M24811013 Mersenne number exponent details

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M24811013

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is 2 ^24811013 - 1

has 7468860 decimal digits

takes 20.124 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	1.1976	62.6866%	-	-	-	-	1.1976	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5952	62.1212%	110000	4000000	0.3786	4.9725%	0.9739	64.0047%	1.8835%
GPU72	2⁷⁰	9.6308	64.2857%	180000	5000000	0.5206	3.6565%	10.1514	65.5916%	1.3059%
Difference	-3	-8.4332	-1.5991%	-180000	-5000000	-0.5206	-3.6565%	-8.9538	-2.9050%	-2.9050%

Known prime factors (3 factors, 152.3 bits, 0.00061395% 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
24811013	148866079	9	27.149	3 3	-	1	3	7.211e-13	1.304e-6	2.394e-6
24811013	890745052332724111	18	59.628	17950598235 3² × 5 × 89 × 4482047	2015-12-03	89	4482047	0.0058	0.2873	0.5364
24811013	54029601300732126791	20	65.550	1088822961415 5 × 7 × 17 × 127 × 14409091	2019-01-10	127	14409091	0.4971	0.9234	1.7245

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24811013	148866079 890745052332724111	132601723329422441793330769	27	86.777
24811013	148866079 54029601300732126791	8043174895573291544707022489	28	92.700
24811013	890745052332724111 54029601300732126791	48126600038136856976990428667674757801	38	125.178
24811013	148866079 890745052332724111 54029601300732126791	7164418243278684363548358336285935241109532279	46	152.328

P-1 results:
No P-1 results for M24811013

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-12-03T12:05:12	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	890745052332724111	59.628	18	0.003	41.60	0.006
2022-06-24T05:19:17	LordJulius	Manual testing	2⁶⁰	2⁶⁵		-	-	0.288	-	-
2019-01-10T15:41:20	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	54029601300732126791	65.550	20	0.203	41.01	0.414

ECM factoring results:
No ECM results for M24811013

Lucas-Lehmer results:
No L-L results for M24811013

PRP results:
No PRP results for M24811013

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:19:17+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