The Legendre symbol $(94 / 59)$ is equal to $1$, therefore, by definition, $94$ is a quadratic residue mod $59$.
At the same time, the residue of $a\mod n$ is defined as the (positive) remainder when $a$ is divided by $n$, i.e. the residue of $a\mod n$ is an element of $\mathbb{Z}_n$.
So, in the first paragraph above, while there's no argument about calling $94-59=35$ a quadratic residue of $59$, aren't the two definitions above inconsistent if $94$ is also called a quadratic residue of $59$?
Thank you, I just want to be sure that I'm using the terminology correctly.