 11 × 28123 × 128389 × 2333651

2012-09-28

128389

2333651

124,067

0.7638

0.8030

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-09-28T04:28:00	Jwb52z	Clay	530000	9805000			32237856363446949033270079	26	84.737	3.182	245.7	6.364	3.996%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-09-28T04:28:00

Jwb52z

Clay

530000

9805000

32237856363446949033270079

84.737

3.182

245.7

6.364

3.996%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.06993e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.13987e-5	-	-
2000-06-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-11-08T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
Missing TF 60 - 61
Missing TF 61 - 62
Missing TF 62 - 63
2008-10-26T12:48:00	Roman Maznichenko	x64-Prime	2⁶³	2⁶⁴		-	-	0.034	-	-
2008-10-26T21:07:00	Sturle Sunde	othello.ifi	2⁶⁴	2⁶⁵		-	-	0.064	-	-
2008-10-27T05:35:00	Sturle Sunde	rodolfo.ifi	2⁶⁵	2⁶⁶		-	-	0.129	-	-
2008-10-28T13:50:00	Nathan Edington	UGA3	2⁶⁶	2⁶⁷		-	-	0.258	-	-
2009-05-30T07:38:00	Sturle Sunde	gerle.ifi	2⁶⁷	2⁶⁸		-	-	0.516	-	-
2011-10-09T07:11:00	iconized	Manual testing	2⁶⁸	2⁶⁹		-	-	1.031	-	-
2011-10-09T07:11:00	iconized	Manual testing	2⁶⁹	2⁷⁰		-	-	2.063	-	-
2011-10-09T07:11:00	iconized	Manual testing	2⁷⁰	2⁷¹		-	-	4.125	-	-
2012-06-03T07:27:00	garo	Manual testing	2⁷¹	2⁷²		-	-	8.250	-	-
2012-09-08T14:33:00	Craig Meyers	Manual testing	2⁷²	2⁷³		-	-	16.50	-	-

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 = 530000, B2 = 9805000 (P-1 stage 2)

B1 = 530000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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