Let $K$ be a cubic extension of $\mathbb{Q}$. 

I wonder if we can find a congruence for prime $p$ such that $p$ does not split completely in $K$. I know that we can do this for quadratic fields, but I am not sure for cubic fields. 

Question: Does there exist a congruence for prime $p$, say $p\equiv a\textrm{ (mod } b)$
such that every prime $p$ in that congruence does not split completely in $K$?