M57262661 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	2⁶⁸	1.0409	61.7647%	-	-	-	-	1.0409	61.7647%	0.0000%
PrimeNet	2⁶⁹	2.0849	62.3188%	260000	11000000	2.5973	5.5322%	4.6822	64.4034%	2.0846%
GPU72	2⁷³	33.4047	64.3836%	400000	13000000	3.3390	4.0708%	36.7437	65.8334%	1.4499%
Difference	-5	-32.3638	-2.6189%	-400000	-13000000	-3.3390	-4.0708%	-35.7028	-4.0687%	-4.0687%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

1.0409

61.7647%

1.0409

61.7647%

0.0000%

PrimeNet

2⁶⁹

2.0849

62.3188%

260000

11000000

2.5973

5.5322%

4.6822

64.4034%

2.0846%

GPU72

2⁷³

33.4047

64.3836%

400000

13000000

3.3390

4.0708%

36.7437

65.8334%

1.4499%

Difference

-5

-32.3638

-2.6189%

-400000

-13000000

-3.3390

-4.0708%

-35.7028

-4.0687%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
57262661	589323529566420583471	21	68.998	5145792382635 3 × 5 × 16061 × 21359369	2011-04-26	16061	21359369	1.0714	3.6230	6.6796

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

57262661

589323529566420583471

68.998

5145792382635
3 × 5 × 16061 × 21359369

2011-04-26

16061

21359369

1.0714

3.6230

6.6796

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-04-26T23:42:00	Per Jessen	beaufort4	?	?	589323529566420583471	68.998	21	0.031	247.5	0.062
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.09547e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.19094e-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	-	-
2002-11-02T00:00:00	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
2008-09-21T19:10:00	Sturle Sunde	iago.ifi	2⁶³	2⁶⁴		-	-	0.034	-	-
2008-09-23T19:30:00	Sturle Sunde	doak.ifi	2⁶⁴	2⁶⁵		-	-	0.065	-	-
2008-09-24T20:07:00	Sturle Sunde	doak.ifi	2⁶⁵	2⁶⁶		-	-	0.130	-	-
2008-09-25T04:51:00	Sturle Sunde	figaro.ifi	2⁶⁶	2⁶⁷		-	-	0.261	-	-
2009-05-28T02:26:00	RoaldS	mXP15	2⁶⁷	2⁶⁸		-	-	0.522	-	-

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

10³

10⁴

10⁵

10³

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