Problem of the Week
Problem
E
Sum
Product Function
A function, \(g\), has \(g(2) = 5\) and \(g(3) = 7\). In addition, \(g\) has the property that \[g(a) + g(b) = g(ab)\] for all positive
integers \(a\) and \(b\).
For example, \(g(6) = g(2) + g(3) =
12\).