M24558419 Mersenne number exponent details

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M24558419

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>>>

is 2 ^24558419 - 1

has 7392821 decimal digits

takes 19.920 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
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	2⁶⁷	1.2099	62.6866%	-	-	-	-	1.2099	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6014	62.1212%	110000	4000000	0.3786	4.9656%	0.9800	64.0021%	1.8809%
GPU72	2⁷⁰	9.7299	64.2857%	170000	5000000	0.5094	3.6187%	10.2393	65.5781%	1.2924%
Difference	-3	-8.5200	-1.5991%	-170000	-5000000	-0.5094	-3.6187%	-9.0294	-2.8915%	-2.8915%

Known prime factors (2 factors, 132.5 bits, 0.00053938% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24558419	82527007131338700433	20	66.162	1680218240664 2³ × 3 × 211 × 281 × 1180771	2019-11-12	281	1180771	1.1341	0.0760	0.1413
24558419	90986244132279951391	20	66.302	1852445064405 3 × 5 × 13 × 71 × 6011 × 22259	2004-05-11	6011	22259	0.6942	0.0081	0.0144

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24558419	82527007131338700433 90986244132279951391	7508822418358391536018037298034350652303	40	132.464

P-1 results:
No P-1 results for M24558419

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-05-11T00:00:00	WorknPlay	v4_computers	?	?	90986244132279951391	66.302	20	0.093	40.60	0.189
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-12-08T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-08T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2022-06-24T04:35:13	LordJulius	Manual testing	2⁶⁰	2⁶⁵		-	-	0.291	-	-
2022-06-24T04:35:13	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.304	-	-
2019-11-12T12:08:52	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	82527007131338700433	66.162	20	0.533	40.60	1.086

ECM factoring results:
No ECM results for M24558419

Lucas-Lehmer results:
No L-L results for M24558419

PRP results:
No PRP results for M24558419

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

10¹

10²

10³

10⁴

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T04:35:13+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