M24954593 Mersenne number exponent details

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M24954593

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is 2 ^24954593 - 1

has 7512082 decimal digits

takes 21.385 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	2282920A2E0541F0	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	306.6333	66.6667%	285000	5985000	0.7400	2.3902%	307.3733	67.4634%	0.7967%
PrimeNet	2⁶⁶	0.5918	62.1212%	110000	4000000	0.4000	4.9763%	0.9918	64.0062%	1.8850%
GPU72	2⁷⁰	9.5754	64.2857%	180000	5000000	0.5500	3.6594%	10.1254	65.5926%	1.3069%
Difference	+5	+297.0579	+2.3810%	+105000	+985000	+0.1900	-1.2692%	+297.2479	+1.8708%	+1.8708%

Known prime factors:
No known factors for M24954593

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	285000	5985000		-		-	-	0.740	-	-	2.390%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-25T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-05-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.191	-	-
2016-06-03T12:23:08	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.198	-	-
2018-03-05T17:25:34	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	2.396	-	-
2018-08-17T15:16:55	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.791	-	-
2021-08-12T16:50:11	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	9.58	-	-
2021-08-16T15:44:50	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	9.58	-	-
2021-08-30T16:28:55	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	19.17	-	-
2021-08-30T16:28:55	TheJudger	Manual testing	2⁷²	2⁷³		-	-	38.33	-	-
2021-09-19T17:53:35	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	76.66	-	-
2021-10-19T16:35:24	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	153.3	-	-

ECM factoring results:
No ECM results for M24954593

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-08-06T00:00:00	ANONYMOUS	v4_computers	2282920A2E0541F0	21.38
2011-05-02T11:41:00	ArcticDean	58-207-2	2282920A2E0541F0	21.38

PRP results:
No PRP results for M24954593

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

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-10-19T16:35:24+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