M333 333 367 Mersenne number exponent details

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is 2 ^333333367 - 1

has 100343343 decimal digits

takes 4,958.334 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	2⁶⁷	0.0891	56.7164%	-	-	-	-	0.0891	56.7164%
Target	2⁸¹	1,469.1997	64.1975%	2000000	640000000	792.8673	4.0578%	2,262.0670	65.6503%
Difference	-14	-1,469.1106	-7.4811%	-2000000	-640000000	-792.8673	-4.0578%	-2,261.9779	-8.9339%

Known prime factors (2 factors, 85.0 bits, 0.00002549% 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
333333367	91333342559	11	36.410	137 137	-	1	137	2.828e-11	0.0002	0.0003
333333367	410483374792151	15	48.544	615725 5² × 11 × 2239	-	25	2239	1.433e-7	0.0031	0.0049

1 Composite Factors:

P-1 results:
No P-1 results for M333333367

Trial Factoring results:
No TF results for M333333367

ECM factoring results:
No ECM results for M333333367

Lucas-Lehmer results:
No L-L results for M333333367

PRP results:
No PRP results for M333333367

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

TF factor-bounds graph:

this exponent TF target: 81

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

Last modified: 2023-06-05T21:50:05+00:00