Definition:Quality of Integer Triple

Definition

Let $\tuple {a, b, c}$ be an ordered triple of (strictly) positive integers.

The quality of $\tuple {a, b, c}$ is defined and denoted as:

$\map q {a, b, c} := \dfrac {\ln c} {\map \ln {\map \Rad {abc} } }$

where $\Rad$ denotes the radical of an integer.

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