Prime factors of ${\Phi }_3(x)$ of the same form

Cody S. Hansen, Pace P. Nielsen

We parameterize solutions to the equality ${\Phi }_3(x)={\Phi }_3(a_1){\Phi }_3(a_2)\cdots {\Phi }_3(a_n)$ when each ${\Phi }_3(a_i)$ is prime. Our focus is on the special cases when $n=2,3,4$, as this analysis…