M3 618 384 859 Mersenne number exponent details

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is 2 ^3618384859 - 1

has 1089242379 decimal digits

takes 836,709.619 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	0.0165	52.9412%	-	-	-	-	0.0165	52.9412%
Target	2⁹²	277,188.3572	65.2174%	18000000	5500000000	106,179.5979	4.0967%	383,367.9552	66.6423%
Difference	-24	-277,188.3407	-12.2762%	-18000000	-5500000000	-106,179.5979	-4.0967%	-383,367.9387	-13.7012%

Known prime factors (1 factor, 42.4 bits, 0.00000117% 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
3618384859	5876257011017	13	42.418	812 2² × 7 × 29	2012-08-20	7	29	3.131e-10	0.0027	0.0048

P-1 results:
No P-1 results for M3618384859

Trial Factoring results:
No TF results for M3618384859

ECM factoring results:
No ECM results for M3618384859

Lucas-Lehmer results:
No L-L results for M3618384859

PRP results:
No PRP results for M3618384859

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

10⁰

10¹

10²

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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