M62609999 Mersenne number exponent details

Residue

Status

L-L

37436754584B9154

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	61.1063	64.8649%	590000	11652500	4.0626	3.8381%	65.1689	66.2134%	1.3485%
PrimeNet	2⁷⁰	3.8165	62.8571%	260000	12000000	3.0643	5.1488%	6.8808	64.7696%	1.9124%
GPU72	2⁷⁴	61.1063	64.8649%	400000	13000000	3.7007	3.7264%	64.8070	66.1741%	1.3093%
Difference	-	-	-	+190000	-1347500	+0.3618	+0.1117%	+0.3618	+0.0393%	+0.0393%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

61.1063

64.8649%

590000

11652500

4.0626

3.8381%

65.1689

66.2134%

1.3485%

PrimeNet

2⁷⁰

3.8165

62.8571%

260000

12000000

3.0643

5.1488%

6.8808

64.7696%

1.9124%

GPU72

2⁷⁴

61.1063

64.8649%

400000

13000000

3.7007

3.7264%

64.8070

66.1741%

1.3093%

Difference

+190000

-1347500

+0.3618

+0.1117%

+0.3618

+0.0393%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-04-08T09:53:00	rx7350	RMCpc11	590000	11652500		-		-	-	4.063	-	-	3.838%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2016-02-23T17:18:27	Mark Rose	Manual testing	2⁵⁹	2⁶³		-	-	0.024	-	-
2009-01-30T09:40:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-08-14T06:06:00	Jason Lynch	procyon	2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-08-16T12:51:00	kvizbar	Home	2⁶⁵	2⁶⁶		-	-	0.119	-	-
2009-10-18T22:55:00	tmorrow	lightbulb	2⁶⁶	2⁶⁷		-	-	0.239	-	-
2009-10-22T14:40:00	]mh[ Virtek	work3	2⁶⁷	2⁶⁸		-	-	0.477	-	-
2009-10-27T04:29:00	]mh[ Virtek	work3	2⁶⁸	2⁶⁹		-	-	0.955	-	-
2012-08-02T16:26:00	ktony	Manual testing	2⁶⁹	2⁷³		-	-	28.64	-	-
2016-02-26T19:41:40	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	30.55	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2014-02-08T04:05:00	Michael Ortiz	MTO-server	37436754584B9154	147.1
2021-01-21T03:05:59	Milwizzle	miner4	37436754584B9154	147.1

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 = 590000, B2 = 11652500 (P-1 stage 2)

B1 = 590000 (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