M24743899 Mersenne number exponent details

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M24743899

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is 2 ^24743899 - 1

has 7448656 decimal digits

takes 20.070 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	1.2009	62.6866%	-	-	-	-	1.2009	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5969	62.1212%	110000	4000000	0.3786	4.9707%	0.9755	64.0040%	1.8828%
GPU72	2⁷⁰	9.6570	64.2857%	170000	5000000	0.5094	3.6224%	10.1664	65.5794%	1.2937%
Difference	-3	-8.4561	-1.5991%	-170000	-5000000	-0.5094	-3.6224%	-8.9655	-2.8929%	-2.8929%

Known prime factors (2 factors, 124.2 bits, 0.00050194% 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
24743899	976228442505581929	18	59.760	19726649436 2² × 3 × 13 × 126452881	2003-08-08	13	126452881	0.0048	8.1028	15.134
24743899	25013002010200373231	20	64.439	505437764885 5 × 23 × 1223 × 3593713	2017-10-10	1223	3593713	0.2362	0.2316	0.4301

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24743899	976228442505581929 25013002010200373231	24418403994806900273515618476648942599	38	124.199

P-1 results:
No P-1 results for M24743899

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	Net_Force	v4_computers	?	?	976228442505581929	59.760	18	0.002	41.49	0.003
2003-08-08T00:00:00	Architects Cubed	v4_computers	?	?	976228442505581929	59.760	18	0.002	41.49	0.003
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-10T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-12-22T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2022-06-24T05:04:23	LordJulius	Manual testing	2¹	2⁶⁴	976228442505581929	59.760	18	0.005	41.49	0.010
2017-10-10T11:34:37	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	25013002010200373231	64.439	20	0.092	41.20	0.190

ECM factoring results:
No ECM results for M24743899

Lucas-Lehmer results:
No L-L results for M24743899

PRP results:
No PRP results for M24743899

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

TF factor-bounds graph:

2⁶⁷

2⁶⁵

2⁶⁴

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:04:23+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