A Dedekind Psi Function Inequality

This note shows that the Dedekind psi function achieves its extreme values on the subset of primorial integers N_k = 235*…p_k, where p_k is the kth prime. In particular, the inequality psi(N_k) > cloglog N_k, where c = 1.08… is a universal constant, holds for all large primorial integers N_k = 235…*p_k unconditionally.