Browkin's discriminator conjecture

Alexandru Ciolan, Pieter Moree

Let $q\ge 5$ be a prime and put $q^{\ast }=(-1{)}^{(q-1)/2}\cdot q$. We consider the integer sequence $u_q(1),u_q(2),\dots ,$ with $u_q(j)=(3^j-q^{\ast }(-1{)}^j)/4$. No term in this sequence is r…