M24434387 Mersenne number exponent details

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M24434387

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is 2 ^24434387 - 1

has 7355484 decimal digits

takes 19.819 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	C08471F632E56B42	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	313.1615	66.6667%	285000	6056250	0.7050	2.3895%	313.8665	67.4632%	0.7965%
PrimeNet	2⁶⁶	0.6044	62.1212%	110000	4000000	0.3786	4.9623%	0.9830	64.0009%	1.8796%
GPU72	2⁷⁰	9.7793	64.2857%	170000	5000000	0.5094	3.6162%	10.2887	65.5772%	1.2915%
Difference	+5	+303.3822	+2.3810%	+115000	+1056250	+0.1956	-1.2267%	+303.5778	+1.8860%	+1.8860%

Known prime factors:
No known factors for M24434387

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-07-26T00:00:00	ANONYMOUS	v4_computers	285000	6056250		-		-	-	0.705	-	-	2.390%

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	-	-
2001-12-01T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-08T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.216	-	-
2016-05-24T15:08:15	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.223	-	-
2018-02-12T00:46:22	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.447	-	-
2018-09-18T10:53:32	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.893	-	-
2021-08-05T15:20:02	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.79	-	-
2021-08-30T16:16:40	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	19.57	-	-
2021-08-30T16:16:40	TheJudger	Manual testing	2⁷²	2⁷³		-	-	39.15	-	-
2021-10-01T19:53:19	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	78.29	-	-
2021-10-22T16:53:52	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	156.6	-	-

ECM factoring results:
No ECM results for M24434387

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-08-20T00:00:00	ANONYMOUS	v4_computers	C08471F632E56B42	19.82
2011-01-01T22:15:00	ANONYMOUS		C08471F632E56B42	19.82

PRP results:
No PRP results for M24434387

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 = 6056250 (P-1 stage 2)

B1 = 285000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁰

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-10-22T16:53:52+00:00

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