M24811051 Mersenne number exponent details

Residue

Status

L-L

1F97548840E79302

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	154.2001	66.2162%	285000	5985000	0.7004	2.6622%	154.9005	67.1156%	0.8994%
PrimeNet	2⁶⁶	0.5952	62.1212%	110000	4000000	0.3786	4.9725%	0.9739	64.0047%	1.8835%
GPU72	2⁷⁰	9.6308	64.2857%	180000	5000000	0.5206	3.6565%	10.1514	65.5916%	1.3059%
Difference	+4	+144.5693	+1.9305%	+105000	+985000	+0.1799	-0.9943%	+144.7491	+1.5240%	+1.5240%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

154.2001

66.2162%

285000

5985000

0.7004

2.6622%

154.9005

67.1156%

0.8994%

PrimeNet

2⁶⁶

0.5952

62.1212%

110000

4000000

0.3786

4.9725%

0.9739

64.0047%

1.8835%

GPU72

2⁷⁰

9.6308

64.2857%

180000

5000000

0.5206

3.6565%

10.1514

65.5916%

1.3059%

Difference

+144.5693

+1.9305%

+105000

+985000

+0.1799

-0.9943%

+144.7491

+1.5240%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-12-13T00:00:00	ANONYMOUS	v4_computers	285000	5985000		-		-	-	0.700	-	-	2.662%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-06-03T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-31T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-03-01T00:00:00	Ryan Schulz	v4_computers	2¹	2⁶⁷		-	-	1.198	-	-
2016-05-24T15:10:32	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.205	-	-
2018-03-05T17:24:46	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.409	-	-
2018-08-30T22:16:07	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.819	-	-
2021-08-06T14:42:19	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.64	-	-
2021-08-30T16:08:32	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	19.28	-	-
2021-08-30T16:08:33	TheJudger	Manual testing	2⁷²	2⁷³		-	-	38.55	-	-
2021-10-01T19:40:50	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	77.10	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-02-02T00:00:00	ANONYMOUS	v4_computers	1F97548840E79302	20.12
2011-01-22T02:43:00	linded	D9BM6GJ1-SH135	1F97548840E79302	20.12

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 = 285000, B2 = 5985000 (P-1 stage 2)

B1 = 285000 (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