Are all Mersenne Numbers with prime exponent square-free?

Importance: High ✭✭✭
Author(s):
Keywords: Mersenne number
Recomm. for undergrads: no
Posted by: kurtulmehtap
on: February 4th, 2015

\begin{conjecture} Are all Mersenne Numbers with prime exponent ${2^p-1}$ Square free? \end{conjecture}