# Divisible by this year??? (Part 10: Let's make some magic!)

**Number Theory**Level 4

In an \((2n + 1)\) by \((2n + 1)\) magic square, let \(a\) be the middlemost integer (the intersection of the \((n + 1)^{th}\) row and the \((n + 1)^{th}\) column) where \(a\) is the smallest positive integer that will make the magic sum divisible by \(2014\). For how many values of \(n\) where \(n \leq 1000\) is \(a\) not equal to \(2014\)?