Problem #PRU-78650

Problems Calculus Derivative Increasing and decreasing. Researching functions Algebra Surds. Rational powers. Irrational equations.

Problem

The number \(n\) has the property that when it is divided by \(q^2\) the remainder is smaller than \(q^2 / 2\), whatever the value of \(q\). List all numbers that have this property.