M57739921 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	33.1286	64.3836%	530000	530000	1.6288	1.7032%	34.7574	64.9902%	0.6066%
PrimeNet	2⁶⁹	2.0677	62.3188%	260000	11000000	2.5973	5.5378%	4.6650	64.4056%	2.0867%
GPU72	2⁷³	33.1286	64.3836%	400000	13000000	3.3390	4.0750%	36.4676	65.8349%	1.4514%
Difference	-	-	-	+130000	-12470000	-1.7102	-2.3718%	-1.7102	-0.8448%	-0.8448%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

33.1286

64.3836%

530000

1.6288

1.7032%

34.7574

64.9902%

0.6066%

PrimeNet

2⁶⁹

2.0677

62.3188%

260000

11000000

2.5973

5.5378%

4.6650

64.4056%

2.0867%

GPU72

2⁷³

33.1286

64.3836%

400000

13000000

3.3390

4.0750%

36.4676

65.8349%

1.4514%

Difference

+130000

-12470000

-1.7102

-2.3718%

-1.7102

-0.8448%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
57739921	174129453467924169651127	24	77.205	1507877482789803 3 × 127 × 3581 × 30161 × 36643	2012-09-22	30161	36643	668.14	0.0938	0.1886

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

57739921

174129453467924169651127

77.205

1507877482789803
3 × 127 × 3581 × 30161 × 36643

2012-09-22

30161

36643

668.14

0.0938

0.1886

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-09-22T21:35:00	Jwb52z	Clay	530000	530000			174129453467924169651127	24	77.205	1.629	244.8	3.258	1.703%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-09-22T21:35:00

Jwb52z

Clay

530000

174129453467924169651127

77.205

1.629

244.8

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		-	-	2.07815e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.15630e-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
2009-01-11T18:25:00	cawgod	cawgod1	2⁶³	2⁶⁴		-	-	0.034	-	-
2009-01-16T05:35:00	cawgod	cawgod1	2⁶⁴	2⁶⁵		-	-	0.065	-	-
2009-01-17T20:49:00	cawgod	cawgod1	2⁶⁵	2⁶⁶		-	-	0.129	-	-
2009-01-18T21:51:00	cawgod	cawgod1	2⁶⁶	2⁶⁷		-	-	0.259	-	-
2009-06-11T01:46:00	xtuh	ksa-192.168.0.239	2⁶⁷	2⁶⁸		-	-	0.518	-	-
2011-05-01T17:55:00	Ungelovende	Manual testing	2⁶⁸	2⁶⁹		-	-	1.035	-	-
2011-05-01T17:55:00	Ungelovende	Manual testing	2⁶⁹	2⁷⁰		-	-	2.071	-	-
2011-05-01T17:55:00	Ungelovende	Manual testing	2⁷⁰	2⁷¹		-	-	4.141	-	-
2012-06-12T17:45:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	8.283	-	-
2012-09-03T17:32:00	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