M59170381 Mersenne number exponent details

Residue

Status

L-L

A1D21EBEA9BB02C2

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	64.6585	64.8649%	555000	10961250	3.6141	3.7358%	68.2725	66.1774%	1.3126%
PrimeNet	2⁶⁹	2.0177	62.3188%	260000	12000000	2.8979	5.6412%	4.9156	64.4445%	2.1257%
GPU72	2⁷³	32.3277	64.3836%	400000	14000000	3.6753	4.1458%	36.0030	65.8601%	1.4766%
Difference	+1	+32.3307	+0.4813%	+155000	-3038750	-0.0612	-0.4100%	+32.2695	+0.3173%	+0.3173%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

64.6585

64.8649%

555000

10961250

3.6141

3.7358%

68.2725

66.1774%

1.3126%

PrimeNet

2⁶⁹

2.0177

62.3188%

260000

12000000

2.8979

5.6412%

4.9156

64.4445%

2.1257%

GPU72

2⁷³

32.3277

64.3836%

400000

14000000

3.6753

4.1458%

36.0030

65.8601%

1.4766%

Difference

+32.3307

+0.4813%

+155000

-3038750

-0.0612

-0.4100%

+32.2695

+0.3173%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-11-23T11:58:00	Koekie	niodmig	555000	10961250		-		-	-	3.614	-	-	3.736%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-11-23T11:58:00

Koekie

niodmig

555000

10961250

3.614

-

-

3.736%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.02791e-5	-	-
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.02791e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.05582e-5	-	-
2000-03-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2001-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2016-02-23T17:05:53	Mark Rose	Manual testing	2⁵⁸	2⁶³		-	-	0.026	-	-
2008-04-16T02:59:00	monst	guinness	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-02-08T03:38:00	linded	kctz74p	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2009-02-08T11:27:00	Sturle Sunde	othello.ifi	2⁶⁵	2⁶⁶		-	-	0.126	-	-
2009-02-08T23:42:00	Sturle Sunde	othello.ifi	2⁶⁶	2⁶⁷		-	-	0.253	-	-
2009-02-10T02:27:00	Sturle Sunde	othello.ifi	2⁶⁷	2⁶⁸		-	-	0.505	-	-
2009-08-16T18:57:00	aa98201		2⁶⁸	2⁶⁹		-	-	1.010	-	-
2011-06-26T23:51:00	Tom Duell	Manual testing	2⁶⁹	2⁷⁰		-	-	2.021	-	-
2011-10-15T09:18:00	Razor_FX_II	Manual testing	2⁷⁰	2⁷¹		-	-	4.041	-	-
2012-07-28T19:57:00	Craig Meyers	Manual testing	2⁷¹	2⁷³		-	-	24.25	-	-
2019-01-05T03:50:31	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	32.33	-	-

date	userid	compid	res64	spent (GHz-days)
2013-10-12T12:44:00	petershum	PETER-HOMEPC	A1D21EBEA9BB02C2	131.4
2021-11-20T10:20:21	kerryt	RGP	A1D21EBEA9BB02C2	131.4

date

userid

compid

res64

spent (GHz-days)

2013-10-12T12:44:00

petershum

PETER-HOMEPC

A1D21EBEA9BB02C2

131.4

2021-11-20T10:20:21

kerryt

RGP

A1D21EBEA9BB02C2

131.4

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 = 555000, B2 = 10961250 (P-1 stage 2)

B1 = 555000 (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