Answer
$p+4$
Work Step by Step
Let $p$ be any number as considered. If there exists some other number say $q$ which is more than $p$ by $4$, then it can be obtained by adding $4$ to $p$.
It indicates that after translation with addition operation symbol "$+$", the number $q$ can be expressed as $p+4$.
Therefore, the given phrase can be best represented by expression $p+4$.