M58066049 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	32.9426	64.3836%	530000	530000	1.6288	1.7047%	34.5714	64.9907%	0.6071%
PrimeNet	2⁶⁹	2.0561	62.3188%	260000	11000000	2.5973	5.5417%	4.6533	64.4070%	2.0882%
GPU72	2⁷³	32.9426	64.3836%	400000	13000000	3.3390	4.0779%	36.2815	65.8360%	1.4524%
Difference	-	-	-	+130000	-12470000	-1.7102	-2.3732%	-1.7102	-0.8453%	-0.8453%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

32.9426

64.3836%

530000

1.6288

1.7047%

34.5714

64.9907%

0.6071%

PrimeNet

2⁶⁹

2.0561

62.3188%

260000

11000000

2.5973

5.5417%

4.6533

64.4070%

2.0882%

GPU72

2⁷³

32.9426

64.3836%

400000

13000000

3.3390

4.0779%

36.2815

65.8360%

1.4524%

Difference

+130000

-12470000

-1.7102

-2.3732%

-1.7102

-0.8453%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
58066049	517011437412020183884049	24	78.775	4451925404912776 2³ × 7² × 3623 × 34673 × 90407	2012-09-30	34673	90407	1,674.0	0.1159	0.2169

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

58066049

517011437412020183884049

78.775

4451925404912776
2³ × 7² × 3623 × 34673 × 90407

2012-09-30

34673

90407

1,674.0

0.1159

0.2169

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-09-30T19:13:00	Jwb52z	Clay	530000	530000			517011437412020183884049	24	78.775	1.629	246.1	3.258	1.705%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-09-30T19:13:00

Jwb52z

Clay

530000

517011437412020183884049

78.775

1.629

246.1

3.258

1.705%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.06648e-5	-	-
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.06648e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.13296e-5	-	-
2000-06-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-07-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-04-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2003-09-09T00:00:00	mdrg	v4_computers	2¹	2⁶¹		-	-	0.005	-	-
Missing TF 61 - 62
Missing TF 62 - 63
2008-10-26T22:48:00	jpozsga	HOMEVISTA	2⁶³	2⁶⁴		-	-	0.034	-	-
2008-10-27T21:06:00	jpozsga	HOMEVISTA	2⁶⁴	2⁶⁵		-	-	0.064	-	-
2008-10-30T10:20:00	jpozsga	HOMEVISTA	2⁶⁵	2⁶⁶		-	-	0.129	-	-
2008-10-31T21:50:00	jpozsga	HOMEVISTA	2⁶⁶	2⁶⁷		-	-	0.257	-	-
2009-11-28T09:00:00	OS1	corner	2⁶⁷	2⁶⁸		-	-	0.515	-	-
2011-05-02T07:43:00	subgenius	HDO-c1	2⁶⁸	2⁶⁹		-	-	1.030	-	-
2011-06-25T18:02:00	]mh[ Virtek	work1	2⁶⁹	2⁷⁰		-	-	2.059	-	-
2011-10-02T11:25:00	symallad	old_laptop	2⁷⁰	2⁷¹		-	-	4.118	-	-
2012-05-25T23:03:00	Craig Meyers	Manual testing	2⁷¹	2⁷²		-	-	8.236	-	-
2012-09-09T04:44:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	16.47	-	-

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