M59219141 Mersenne number exponent details

Residue

Status

L-L

A5B4D57A143F8BB0

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	64.6052	64.8649%	545000	9673750	3.3577	3.6323%	67.9629	66.1411%	1.2762%
PrimeNet	2⁶⁹	2.0160	62.3188%	260000	12000000	2.8979	5.6418%	4.9139	64.4447%	2.1259%
GPU72	2⁷³	32.3011	64.3836%	400000	14000000	3.6753	4.1462%	35.9764	65.8603%	1.4767%
Difference	+1	+32.3041	+0.4813%	+145000	-4326250	-0.3176	-0.5139%	+31.9865	+0.2808%	+0.2808%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

64.6052

64.8649%

545000

9673750

3.3577

3.6323%

67.9629

66.1411%

1.2762%

PrimeNet

2⁶⁹

2.0160

62.3188%

260000

12000000

2.8979

5.6418%

4.9139

64.4447%

2.1259%

GPU72

2⁷³

32.3011

64.3836%

400000

14000000

3.6753

4.1462%

35.9764

65.8603%

1.4767%

Difference

+32.3041

+0.4813%

+145000

-4326250

-0.3176

-0.5139%

+31.9865

+0.2808%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-11-24T21:06:00	RonnyKarl	i5-1	545000	9673750		-		-	-	3.358	-	-	3.632%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-11-24T21:06:00

RonnyKarl

i5-1

545000

9673750

3.358

-

-

3.632%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.05248e-5	-	-
2000-03-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2001-11-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2016-02-23T17:05:54	Mark Rose	Manual testing	2⁵⁸	2⁶³		-	-	0.026	-	-
2008-06-17T21:32:00	monst	guinness	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-03-19T18:13:00	PrimeCruncher	Apollo4	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2009-03-21T13:02:00	Wojciech Florek	armada2	2⁶⁵	2⁶⁶		-	-	0.126	-	-
2009-03-23T10:18:00	Wojciech Florek	armada2	2⁶⁶	2⁶⁷		-	-	0.252	-	-
2009-03-27T02:31:00	borgyg	CompLab15	2⁶⁷	2⁶⁸		-	-	0.505	-	-
2009-06-14T19:40:00	Kelly Lowder	upstairs	2⁶⁸	2⁶⁹		-	-	1.010	-	-
2011-07-23T14:53:00	Xyzzy	Manual testing	2⁶⁹	2⁷⁰		-	-	2.019	-	-
2012-03-30T00:53:00	Kyle Askine	Manual testing	2⁷⁰	2⁷¹		-	-	4.038	-	-
2012-07-11T21:53:00	Kyle Askine	Manual testing	2⁷¹	2⁷²		-	-	8.076	-	-
2012-10-14T04:23:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	16.15	-	-
2019-01-02T13:53:48	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	32.30	-	-

date	userid	compid	res64	spent (GHz-days)
2013-11-09T13:02:00	curtisc	wcm200--34l	A5B4D57A143F8BB0	131.6
2021-08-29T16:11:39	mnisse		A5B4D57A143F8BB0	131.6

date

userid

compid

res64

spent (GHz-days)

2013-11-09T13:02:00

curtisc

wcm200--34l

A5B4D57A143F8BB0

131.6

2021-08-29T16:11:39

mnisse

A5B4D57A143F8BB0

131.6

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 = 9673750 (P-1 stage 2)

B1 = 545000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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