M57403057 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	2⁶⁷	0.5176	61.1940%	-	-	-	-	0.5176	61.1940%	0.0000%
PrimeNet	2⁶⁹	2.0798	62.3188%	260000	11000000	2.5973	5.5338%	4.6771	64.4041%	2.0852%
GPU72	2⁷³	33.3230	64.3836%	400000	13000000	3.3390	4.0720%	36.6620	65.8339%	1.4503%
Difference	-6	-32.8054	-3.1895%	-400000	-13000000	-3.3390	-4.0720%	-36.1444	-4.6398%	-4.6398%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

0.5176

61.1940%

0.5176

61.1940%

0.0000%

PrimeNet

2⁶⁹

2.0798

62.3188%

260000

11000000

2.5973

5.5338%

4.6771

64.4041%

2.0852%

GPU72

2⁷³

33.3230

64.3836%

400000

13000000

3.3390

4.0720%

36.6620

65.8339%

1.4503%

Difference

-6

-32.8054

-3.1895%

-400000

-13000000

-3.3390

-4.0720%

-36.1444

-4.6398%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
57403057	188568275648642508319	21	67.354	1642493322687 3 × 7 × 701 × 111574847	2009-06-06	701	111574847	0.6289	18.684	34.892

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

57403057

188568275648642508319

67.354

1642493322687
3 × 7 × 701 × 111574847

2009-06-06

701

111574847

0.6289

18.684

34.892

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-06-06T06:47:00	SAHS Science Dept	old_laptop	?	?	188568275648642508319	67.354	21	0.111	249.2	0.228
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.09035e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.18069e-5	-	-
2000-06-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2000-06-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-11-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-08-25T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
Missing TF 60 - 61
Missing TF 61 - 62
Missing TF 62 - 63
2008-10-05T11:14:00	Sturle Sunde	aeronautica.ifi	2⁶³	2⁶⁴		-	-	0.034	-	-
2008-10-05T20:43:00	Sturle Sunde	aeronautica.ifi	2⁶⁴	2⁶⁵		-	-	0.065	-	-
2008-10-06T22:53:00	Sturle Sunde	aeronautica.ifi	2⁶⁵	2⁶⁶		-	-	0.130	-	-
2008-10-10T17:42:00	Sturle Sunde	aeronautica.ifi	2⁶⁶	2⁶⁷		-	-	0.260	-	-

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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