Question 98
If $n$ is a positive integer, we will call a triple $(x, y, z)$ of positive integers of type $n$ if $x + y + z = n$. Denote $s(n)$ the number of triples of type $n$.
a) Prove that there exists no positive integer $n$ such that $s(n) = 14$.
a) Prove that there exists no positive integer $n$ such that $s(n) = 14$.