# Unfortunately \(A\) cannot be \(0\)

**Number Theory**Level pending

Given that \(m, n \in \mathbb{Z^{+}}\), \(m \leq 6008\) and \(\large{A = \Big(3 - \frac{m}{n}\Big)}\) find the smallest positive number \(A\).

If \(\large{A_{min} = \Big(\frac{a}{b}\Big)^c}\) for \(a, b, c \in \mathbb{Z}\) insert the number \((a + b + c)\) as your answer.