M283280773 Mersenne number exponent details

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M283280773

<<<

is 2 ^283280773 - 1

has 85276010 decimal digits

takes 3,383.631 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	0.1049	56.7164%	-	-	-	-	0.1049	56.7164%	0.0000%
PrimeNet	2⁷⁶	54.0241	61.8421%	1100000	70000000	84.0662	5.6551%	138.0903	64.0000%	2.1579%
GPU72	2⁸⁰	864.3953	63.7500%	1700000	70000000	93.8917	4.1730%	958.2870	65.2627%	1.5127%
Difference	-13	-864.2904	-7.0336%	-1700000	-70000000	-93.8917	-4.1730%	-958.1821	-8.5463%	-8.5463%

Known prime factors (3 factors, 160.6 bits, 0.00005670% 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
283280773	4532492369	10	32.078	8 2³	-	8	8	2.023e-12	0.0001	0.0003
283280773	2466373203303701831	19	61.097	4353230855 5 × 870646171	2016-04-01	5	870646171	0.0019	821.55	1,534.4
283280773	200965131722251563911	21	67.446	354710151335 5 × 887 × 1471 × 54371	2022-08-05	1471	54371	0.1084	0.0754	0.0958

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
283280773	4532492369 2466373203303701831	11178817723080114138458827639	29	93.175
283280773	4532492369 200965131722251563911	910872925966185040924923295159	30	99.523
283280773	2466373203303701831 200965131722251563911	495655015678159974526136260335384221041	39	128.543
283280773	4532492369 2466373203303701831 200965131722251563911	2246552576217835444500946991024326362551341736129	49	160.620

P-1 results:
No P-1 results for M283280773

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-04-01T11:05:25	TJAOI	Manual testing	2⁶¹	2⁶²*	2466373203303701831	61.097	19	0.001	6,939	0.002
2022-08-05T09:34:10	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200965131722251563911	67.446	21	0.004	6,939	0.007

ECM factoring results:
No ECM results for M283280773

Lucas-Lehmer results:
No L-L results for M283280773

PRP results:
No PRP results for M283280773

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:

2⁶⁸

2⁶⁷

2⁶²

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-05T09:34:10+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