Kilka uwag na temat liczb Fermata $F_5$ i $F_6$

Abstract

In this paper we give the necessary and sufficient conditions for the number of the form $d = k.2^7 + 1$ and $d = k.2^8 + 1$ to be divisors of the Fermat numbers $F_5$ and $F_6$, respectively. Moreover, we present numerous elementary proofs of the complexity of the numbers $F_5$ and $F_6$.