%0 Journal Article
%T Some Diophantine equations from finite group theory: $¦µ_m(x)=2p^n-1$
%A Florian Luca
%A Pieter Moree
%A Benne de Weger
%J Mathematics
%D 2009
%I arXiv
%X We show that the equation in the title (with $\Phi_m$ the $m$th cyclotomic polynomial) has no integer solution with $n\ge 1$ in the cases $(m,p)=(15,41), (15,5581),(10,271)$. These equations arise in a recent group theoretical investigation by Z. Akhlaghi, M. Khatami and B. Khosravi.
%U http://arxiv.org/abs/0907.5323v1