Title: Quadratic non-residues that are not primitive roots
Abstract:We prove that any prime $p$ satisfying $\phi (p-1)\leq (p-1)/4$ contains two consecutive quadratic non-residues modulo $p$ neither of which is a primitive root modulo $p$. This improves on results by ...We prove that any prime $p$ satisfying $\phi (p-1)\leq (p-1)/4$ contains two consecutive quadratic non-residues modulo $p$ neither of which is a primitive root modulo $p$. This improves on results by Luca et al. and Gun et al.Read More