M24636827 Mersenne number exponent details

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M24636827

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is 2 ^24636827 - 1

has 7416424 decimal digits

takes 19.983 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	1.2061	62.6866%	-	-	-	-	1.2061	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5994	62.1212%	110000	4000000	0.3786	4.9678%	0.9781	64.0029%	1.8817%
GPU72	2⁷⁰	9.6989	64.2857%	170000	5000000	0.5094	3.6203%	10.2084	65.5787%	1.2929%
Difference	-3	-8.4928	-1.5991%	-170000	-5000000	-0.5094	-3.6203%	-9.0023	-2.8921%	-2.8921%

Known prime factors (3 factors, 185.9 bits, 0.00075460% 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
24636827	1016237201027429399	19	59.818	20624352337 479 × 1979 × 21757	2003-08-08	1979	21757	0.0048	0.0036	0.0047
24636827	7686117684492300689	19	62.737	155988384472 2³ × 19498548059	2016-10-04	8	19498548059	0.0482	1,249.4	2,333.6
24636827	11787294548910475513	20	63.354	239221035828 2² × 3³ × 2215009591	2017-02-01	27	2215009591	0.1432	141.93	265.09

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24636827	1016237201027429399 7686117684492300689	7810918722455882346968626917026555911	37	122.555
24636827	1016237201027429399 11787294548910475513	11978687220070657640222749561125806687	38	123.172
24636827	7686117684492300689 11787294548910475513	90598533084700502001192843186367528457	38	126.091
24636827	1016237201027429399 7686117684492300689 11787294548910475513	92069599679186997389782064485837075448132835155690 907343	56	185.909

P-1 results:
No P-1 results for M24636827

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	?	?	1016237201027429399	59.818	19	0.002	41.32	0.003
2003-08-08T00:00:00	Architects Cubed	v4_computers	?	?	1016237201027429399	59.818	19	0.002	41.32	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	-	-
2022-06-24T05:04:19	LordJulius	Manual testing	2¹	2⁶²	1016237201027429399	59.818	19	0.005	41.32	0.010
2016-10-04T15:38:19	TJAOI	Manual testing	2⁶²	2⁶³*	7686117684492300689	62.737	19	0.023	41.26	0.048
2017-02-01T17:31:12	TJAOI	Manual testing	2⁶³	2⁶⁴*	11787294548910475513	63.354	20	0.078	41.18	0.162

ECM factoring results:
No ECM results for M24636827

Lucas-Lehmer results:
No L-L results for M24636827

PRP results:
No PRP results for M24636827

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

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁷

2⁶⁴

2⁶³

2⁶²

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:04:19+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