M24336799 Mersenne number exponent details

Residue

Status

L-L

07F33A34D81204F2

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	157.2050	66.2162%	108000	4054000	0.3799	2.0080%	157.5848	66.8946%	0.6784%
PrimeNet	2⁶⁶	0.6068	62.1212%	110000	4000000	0.3786	4.9596%	0.9855	63.9998%	1.8786%
GPU72	2⁷⁰	9.8185	64.2857%	170000	5000000	0.5094	3.6142%	10.3279	65.5765%	1.2908%
Difference	+4	+147.3865	+1.9305%	-62000	-946000	-0.1296	-1.6062%	+147.2569	+1.3181%	+1.3181%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

157.2050

66.2162%

108000

4054000

0.3799

2.0080%

157.5848

66.8946%

0.6784%

PrimeNet

2⁶⁶

0.6068

62.1212%

110000

4000000

0.3786

4.9596%

0.9855

63.9998%

1.8786%

GPU72

2⁷⁰

9.8185

64.2857%

170000

5000000

0.5094

3.6142%

10.3279

65.5765%

1.2908%

Difference

+147.3865

+1.9305%

-62000

-946000

-0.1296

-1.6062%

+147.2569

+1.3181%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-05-15T00:00:00	ANONYMOUS	v4_computers	370000	370000		-		-	-	0.435	-	-	1.116%
2021-04-26T00:11:47	Architects Cubed	gpu72ng	108000	4054000		-		-	-	0.380	-	-	2.008%

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	-	-
2003-08-08T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.221	-	-
2016-05-03T18:49:47	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.228	-	-
2018-02-12T00:45:50	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.456	-	-
2018-08-17T15:16:52	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.913	-	-
2021-08-05T15:16:31	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.83	-	-
2021-08-30T17:15:06	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	19.65	-	-
2021-08-30T17:15:06	TheJudger	Manual testing	2⁷²	2⁷³		-	-	39.30	-	-
2021-09-16T20:20:25	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	78.61	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-06-04T00:00:00	ANONYMOUS	v4_computers	07F33A34D81204F2	19.74
2011-05-01T15:15:00	jccotham	numfar	07F33A34D81204F2	19.74

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 = 370000 (P-1 stage 1)

B1 = 108000, B2 = 4054000 (P-1 stage 2)

B1 = 108000 (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