M67119163 Mersenne number exponent details

Residue

Status

L-L

8B8C82F61DB153__

needs double-check

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	2⁷⁵	114.0048	64.0000%	715000	14478750	5.3692	3.7571%	119.3740	65.3526%	1.3526%
PrimeNet	2⁷⁰	3.5601	61.4286%	280000	13000000	3.5664	5.3201%	7.1265	63.4806%	2.0520%
GPU72	2⁷⁴	57.0011	63.5135%	450000	15000000	4.5549	3.9293%	61.5560	64.9472%	1.4336%
Difference	+1	+57.0037	+0.4865%	+265000	-521250	+0.8143	-0.1721%	+57.8180	+0.4054%	+0.4054%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

114.0048

64.0000%

715000

14478750

5.3692

3.7571%

119.3740

65.3526%

1.3526%

PrimeNet

2⁷⁰

3.5601

61.4286%

280000

13000000

3.5664

5.3201%

7.1265

63.4806%

2.0520%

GPU72

2⁷⁴

57.0011

63.5135%

450000

15000000

4.5549

3.9293%

61.5560

64.9472%

1.4336%

Difference

+57.0037

+0.4865%

+265000

-521250

+0.8143

-0.1721%

+57.8180

+0.4054%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-10-04T06:40:00	Ilya Alexandrov	VTest_PC	715000	14478750		-		-	-	5.369	-	-	3.757%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-10-04T06:40:00

Ilya Alexandrov

VTest_PC

715000

14478750

5.369

-

-

3.757%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-11T07:42:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.029	-	-
2010-01-03T15:28:00	Frank Balzer	BerlinOrgano	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2010-03-06T14:59:00	Sturle Sunde	antonov.ifi	2⁶⁵	2⁶⁶		-	-	0.111	-	-
2010-03-13T19:56:00	kevshaw	tc4400	2⁶⁶	2⁶⁷		-	-	0.223	-	-
2010-05-23T02:08:00	charger	FH526.3000.01	2⁶⁷	2⁶⁸		-	-	0.445	-	-
2010-06-15T23:32:00	ekrumme	gorbachev	2⁶⁸	2⁶⁹		-	-	0.891	-	-
2012-03-13T04:15:00	Matt Esser	Manual testing	2⁶⁹	2⁷⁰		-	-	1.781	-	-
2013-06-27T23:42:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.563	-	-
2013-12-27T05:08:00	Architects Cubed	Manual testing	2⁷¹	2⁷²		-	-	7.125	-	-
2013-12-27T05:39:00	Architects Cubed	Manual testing	2⁷²	2⁷³		-	-	14.25	-	-
2013-12-29T22:39:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	28.50	-	-
2020-07-19T20:23:59	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	57.00	-	-

date	userid	compid	res64	spent (GHz-days)
2014-03-06T09:17:00	curtisc	wcm424--31l	8B8C82F61DB153__	169.7

date

userid

compid

res64

spent (GHz-days)

2014-03-06T09:17:00

curtisc

wcm424--31l

8B8C82F61DB153__

169.7

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 = 715000, B2 = 14478750 (P-1 stage 2)

B1 = 715000 (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