M53642333 Mersenne number exponent details

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M53642333

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is 2 ^53642333 - 1

has 16147952 decimal digits

takes 105.981 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	2⁶⁸	1.1112	61.7647%	-	-	-	-	1.1112	61.7647%	0.0000%
PrimeNet	2⁶⁹	2.2256	62.3188%	240000	10000000	2.2109	5.3389%	4.4365	64.3306%	2.0118%
GPU72	2⁷³	35.6592	64.3836%	360000	12000000	2.8481	3.9176%	38.5073	65.7789%	1.3953%
Difference	-5	-34.5481	-2.6189%	-360000	-12000000	-2.8481	-3.9176%	-37.3962	-4.0142%	-4.0142%

Known prime factors (2 factors, 111.6 bits, 0.00020807% 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
53642333	19771276527809	14	44.168	184288 2⁵ × 13 × 443	2000-01-12	32	443	8.254e-8	0.0002	0.0002
53642333	200801218105649348599	21	67.444	1871667458103 3 × 623889152701	2022-08-05	3	623889152701	0.7931	97,377	181,872

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
53642333	19771276527809 200801218105649348599	3970096410287680557495719358689591	34	111.613

P-1 results:
No P-1 results for M53642333

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-01-12T00:00:00	ANONYMOUS	v4_computers	?	?	19771276527809	44.168	14	3.88476e-8	218.2	7.99876e-8
1999-12-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³	MISSED FACTOR!	-	-	2.23690e-5	-	-
2022-08-10T19:29:26	LordJulius	Manual testing	2¹	2⁶⁶	19771276527809	44.168	14	8.25370e-8	218.2	1.69944e-7
2022-08-10T19:29:26	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.279	-	-
2022-08-05T09:30:00	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200801218105649348599	67.444	21	0.239	217.1	0.490
2022-08-10T19:29:26	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200801218105649348599	67.444	21	0.239	217.1	0.490

ECM factoring results:
No ECM results for M53642333

Lucas-Lehmer results:
No L-L results for M53642333

PRP results:
No PRP results for M53642333

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

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁵³

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:26+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