Are all Fermat Numbers square-free?

Importance: High ✭✭✭
Author(s):
Keywords:
Recomm. for undergrads: no
Posted by: kurtulmehtap
on: August 21st, 2013

\begin{conjecture} Are all Fermat Numbers \[ F_n = 2^{2^{n } } + 1 \] Square-Free?

\end{conjecture}