Question Number 50371 by prof Abdo imad last updated on 16/Dec/18
$${let}\:{F}_{{n}} =\mathrm{2}^{\mathrm{2}^{{n}} } \:+\mathrm{1}\:\:\:\:\left({fermat}\:{numbers}\right) \\ $$$${prove}\:{that}\:\Delta\left({F}_{{m}} ,{F}_{{n}} \right)=\mathrm{1}\:{for}\:{m}\neq{n} \\ $$