M24336857 Mersenne number exponent details

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M24336857

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is 2 ^24336857 - 1

has 7326124 decimal digits

takes 19.740 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	1.2209	62.6866%	-	-	-	-	1.2209	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6068	62.1212%	110000	4000000	0.3786	4.9596%	0.9855	63.9998%	1.8786%
GPU72	2⁷⁰	9.8185	64.2857%	170000	5000000	0.5094	3.6142%	10.3279	65.5765%	1.2908%
Difference	-3	-8.5975	-1.5991%	-170000	-5000000	-0.5094	-3.6142%	-9.1070	-2.8899%	-2.8899%

Known prime factors (2 factors, 125.4 bits, 0.00051507% 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
24336857	1458516925591476383	19	60.339	29965186663 17² × 163 × 636109	2003-08-25	289	636109	0.0072	0.0411	0.0761
24336857	37201592682536726783	20	65.012	764305610263 13 × 53 × 1109296967	2018-04-19	53	1109296967	0.5379	71.081	132.76

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24336857	1458516925591476383 37201592682536726783	54259152586439831428812392697268065889	38	125.351

P-1 results:
No P-1 results for M24336857

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	?	?	1458516925591476383	60.339	19	0.001	40.83	0.002
2001-08-18T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-08T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2022-06-24T04:22:43	LordJulius	Manual testing	2⁶⁰	2⁶⁵	1458516925591476383	60.339	19	0.001	40.83	0.002
2018-04-19T13:44:13	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	37201592682536726783	65.012	20	0.238	40.24	0.485

ECM factoring results:
No ECM results for M24336857

Lucas-Lehmer results:
No L-L results for M24336857

PRP results:
No PRP results for M24336857

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

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10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T04:22:43+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