M2 446 533 137 Mersenne number exponent details

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is 2 ^2446533137 - 1

has 736479860 decimal digits

takes 377,513.655 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	0.0244	52.9412%	-	-	-	-	0.0244	52.9412%
Target	2⁹⁰	102,489.3286	64.4444%	13000000	4000000000	51,510.7435	4.2424%	154,000.0721	65.9529%
Difference	-22	-102,489.3042	-11.5033%	-13000000	-4000000000	-51,510.7435	-4.2424%	-154,000.0477	-13.0117%

Known prime factors (1 factor, 33.8 bits, 0.00000138% 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
2446533137	14679198823	11	33.773	3 3	2012-08-20	1	3	4.711e-13	0.0002	0.0005

P-1 results:
No P-1 results for M2446533137

Trial Factoring results:
No TF results for M2446533137

ECM factoring results:
No ECM results for M2446533137

Lucas-Lehmer results:
No L-L results for M2446533137

PRP results:
No PRP results for M2446533137

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: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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