
Reciprocal Sum
Problem
Consider the equation,
1 $x$ | + | 1 $y$ | = | 1 $z$ | where x, y, z are positive integers |
For a given $x$, determine the number of solutions.
Problem ID: 169 (Apr 2004) Difficulty: 4 Star

Consider the equation,
1 $x$ | + | 1 $y$ | = | 1 $z$ | where x, y, z are positive integers |
For a given $x$, determine the number of solutions.