M65349397 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	2⁷⁴	58.5448	64.8649%	930000	20925000	7.1027	4.5605%	65.6475	66.4672%	3.6101%
PrimeNet	2⁷⁰	3.6565	62.8571%	280000	13000000	3.4224	5.3026%	7.0789	64.8267%	1.9695%
GPU72	2⁷⁴	58.5448	64.8649%	450000	14000000	4.1794	3.8644%	62.7241	66.2226%	1.3577%
Difference	-	-	-	+480000	+6925000	+2.9233	+0.6962%	+2.9233	+0.2446%	+0.2446%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

58.5448

64.8649%

930000

20925000

7.1027

4.5605%

65.6475

66.4672%

3.6101%

PrimeNet

2⁷⁰

3.6565

62.8571%

280000

13000000

3.4224

5.3026%

7.0789

64.8267%

1.9695%

GPU72

2⁷⁴

58.5448

64.8649%

450000

14000000

4.1794

3.8644%

62.7241

66.2226%

1.3577%

Difference

+480000

+6925000

+2.9233

+0.6962%

+2.9233

+0.2446%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
65349397	147198755735760872609938849583897167	36	116.825	1126244177400450019530699339 3 × 7 × 43 × 953 × 14389 × 14951 × 539993 × 11265823	2014-01-30	539993	11265823	2.674e+9	3.9547	4.0322

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

65349397

147198755735760872609938849583897167

116.825

1126244177400450019530699339
3 × 7 × 43 × 953 × 14389 × 14951 × 539993 × 11265823

2014-01-30

539993

11265823

2.674e+9

3.9547

4.0322

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2014-01-30T01:15:00	Jerry Hallett	TF2	930000	20925000	12		147198755735760872609938849583897167	36	116.825	7.103	317.0	14.21	4.561%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-11-08T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2004-04-20T00:00:00	1997rj7	v4_computers	?	2⁶⁰		-	-	0.001	-	-
2009-01-05T08:31:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.030	-	-
2009-03-18T16:54:00	Sturle Sunde	gobi.ifi	2⁶⁴	2⁶⁵		-	-	0.057	-	-
2009-03-19T14:43:00	glennpat	glenn11-PC64	2⁶⁵	2⁶⁶		-	-	0.114	-	-
2009-03-23T21:31:00	nailsss	pentium1.8ghzc	2⁶⁶	2⁶⁷		-	-	0.229	-	-
2009-03-28T10:08:00	nailsss	pentium1.8ghzc	2⁶⁷	2⁶⁸		-	-	0.457	-	-
2010-02-27T08:01:00	BrightSpot	Node_C	2⁶⁸	2⁶⁹		-	-	0.915	-	-
2013-03-10T14:27:00	lycorn	Manual testing	2⁶⁹	2⁷¹		-	-	5.489	-	-
2013-12-09T15:27:00	RichD0	Manual testing	2⁷¹	2⁷²		-	-	7.318	-	-
2014-01-22T02:37:00	Brian Lenhart	Manual testing	2⁷²	2⁷³		-	-	14.64	-	-
2014-01-26T16:11:00	Kevin Jaget	Manual testing	2⁷³	2⁷⁴		-	-	29.27	-	-

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 = 930000, B2 = 20925000 (P-1 stage 2)

B1 = 930000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

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