Ta thấy: \(5⋮5\)
\(5^2⋮5\)
\(5^3⋮5\)
..................................
\(5^{2017}⋮5\)
\(\Rightarrow5+5^2+5^3+.......+5^{2017}⋮5\)
Vậy \(5+5^2+5^3+.......+5^{2017}\)là hợp số \(\left(⋮5\right)\)