M24330949 Mersenne number exponent details

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M24330949

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is 2 ^24330949 - 1

has 7324346 decimal digits

takes 19.735 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	1.2212	62.6866%	-	-	-	-	1.2212	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6070	62.1212%	110000	4000000	0.3786	4.9594%	0.9856	63.9998%	1.8786%
GPU72	2⁷⁰	9.8209	64.2857%	170000	5000000	0.5094	3.6141%	10.3303	65.5765%	1.2907%
Difference	-3	-8.5996	-1.5991%	-170000	-5000000	-0.5094	-3.6141%	-9.1090	-2.8899%	-2.8899%

Known prime factors (3 factors, 164.8 bits, 0.00067722% 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
24330949	173350566354607	15	47.301	3562347 3 × 79 × 15031	-	79	15031	8.251e-7	0.0011	0.0018
24330949	240547871375979199	18	57.739	4943248851 3 × 691 × 2384587	2015-07-13	691	2384587	0.0010	0.1536	0.2854
24330949	958620262143177079	18	59.734	19699606911 3 × 6133 × 1070689	2015-12-10	6133	1070689	0.0037	0.0754	0.1281

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24330949	173350566354607 240547871375979199	41699109738421151975898489819793	32	105.040
24330949	173350566354607 958620262143177079	166177365361521574980682308452953	33	107.034
24330949	240547871375979199 958620262143177079	230594063516424421835210550477579721	36	117.473
24330949	173350566354607 240547871375979199 958620262143177079	39973611508582392902725222608178522618675198124647	50	164.774

P-1 results:
No P-1 results for M24330949

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-07-13T10:55:00	TJAOI	Manual testing	2⁵⁷	2⁵⁸*	240547871375979199	57.739	18	0.000	40.83	0.000
2015-12-10T12:48:51	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	958620262143177079	59.734	18	0.001	40.83	0.001
2022-06-24T04:22:43	LordJulius	Manual testing	2¹	2⁶⁰	173350566354607	47.301	15	8.25115e-7	40.83	1.70727e-6
2022-06-24T04:22:43	LordJulius	Manual testing	2¹	2⁶⁰	240547871375979199	57.739	18	0.001	40.83	0.002
2022-06-24T04:22:43	LordJulius	Manual testing	2¹	2⁶⁰	958620262143177079	59.734	18	0.004	40.83	0.008

ECM factoring results:
No ECM results for M24330949

Lucas-Lehmer results:
No L-L results for M24330949

PRP results:
No PRP results for M24330949

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

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁰

2⁵⁸

2⁴⁰

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