M65 047 613 Mersenne number exponent details

Residue

Status

L-L

05746DD5BBC61E9E

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁵	117.6355	65.3333%	575000	10493750	3.9232	3.4085%	121.5587	66.5149%
Target	2⁷⁴	58.8164	64.8649%	450000	14000000	4.1794	3.8621%	62.9957	66.2218%
Difference	+1	+58.8191	+0.4685%	+125000	-3506250	-0.2562	-0.4536%	+58.5629	+0.2931%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁵

117.6355

65.3333%

575000

10493750

3.9232

3.4085%

121.5587

66.5149%

Target

2⁷⁴

58.8164

64.8649%

450000

14000000

4.1794

3.8621%

62.9957

66.2218%

Difference

+58.8191

+0.4685%

+125000

-3506250

-0.2562

-0.4536%

+58.5629

+0.2931%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-09-17	Charlie_Tango	Work	575000	10493750		-		-	-	3.923	-	-	3.409%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-09-17

Charlie_Tango

Work

575000

10493750

3.923

-

-

3.409%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-10-31	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-02-23	1997rj7	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2016-03-27	Mark Rose	Manual testing	2⁶⁰	2⁶⁴		-	-	0.052	-	-
2009-11-13	ANONYMOUS	ComputerID	2⁶⁴	2⁶⁵		-	-	0.057	-	-
2009-11-16	Chun sung soo	JIN	2⁶⁵	2⁶⁶		-	-	0.115	-	-
2010-05-28	Frederick Menninger	1611	2⁶⁶	2⁶⁷		-	-	0.230	-	-
2010-05-29	ITS	MasterStation	2⁶⁷	2⁶⁸		-	-	0.460	-	-
2010-05-31	ITS	MasterStation	2⁶⁸	2⁶⁹		-	-	0.919	-	-
2012-01-16	Smok_bmv	bmv_q_home	2⁶⁹	2⁷⁰		-	-	1.838	-	-
2012-06-15	ANONYMOUS		2⁷⁰	2⁷¹		-	-	3.676	-	-
2013-07-31	Kyle Askine	Manual testing	2⁷¹	2⁷²		-	-	7.352	-	-
2013-07-31	Kyle Askine	Manual testing	2⁷²	2⁷³		-	-	14.70	-	-
2013-09-09	Chuck	Manual testing	2⁷³	2⁷⁴		-	-	29.41	-	-
2022-09-13	La Güira	Manual testing	2⁷⁴	2⁷⁵		-	-	58.82	-	-

date	userid	compid	res64	spent (GHz-days)
2014-04-20	Rick	096	05746DD5BBC61E9E	157.8
2022-11-27	Ryan Propper	Manual testing	05746DD5BBC61E9E	157.8

date

userid

compid

res64

spent (GHz-days)

2014-04-20

Rick

096

05746DD5BBC61E9E

157.8

2022-11-27

Ryan Propper

Manual testing

05746DD5BBC61E9E

157.8

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 = 575000, B2 = 10493750 (P-1 stage 2)

B1 = 575000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶⁰

2⁵⁹

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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