M333 595 501 Mersenne number exponent details

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M333595501

<<<

is 2 ^333595501 - 1

has 100422253 decimal digits

takes 4,962.233 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁷⁴	11.4686	60.8108 %	-	-	-	-	11.4686	60.8108 %
Target	2⁸¹	1,468.0453	64.1975 %	2000000	400000000	510.8373	4.0582 %	1,978.8825	65.6504 %
Difference	-7	-1,456.5767	-3.3867 %	-2000000	-400000000	-510.8373	-4.0582 %	-1,967.4139	-4.8396 %

Known prime factors (1 factor, 73.5 bits, 0.00002202% 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
333595501	13108470732847478911943	23	73.473	19647253475471 23 × 257 × 3323845961	2020-01-01	257	3323845961	8.1309	3,905.9	7,295.2

P-1 results:
No P-1 results for M333595501

Trial Factoring results:

			Bits		Factor
date	userid	compid	from	to	factor	bits*	digits	GHz-days
2010-10-29	Architects Cubed	m1_10	2⁶⁵	2⁶⁶				0.022
2012-04-30	LaurV	Manual testing	2⁶⁶	2⁶⁹				0.314
2016-01-21	Jacques MOLNE	Manual testing	2⁶⁹	2⁷²				2.509
2020-01-01	ViliamF	Manual testing	2⁷²	2⁷⁴	13108470732847478911943	73.473	23	5.579

ECM factoring results:
No ECM results for M333595501

Lucas-Lehmer results:
No L-L results for M333595501

PRP results:
No PRP results for M333595501

CERT results:
No CERT results for M333595501

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁴

2⁷²

2⁶⁹

2⁶⁶

this exponent TF target: 81

TF double-checked to: 67

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

JSON version of this page

Last modified: 2024-04-17T15:19:26+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