M24595609 Mersenne number exponent details

Residue

Status

L-L

B673ECA0587B1ACF

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	77.7718	65.7534%	961000	54042000	4.5316	5.3088%	82.3033	67.5715%	1.8181%
PrimeNet	2⁶⁶	0.6005	62.1212%	110000	4000000	0.3786	4.9666%	0.9791	64.0025%	1.8813%
GPU72	2⁷⁰	9.7152	64.2857%	170000	5000000	0.5094	3.6194%	10.2246	65.5784%	1.2927%
Difference	+3	+68.0566	+1.4677%	+791000	+49042000	+4.0221	+1.6894%	+72.0787	+1.9931%	+1.9931%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

77.7718

65.7534%

961000

54042000

4.5316

5.3088%

82.3033

67.5715%

1.8181%

PrimeNet

2⁶⁶

0.6005

62.1212%

110000

4000000

0.3786

4.9666%

0.9791

64.0025%

1.8813%

GPU72

2⁷⁰

9.7152

64.2857%

170000

5000000

0.5094

3.6194%

10.2246

65.5784%

1.2927%

Difference

+68.0566

+1.4677%

+791000

+49042000

+4.0221

+1.6894%

+72.0787

+1.9931%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-02-12T00:00:00	ANONYMOUS	v4_computers	370000	370000		-		-	-	0.435	-	-	1.265%
2021-08-21T12:26:18	Chuck	Colab	961000	54042000		-		-	-	4.532	-	-	5.309%

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	-	-
2001-12-22T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-25T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-02-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.208	-	-
2016-05-24T15:09:11	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.215	-	-
2018-02-24T20:15:44	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.431	-	-
2018-09-05T22:00:38	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.861	-	-
2021-08-05T15:55:10	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.72	-	-
2021-08-10T18:40:08	Sid & Andy	Manual testing	2⁷¹	2⁷²		-	-	19.44	-	-
2021-08-10T18:40:08	Sid & Andy	Manual testing	2⁷²	2⁷³		-	-	38.89	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-04-11T00:00:00	ANONYMOUS	v4_computers	B673ECA0587B1ACF	19.95
2010-10-19T16:58:00	lheun	Mac_Home	B673ECA0587B1ACF	19.95

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 = 961000, B2 = 54042000 (P-1 stage 2)

B1 = 961000 (P-1 stage 1)

B1 = 370000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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