M61040929 Mersenne number exponent details

Residue

Status

L-L

E5F17A65D9FBAF8C

double-checked

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	62.6771	64.8649%	575000	10925000	3.8793	3.7641%	66.5563	66.1874%	1.3225%
PrimeNet	2⁷⁰	3.9146	62.8571%	260000	12000000	3.0643	5.1326%	6.9789	64.7635%	1.9064%
GPU72	2⁷⁴	62.6771	64.8649%	400000	13000000	3.7007	3.7144%	66.3778	66.1699%	1.3051%
Difference	-	-	-	+175000	-2075000	+0.1785	+0.0497%	+0.1785	+0.0174%	+0.0174%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

62.6771

64.8649%

575000

10925000

3.8793

3.7641%

66.5563

66.1874%

1.3225%

PrimeNet

2⁷⁰

3.9146

62.8571%

260000

12000000

3.0643

5.1326%

6.9789

64.7635%

1.9064%

GPU72

2⁷⁴

62.6771

64.8649%

400000

13000000

3.7007

3.7144%

66.3778

66.1699%

1.3051%

Difference

+175000

-2075000

+0.1785

+0.0497%

+0.1785

+0.0174%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-04-17T07:37:00	kurly	slice	575000	10925000		-		-	-	3.879	-	-	3.764%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-04-17T07:37:00

kurly

slice

575000

10925000

3.879

-

-

3.764%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2003-10-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2004-04-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.010	-	-
2016-02-23T17:06:38	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.016	-	-
2009-02-25T19:08:00	jpineda	dck185d1	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-03-02T12:08:00	KWSN-Sir Papa Smurph	Maria	2⁶⁴	2⁶⁵		-	-	0.061	-	-
2009-03-02T17:22:00	NoPa		2⁶⁵	2⁶⁶		-	-	0.122	-	-
2009-09-25T04:14:00	Jeff_Gilchrist	Celeron_900MHz	2⁶⁶	2⁶⁷		-	-	0.245	-	-
2009-11-28T21:09:00	David L	Office	2⁶⁷	2⁶⁸		-	-	0.490	-	-
2009-12-01T14:26:00	2knarf	Chipzilla	2⁶⁸	2⁶⁹		-	-	0.979	-	-
2011-10-31T21:26:00	Roy Oswald	Manual testing	2⁶⁹	2⁷⁰		-	-	1.959	-	-
2013-01-29T01:01:00	ktony	Manual testing	2⁷⁰	2⁷³		-	-	27.42	-	-
2013-06-28T22:52:00	kdgehman	Manual testing	2⁷³	2⁷⁴		-	-	31.34	-	-

date	userid	compid	res64	spent (GHz-days)
2014-04-02T08:49:00	_DJ3D_		E5F17A65D9FBAF8C	143.4
2022-02-26T03:16:18	Carson	Alan	E5F17A65D9FBAF8C	143.4

date

userid

compid

res64

spent (GHz-days)

2014-04-02T08:49:00

_DJ3D_

E5F17A65D9FBAF8C

143.4

2022-02-26T03:16:18

Carson

Alan

E5F17A65D9FBAF8C

143.4

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 = 10925000 (P-1 stage 2)

B1 = 575000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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