Here is the abstract of Andreas Reinhart, A counterexample to the conjecture of Ankeny, Artin and Chowla, available at https://arxiv.org/html/2410.21864v1

``Let $p$ be a prime number with $p\equiv1\bmod4$, let $\epsilon>1$ be the fundamental unit of ${\bf Z}[{(1+\sqrt p)/2}]$ and let $x$ and $y$ be the unique nonnegative integers with $\epsilon=x+y{1+\sqrt p\over2}$. The Ankeny-Artin-Chowla conjecture states that $p$ is not a divisor of $y$. In this note, we provide and discuss a counterexample to this conjecture.''

Spoiler alert: the counterexample is $p=331914313984493$.