Problem #PRU-78650

Problems Calculus Derivative Increasing and decreasing. Researching functions Algebra and arithmetic 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.