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:
 * $\map q {a, b, c} := \dfrac {\ln c} {\map \ln {\map {\operatorname {rad} } {abc} } }$

where $\operatorname {rad}$ denotes the radical of an integer.