M61041007 Mersenne number exponent details

Residue

Status

L-L

AACEC351AA23538B

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	62.6770	64.8649%	575000	11068750	3.9059	3.7742%	66.5829	66.1909%	1.3261%
PrimeNet	2⁷⁰	3.9146	62.8571%	260000	12000000	3.0643	5.1326%	6.9789	64.7635%	1.9064%
GPU72	2⁷⁴	62.6770	64.8649%	400000	13000000	3.7007	3.7144%	66.3777	66.1699%	1.3051%
Difference	-	-	-	+175000	-1931250	+0.2052	+0.0598%	+0.2052	+0.0210%	+0.0210%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

62.6770

64.8649%

575000

11068750

3.9059

3.7742%

66.5829

66.1909%

1.3261%

PrimeNet

2⁷⁰

3.9146

62.8571%

260000

12000000

3.0643

5.1326%

6.9789

64.7635%

1.9064%

GPU72

2⁷⁴

62.6770

64.8649%

400000

13000000

3.7007

3.7144%

66.3777

66.1699%

1.3051%

Difference

+175000

-1931250

+0.2052

+0.0598%

+0.2052

+0.0210%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-02-06T23:17:00	Nesowa	BSP2	575000	11068750		-		-	-	3.906	-	-	3.774%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-02-06T23:17:00

Nesowa

BSP2

575000

11068750

3.906

-

-

3.774%

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	-	-
2009-02-25T20:09:00	jpineda	dck185d1	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-04-02T17:49:00	ruedigereckhard	sempron	2⁶⁴	2⁶⁵		-	-	0.061	-	-
2009-04-03T17:17:00	ruedigereckhard	sempron	2⁶⁵	2⁶⁶		-	-	0.122	-	-
2009-04-04T19:20:00	ruedigereckhard	sempron	2⁶⁶	2⁶⁷		-	-	0.245	-	-
2009-04-05T20:15:00	Sturle Sunde	goose.ifi	2⁶⁷	2⁶⁸		-	-	0.490	-	-
2009-07-11T17:52:00	flounders	pc	2⁶⁸	2⁶⁹		-	-	0.979	-	-
2011-11-01T04:54:00	Roy Oswald	Manual testing	2⁶⁹	2⁷⁰		-	-	1.959	-	-
2013-01-29T01:01:00	ktony	Manual testing	2⁷⁰	2⁷³		-	-	27.42	-	-
2013-06-24T16:14:00	Bdot	Manual testing	2⁷³	2⁷⁴		-	-	31.34	-	-

date	userid	compid	res64	spent (GHz-days)
2014-04-27T05:12:00	Arthur Rosenthal	3459633g_ml2	AACEC351AA23538B	143.4
2022-02-28T06:34:25	unconnected	newgen01	AACEC351AA23538B	143.4

date

userid

compid

res64

spent (GHz-days)

2014-04-27T05:12:00

Arthur Rosenthal

3459633g_ml2

AACEC351AA23538B

143.4

2022-02-28T06:34:25

unconnected

newgen01

AACEC351AA23538B

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 = 11068750 (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