M24850337 Mersenne number exponent details

Residue

Status

L-L

9AB50DF515EE628B

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	307.9197	66.6667%	295000	7448750	0.8053	2.5229%	308.7251	67.5076%	0.8410%
PrimeNet	2⁶⁶	0.5943	62.1212%	110000	4000000	0.3786	4.9735%	0.9729	64.0051%	1.8839%
GPU72	2⁷⁰	9.6156	64.2857%	180000	5000000	0.5206	3.6573%	10.1361	65.5919%	1.3062%
Difference	+5	+298.3041	+2.3810%	+115000	+2448750	+0.2848	-1.1344%	+298.5889	+1.9157%	+1.9157%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

307.9197

66.6667%

295000

7448750

0.8053

2.5229%

308.7251

67.5076%

0.8410%

PrimeNet

2⁶⁶

0.5943

62.1212%

110000

4000000

0.3786

4.9735%

0.9729

64.0051%

1.8839%

GPU72

2⁷⁰

9.6156

64.2857%

180000

5000000

0.5206

3.6573%

10.1361

65.5919%

1.3062%

Difference

+298.3041

+2.3810%

+115000

+2448750

+0.2848

-1.1344%

+298.5889

+1.9157%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-07-13T00:00:00	ANONYMOUS	v4_computers	295000	7448750		-		-	-	0.805	-	-	2.523%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-18T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-31T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-03-08T00:00:00	Glenn	v4_computers	2¹	2⁶⁷		-	-	1.196	-	-
2016-06-03T12:22:29	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.203	-	-
2018-03-05T17:25:00	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.406	-	-
2018-08-30T22:16:18	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.811	-	-
2021-08-06T14:55:52	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.62	-	-
2021-08-30T16:19:55	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	19.25	-	-
2021-08-30T16:19:55	TheJudger	Manual testing	2⁷²	2⁷³		-	-	38.49	-	-
2021-10-01T19:39:32	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	76.98	-	-
2021-10-19T16:36:27	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	154.0	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-07-26T00:00:00	ANONYMOUS	v4_computers	9AB50DF515EE628B	20.16
2010-09-02T12:27:00	dswanson	v4_computers	9AB50DF515EE628B	20.16
2010-10-02T00:00:00	dswanson	v4_computers	9AB50DF515EE628B	20.16

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 = 295000, B2 = 7448750 (P-1 stage 2)

B1 = 295000 (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