  This note describes a conjecture involving cyclotomic polynomials and some
initial thoughts towards a solution. Given positive integers $m,n$, the
conjecture is that either $\Phi_m(q)\leqslant\Phi_n(q)$ or
$\Phi_m(q)\geqslant\Phi_n(q)$ holds for all integers $q\geqslant 2$. Pomerance
and Rubinstein-Salzedo proved the conjecture in a preprint called `Cyclotomic
coincidences' [arXiv:1903.01962].
