A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences

M. Ram Murty, François Séguin, Cameron L. Stewart

In 1927, Artin conjectured that any integer other than -1 or a perfect square generates the multiplicative group $\mathbb{Z}/p{\mathbb{Z}}^{\times }$ for infinitely many $p$. In \cite{M…