M30344029 Mersenne number exponent details

Residue

Status

L-L

EE257EE23CC76F34

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	2⁷⁵	252.1718	66.6667%	300000	2775000	0.6568	2.0556%	252.8286	68.7223%	6.0357%
PrimeNet	2⁶⁷	0.9792	62.6866%	130000	5000000	0.5971	4.9154%	1.5763	67.6020%	4.9154%
GPU72	2⁷¹	15.7553	64.7887%	200000	6000000	0.7794	3.5653%	16.5346	68.3541%	3.5653%
Difference	+4	+236.4165	+1.8779%	+100000	-3225000	-0.1226	-1.5097%	+236.2940	+0.3682%	+0.3682%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

252.1718

66.6667%

300000

2775000

0.6568

2.0556%

252.8286

68.7223%

6.0357%

PrimeNet

2⁶⁷

0.9792

62.6866%

130000

5000000

0.5971

4.9154%

1.5763

67.6020%

4.9154%

GPU72

2⁷¹

15.7553

64.7887%

200000

6000000

0.7794

3.5653%

16.5346

68.3541%

3.5653%

Difference

+236.4165

+1.8779%

+100000

-3225000

-0.1226

-1.5097%

+236.2940

+0.3682%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-11-01T00:00:00	ANONYMOUS	v4_computers	300000	2775000		-		-	-	0.657	-	-	2.056%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-14T00:00:00	Jocelyn Larouche	v4_computers	?	2⁵²		-	-	1.97720e-5	-	-
2001-09-16T00:00:00	Net_Force	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2003-06-30T00:00:00	AxelFox	v4_computers	?	2⁶⁰		-	-	0.003	-	-
2005-02-02T00:00:00	1997rj7	v4_computers	?	2⁶²		-	-	0.010	-	-
2005-09-22T00:00:00	Kuba Głoś	v4_computers	?	2⁶⁷		-	-	0.493	-	-
2005-11-01T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁸		-	-	0.985	-	-
2012-02-23T23:02:00	Craig Meyers	Manual testing	2⁶⁸	2⁷⁰		-	-	5.910	-	-
2017-08-23T10:53:42	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	7.881	-	-
2019-12-13T19:49:05	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	15.76	-	-
2019-12-13T19:49:05	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	31.52	-	-
2020-04-16T23:51:02	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	63.04	-	-
2020-12-01T10:14:13	-Anonymous-	Manual testing	2⁷⁴	2⁷⁵		-	-	126.1	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-11-27T00:00:00	ANONYMOUS	v4_computers	EE257EE23CC76F34	31.61
2013-05-21T10:10:00	ANONYMOUS	v4_computers	EE257EE23CC76F34	31.61

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 = 300000, B2 = 2775000 (stage 2)

B1 = 300000 (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	<	123M	PrimeNet wavefront