## Problem of the Week 1012## Unusual Four Squares ExamplesAn old theorem states that every positive integer is a sum of four squares. How many integers are the sum of the squares of their four smallest positive divisors (1 is included as a divisor)? Source: Iranian Olympiad, 98-99 Crux April 2004 © Copyright 2004 Stan Wagon. Reproduced with permission. |

8 September 2004