We classify by elementary methods the $p$-colorability of torus knots, and prove that every $p$-colorable torus knot has exactly one nontrivial $p$-coloring class. As a consequence, we note that the two-fold branched cyclic cover of a torus knot complement has cyclic first homology group.
"p-Coloring Classes of Torus Knots." Missouri J. Math. Sci. 21 (2) 120 - 126, May 2009. https://doi.org/10.35834/mjms/1316027244