M58904393 Mersenne number exponent details

Residue

Status

L-L

5527D0F1C1E533EA

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	64.9504	64.8649%	545000	10218750	3.4533	3.6717%	68.4037	66.1549%	1.2900%
PrimeNet	2⁶⁹	2.0268	62.3188%	260000	12000000	2.8979	5.6381%	4.9247	64.4433%	2.1245%
GPU72	2⁷³	32.4737	64.3836%	400000	14000000	3.6753	4.1435%	36.1490	65.8593%	1.4758%
Difference	+1	+32.4767	+0.4813%	+145000	-3781250	-0.2220	-0.4718%	+32.2547	+0.2956%	+0.2956%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

64.9504

64.8649%

545000

10218750

3.4533

3.6717%

68.4037

66.1549%

1.2900%

PrimeNet

2⁶⁹

2.0268

62.3188%

260000

12000000

2.8979

5.6381%

4.9247

64.4433%

2.1245%

GPU72

2⁷³

32.4737

64.3836%

400000

14000000

3.6753

4.1435%

36.1490

65.8593%

1.4758%

Difference

+32.4767

+0.4813%

+145000

-3781250

-0.2220

-0.4718%

+32.2547

+0.2956%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-08-09T06:31:00	rx7350	RMCpc1	545000	10218750		-		-	-	3.453	-	-	3.672%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-08-09T06:31:00

rx7350

RMCpc1

545000

10218750

3.453

-

-

3.672%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.03707e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.07414e-5	-	-
2000-06-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-06-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-11-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-01-18T00:00:00	1997rj7	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2008-11-14T05:34:00	curtisc	v4_computers	2¹	2⁷⁰		-	-	4.057	-	-
2008-11-18T00:00:00	curtisc	v4_computers	2¹	2⁷⁰		-	-	4.057	-	-
2011-10-20T23:11:00	rlake	Manual testing	2⁷⁰	2⁷¹		-	-	4.060	-	-
2012-07-17T20:27:00	BigBrother	Manual testing	2⁷¹	2⁷²		-	-	8.119	-	-
2012-07-17T20:27:00	BigBrother	Manual testing	2⁷²	2⁷³		-	-	16.24	-	-
2019-01-04T03:52:17	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	32.48	-	-

date	userid	compid	res64	spent (GHz-days)
2013-07-06T05:21:00	curtisc	grn209--12l	5527D0F1C1E533EA	130.9
2021-08-12T20:28:17	-Anonymous-		5527D0F1C1E533EA	130.9

date

userid

compid

res64

spent (GHz-days)

2013-07-06T05:21:00

curtisc

grn209--12l

5527D0F1C1E533EA

130.9

2021-08-12T20:28:17

-Anonymous-

5527D0F1C1E533EA

130.9

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 = 545000, B2 = 10218750 (P-1 stage 2)

B1 = 545000 (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