M24949711 Mersenne number exponent details

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M24949711

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is 2 ^24949711 - 1

has 7510612 decimal digits

takes 21.381 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	1.1910	62.6866%	-	-	-	-	1.1910	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5919	62.1212%	110000	4000000	0.4000	4.9762%	0.9920	64.0061%	1.8849%
GPU72	2⁷⁰	9.5773	64.2857%	180000	5000000	0.5500	3.6593%	10.1273	65.5926%	1.3069%
Difference	-3	-8.3863	-1.5991%	-180000	-5000000	-0.5500	-3.6593%	-8.9363	-2.9060%	-2.9060%

Known prime factors (2 factors, 126.9 bits, 0.00050849% 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
24949711	2611791930287117663	19	61.180	52341125921 7 × 23 × 325100161	2003-10-23	23	325100161	0.0127	22.009	41.106
24949711	59439127055881618561	20	65.688	1191178668480 2⁶ × 3 × 5 × 17 × 72988889	2019-03-20	64	72988889	0.4791	4.9413	9.2289

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24949711	2611791930287117663 59439127055881618561	155242632387862293644002813455891742943	39	126.868

P-1 results:
No P-1 results for M24949711

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-10-23T00:00:00	Architects Cubed	v4_computers	?	?	2611791930287117663	61.180	19	0.000	44.13	0.001
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-25T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2022-06-24T05:24:59	LordJulius	Manual testing	2⁶⁰	2⁶⁵	2611791930287117663	61.180	19	0.007	44.13	0.014
2019-03-20T13:32:04	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	59439127055881618561	65.688	20	0.187	43.56	0.380

ECM factoring results:
No ECM results for M24949711

Lucas-Lehmer results:
No L-L results for M24949711

PRP results:
No PRP results for M24949711

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

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:24:59+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