Let $p$ be a prime, $$p \equiv 1\bmod 4$$ and consider $${\mathbb{Z}_p}$$.
Let $Q_{p}$ be the set of all quadratic residues (non-zero squares) in $${\mathbb{Z}_p}$$.
I would like to know if there is a way to list down the elements of $Q_{p}$ in such a way that the difference of any two consecutive elements in the list is also a quadratic residue.