Four consecutive primitive elements in a finite field
For $q$ an odd prime power, we prove that there are always four consecutive primitive elements in the finite field $\mathbb{F}_{q}$ when $q> 2401$.
math.NT↗
arXiv subjects
Tamiru Jarso
Publications and source records attributed to Tamiru Jarso.
Quadratic residues that are not primitive roots
We prove that any prime $p$ satisfying $ϕ(p-1)\leq (p-1)/4$ contains two consecutive quadratic non-residues modulo $p$ neither of which is a primitive root modulo $p$.
math.NT↗