3 problems

Let $p$ be a prime, and let $n(p)$ denote the least natural number that is not a quadratic residue modulo $p$. For any fixed $\epsilon>0$, the least quadratic nonresidue satisfies…

Let $\chi$ be a Dirichlet character, and let $n_\chi$ be the first natural number such that $\chi(n_\chi)\neq1$. Character least nontrivial value conjecture. For every fixed…

Let $\xi$ be an odd primitive Dirichlet character modulo $k$ with $3\nmid k$, and define … Let $n_\xi$ denote the least positive integer $n$ with $\xi(n)\neq 1$, and let $M(\chi)$…