M3 333 121 217 Mersenne number exponent details

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is 2 ^3333121217 - 1

has 1003369466 decimal digits

takes 705,780.702 GHz-days to do one PRP test

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	2⁶⁸	0.0179	52.9412%	-	-	-	-	0.0179	52.9412%
Target	2⁹¹	150,455.6974	64.8352%	17000000	5000000000	88,575.5389	4.3011%	239,031.2364	66.3476%
Difference	-23	-150,455.6795	-11.8940%	-17000000	-5000000000	-88,575.5389	-4.3011%	-239,031.2185	-13.4065%

Known prime factors (1 factor, 62.9 bits, 0.00000189% 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
3333121217	8578804800539837609	19	62.895	1286902612 2² × 321725653	2014-01-04	4	321725653	0.0004	5,381.8	10,052

P-1 results:
No P-1 results for M3333121217

Trial Factoring results:
No TF results for M3333121217

ECM factoring results:
No ECM results for M3333121217

Lucas-Lehmer results:
No L-L results for M3333121217

PRP results:
No PRP results for M3333121217

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

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TF factor-bounds graph:

2⁶⁸

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-02T12:12:48+00:00