M57731417 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	33.1335	64.3836%	530000	530000	1.6288	1.7032%	34.7623	64.9902%	0.6066%
PrimeNet	2⁶⁹	2.0680	62.3188%	260000	11000000	2.5973	5.5377%	4.6653	64.4055%	2.0867%
GPU72	2⁷³	33.1335	64.3836%	400000	13000000	3.3390	4.0749%	36.4725	65.8349%	1.4514%
Difference	-	-	-	+130000	-12470000	-1.7102	-2.3718%	-1.7102	-0.8447%	-0.8447%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

33.1335

64.3836%

530000

1.6288

1.7032%

34.7623

64.9902%

0.6066%

PrimeNet

2⁶⁹

2.0680

62.3188%

260000

11000000

2.5973

5.5377%

4.6653

64.4055%

2.0867%

GPU72

2⁷³

33.1335

64.3836%

400000

13000000

3.3390

4.0749%

36.4725

65.8349%

1.4514%

Difference

+130000

-12470000

-1.7102

-2.3718%

-1.7102

-0.8447%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
57731417	1322645848375959335562359	25	80.130	11455165290468787 211 × 11437 × 28729 × 165229	2012-09-22	28729	165229	8,379.2	0.1111	0.1797

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

57731417

1322645848375959335562359

80.130

11455165290468787
211 × 11437 × 28729 × 165229

2012-09-22

28729

165229

8,379.2

0.1111

0.1797

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-09-22T06:16:00	Jwb52z	Clay	530000	530000			1322645848375959335562359	25	80.130	1.629	244.7	3.258	1.703%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-09-22T06:16:00

Jwb52z

Clay

530000

1322645848375959335562359

80.130

1.629

244.7

3.258

1.703%

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		-	-	2.07846e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.15692e-5	-	-
2000-06-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2000-07-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-12-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-09-21T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
Missing TF 60 - 61
Missing TF 61 - 62
Missing TF 62 - 63
2009-01-10T11:52:00	Sturle Sunde	vancraft.ifi	2⁶³	2⁶⁴		-	-	0.034	-	-
2009-01-10T16:55:00	ANONYMOUS		2⁶⁴	2⁶⁵		-	-	0.065	-	-
2009-01-16T07:24:00	Marv	gideon	2⁶⁵	2⁶⁶		-	-	0.129	-	-
2009-01-22T06:20:00	Marv	gideon	2⁶⁶	2⁶⁷		-	-	0.259	-	-
2009-05-30T00:55:00	Sturle Sunde	fungo.ifi	2⁶⁷	2⁶⁸		-	-	0.518	-	-
2011-04-26T08:19:00	Paul Leyland	Manual testing	2⁶⁸	2⁶⁹		-	-	1.036	-	-
2011-06-18T06:32:00	GrunwalderGIMP	compute-0-0	2⁶⁹	2⁷⁰		-	-	2.071	-	-
2011-10-07T21:11:00	Xyzzy	Manual testing	2⁷⁰	2⁷¹		-	-	4.142	-	-
2012-06-11T21:55:00	Son Johan	Manual testing	2⁷¹	2⁷²		-	-	8.284	-	-
2012-09-01T08:01:00	Craig Meyers	Manual testing	2⁷²	2⁷³		-	-	16.57	-	-

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 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

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