  Let $u\ne \pm 1$, and $v\ne \pm 1$ be a pair of fixed relatively prime
squarefree integers, and let $d\geq 1$, and $e \geq1$ be a pair of fixed
integers. It is shown that there are infinitely many primes $p\geq 2$ such that
$u$ and $v$ have simultaneous prescribed multiplicative orders
$\text{ord}_pu=(p-1)/d$ and $\text{ord}_pv=(p-1)/e$ respectively,
unconditionally. In particular, a squarefree odd integer $u>2$ and $v=2$ are
simultaneous primitive roots and quadratic residues (or quadratic nonresidues)
modulo $p$ for infinitely many primes $p$, unconditionally.
