M55 251 041 Mersenne number exponent details

Residue

Status

L-L

89CEBC406220F960

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁵	138.4935	65.3333%	580000	12180000	3.7247	3.4483%	142.2182	66.5287%
Target	2⁷³	34.6210	64.3836%	360000	12000000	3.0553	3.9323%	37.6763	65.7841%
Difference	+2	+103.8725	+0.9498%	+220000	+180000	+0.6694	-0.4840%	+104.5419	+0.7446%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁵

138.4935

65.3333%

580000

12180000

3.7247

3.4483%

142.2182

66.5287%

Target

2⁷³

34.6210

64.3836%

360000

12000000

3.0553

3.9323%

37.6763

65.7841%

Difference

+103.8725

+0.9498%

+220000

+180000

+0.6694

-0.4840%

+104.5419

+0.7446%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-01-23	kagakubu	morilab_i3	580000	12180000		-		-	-	3.725	-	-	3.448%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-01-23

kagakubu

morilab_i3

580000

12180000

3.725

-

-

3.448%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-15	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.17177e-5	-	-
2000-01-12	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.17177e-5	-	-
2000-03-01	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.34353e-5	-	-
2000-05-31	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-16	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-07-06	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2008-10-14	ANONYMOUS	Manual testing	2¹	2⁶⁴		-	-	0.064	-	-
2009-03-09	raymondf	rtf021	2⁶⁴	2⁶⁵		-	-	0.068	-	-
2009-03-11	raymondf	rtf021	2⁶⁵	2⁶⁶		-	-	0.135	-	-
2009-03-12	raymondf	rtf021	2⁶⁶	2⁶⁷		-	-	0.271	-	-
2009-08-23	Lukin Dmitry	Dmitry	2⁶⁷	2⁶⁸		-	-	0.541	-	-
2011-04-03	ANONYMOUS	Core2QuadQ6600	2⁶⁸	2⁶⁹		-	-	1.082	-	-
2011-05-30	shauge	Manual testing	2⁶⁹	2⁷⁰		-	-	2.164	-	-
2011-05-30	shauge	Manual testing	2⁷⁰	2⁷¹		-	-	4.328	-	-
2012-05-14	Tom Duell	Manual testing	2⁷¹	2⁷²		-	-	8.656	-	-
2013-05-22	Nathan Edington	Manual testing	2⁷²	2⁷³		-	-	17.31	-	-
2013-05-22	Nathan Edington	Manual testing	2⁷³	2⁷⁴		-	-	34.62	-	-
2013-05-22	Nathan Edington	Manual testing	2⁷⁴	2⁷⁵		-	-	69.25	-	-

date	userid	compid	res64	spent (GHz-days)
2013-05-25	Nathan Edington	MCH10	89CEBC406220F960	117.1
2021-03-12	Michael Quevillon	CRC	89CEBC406220F960	117.1

date

userid

compid

res64

spent (GHz-days)

2013-05-25

Nathan Edington

MCH10

89CEBC406220F960

117.1

2021-03-12

Michael Quevillon

CRC

89CEBC406220F960

117.1

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 = 580000, B2 = 12180000 (P-1 stage 2)

B1 = 580000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁴

2⁵³

this exponent TF target: 73

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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