M24671393 Mersenne number exponent details

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M24671393

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>>>

is 2 ^24671393 - 1

has 7426830 decimal digits

takes 20.011 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	1.2044	62.6866%	-	-	-	-	1.2044	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5986	62.1212%	110000	4000000	0.3786	4.9687%	0.9772	64.0033%	1.8821%
GPU72	2⁷⁰	9.6853	64.2857%	170000	5000000	0.5094	3.6209%	10.1948	65.5789%	1.2932%
Difference	-3	-8.4809	-1.5991%	-170000	-5000000	-0.5094	-3.6209%	-8.9904	-2.8923%	-2.8923%

Known prime factors (2 factors, 126.1 bits, 0.00051130% 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
24671393	1791945185118478279	19	60.636	36316254723 3 × 7 × 1729345463	2003-08-25	7	1729345463	0.0074	110.81	206.97
24671393	52495982159053980031	20	65.509	1063903893855 3 × 5 × 11 × 6447902387	2018-12-20	11	6447902387	0.3282	413.17	771.68

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24671393	1791945185118478279 52495982159053980031	94069922467982317292256020557173246649	38	126.145

P-1 results:
No P-1 results for M24671393

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	Architects Cubed	v4_computers	?	?	1791945185118478279	60.636	19	0.001	41.37	0.003
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	-	-
2003-08-31T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2022-06-24T05:04:20	LordJulius	Manual testing	2⁶⁰	2⁶⁵	1791945185118478279	60.636	19	0.001	41.37	0.003
2018-12-20T12:13:44	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	52495982159053980031	65.509	20	0.032	40.78	0.066

ECM factoring results:
No ECM results for M24671393

Lucas-Lehmer results:
No L-L results for M24671393

PRP results:
No PRP results for M24671393

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:04:20+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