Let $x$ and $y$ be two element of general linear group $SL(n,q)$, such that the orders of $x$ and $y$ be some primitive prime divisor of $q^n-1$. Is it true that if $xy\not=yx$, then $x$ and $y$ generate $SL(n,q)$ ?

Note that the order of an element like $z$ of $SL(n,q)$ is a primitive prime divisor of $q^n-1$ if and only if $|x|\mid (q^n-1)$ but $|x|\not\mid(q^k-1)$ for every $k<n$.