M24553699 Mersenne number exponent details

Residue

Status

L-L

8793A96594288095

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	2⁷³	77.9045	65.7534%	240000	1800000	0.3822	2.1516%	78.2868	66.4903%	0.7369%
PrimeNet	2⁶⁶	0.6015	62.1212%	110000	4000000	0.3786	4.9655%	0.9801	64.0021%	1.8809%
GPU72	2⁷⁰	9.7318	64.2857%	170000	5000000	0.5094	3.6186%	10.2412	65.5781%	1.2924%
Difference	+3	+68.1728	+1.4677%	+70000	-3200000	-0.1272	-1.4670%	+68.0456	+0.9122%	+0.9122%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

77.9045

65.7534%

240000

1800000

0.3822

2.1516%

78.2868

66.4903%

0.7369%

PrimeNet

2⁶⁶

0.6015

62.1212%

110000

4000000

0.3786

4.9655%

0.9801

64.0021%

1.8809%

GPU72

2⁷⁰

9.7318

64.2857%

170000

5000000

0.5094

3.6186%

10.2412

65.5781%

1.2924%

Difference

+68.1728

+1.4677%

+70000

-3200000

-0.1272

-1.4670%

+68.0456

+0.9122%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-05-25T00:00:00	ANONYMOUS	v4_computers	240000	1800000		-		-	-	0.382	-	-	2.152%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-12-08T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-08T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-02-14T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁷		-	-	1.210	-	-
2016-05-24T15:08:56	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.217	-	-
2018-02-24T20:15:31	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.435	-	-
2018-09-13T12:14:13	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.869	-	-
2021-08-05T15:14:17	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.74	-	-
2021-08-30T17:16:19	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	19.48	-	-
2021-08-30T17:16:19	TheJudger	Manual testing	2⁷²	2⁷³		-	-	38.96	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-01-10T00:00:00	Grey Smith	v4_computers	8793A96594288095	19.92
2011-02-09T13:00:00	Fred Cirera		8793A96594288095	19.92

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 = 240000, B2 = 1800000 (P-1 stage 2)

B1 = 240000 (P-1 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	<	146M	PrimeNet wavefront