M24850321 Mersenne number exponent details

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M24850321

<<<

>>>

is 2 ^24850321 - 1

has 7480693 decimal digits

takes 20.156 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	1.1957	62.6866%	-	-	-	-	1.1957	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5943	62.1212%	110000	4000000	0.3786	4.9735%	0.9729	64.0051%	1.8839%
GPU72	2⁷⁰	9.6156	64.2857%	180000	5000000	0.5206	3.6573%	10.1362	65.5919%	1.3062%
Difference	-3	-8.4199	-1.5991%	-180000	-5000000	-0.5206	-3.6573%	-8.9404	-2.9053%	-2.9053%

Known prime factors (3 factors, 161.4 bits, 0.00064935% 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
24850321	45492935947639	14	45.371	915339 3 × 305113	-	3	305113	2.123e-7	0.0196	0.0365
24850321	148513727848045561	18	57.043	2988165180 2² × 3 × 5 × 7 × 11² × 13 × 4523	2015-08-06	121	4523	0.0008	0.0004	0.0005
24850321	557722802499545231	18	58.952	11221641815 5 × 2281 × 983923	2015-10-14	2281	983923	0.0028	0.0656	0.1178

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24850321	45492935947639 148513727848045561	6756325508336227127805582380479	31	102.414
24850321	45492935947639 557722802499545231	25372447730649527561309528159609	32	104.323
24850321	148513727848045561 557722802499545231	82829492505066724989104974668269591	35	115.996
24850321	45492935947639 148513727848045561 557722802499545231	3768156797108445138601154522710684155503911945649	49	161.366

P-1 results:
No P-1 results for M24850321

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-05-20T11:27:00	TJAOI	Manual testing	2⁵⁷	2⁵⁸*	148513727848045561	57.043	18	-	41.66	-
2015-10-14T11:43:20	TJAOI	Manual testing	2⁵⁸	2⁵⁹*	557722802499545231	58.952	18	0.001	41.66	0.003

ECM factoring results:
No ECM results for M24850321

Lucas-Lehmer results:
No L-L results for M24850321

PRP results:
No PRP results for M24850321

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

TF factor-bounds graph:

2⁶⁷

2⁵⁹

2⁵⁸

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-10-14T11:43:20+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