M24832793 Mersenne number exponent details

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M24832793

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is 2 ^24832793 - 1

has 7475416 decimal digits

takes 20.142 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	1.1966	62.6866%	-	-	-	-	1.1966	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5947	62.1212%	110000	4000000	0.3786	4.9730%	0.9733	64.0049%	1.8837%
GPU72	2⁷⁰	9.6224	64.2857%	180000	5000000	0.5206	3.6569%	10.1429	65.5918%	1.3060%
Difference	-3	-8.4258	-1.5991%	-180000	-5000000	-0.5206	-3.6569%	-8.9464	-2.9052%	-2.9052%

Known prime factors (3 factors, 189.7 bits, 0.00076392% 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
24832793	720708689481245873	18	59.322	14511228952 2³ × 11² × 761 × 19699	2003-07-30	761	19699	0.0051	0.0021	0.0024
24832793	18188993516560430167	20	63.980	366229314531 3² × 3251 × 12516809	2017-06-20	3251	12516809	0.0959	0.8057	1.4980
24832793	97356850506924959257	20	66.400	1960247695596 2² × 3 × 29 × 1259 × 4474103	2020-03-05	1259	4474103	0.5994	0.2881	0.5355

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24832793	720708689481245873 18188993516560430167	13108965680303145478803085235973450791	38	123.302
24832793	720708689481245873 97356850506924959257	70165928140867455322226478636124396361	38	125.722
24832793	18188993516560430167 97356850506924959257	1770823122663201113012327167184868705919	40	130.380
24832793	720708689481245873 18188993516560430167 97356850506924959257	12762476120376831822970934581070795930135081229613 69422287	58	189.702

P-1 results:
No P-1 results for M24832793

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-31T00:00:00	Net_Force	v4_computers	?	?	720708689481245873	59.322	18	0.002	41.63	0.004
2003-07-30T00:00:00	Architects Cubed	v4_computers	?	?	720708689481245873	59.322	18	0.002	41.63	0.004
2001-06-09T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2022-06-24T05:19:18	LordJulius	Manual testing	2¹	2⁶³	720708689481245873	59.322	18	0.005	41.63	0.011
2017-06-20T15:22:03	TJAOI	Manual testing	2⁶³	2⁶⁴*	18188993516560430167	63.980	20	0.032	41.49	0.065
2022-04-07T12:00:52	James Heinrich	Manual testing	2⁶⁴	2⁶⁶		-	-	0.451	-	-
2020-03-05T11:45:48	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	97356850506924959257	66.400	20	0.005	41.04	0.010

ECM factoring results:
No ECM results for M24832793

Lucas-Lehmer results:
No L-L results for M24832793

PRP results:
No PRP results for M24832793

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

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁴

2⁶³

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:19:18+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