The Zen Way
Number Theory
Level
4
\[ \large \frac{1}{x}+\frac{1}{y}=\frac{1}{n}\]
Let \( S(n)\) denote the number of ordered pairs \( (x,y)\) satisfying the equation above for natural numbers \(x,y,n\) with \(n>1\). Find the value of \(S(6) \).
by
Aditya Kumar