ta có A=\(999993^{1999}-555557^{1997}\)
=\(999993^{1998}.99993-555557^{1996}.555557\)
=\(\left(999993^2\right)^{999}.999993-\left(555557^2\right)^{998}.555557\)
=\(\left(...9\right)^{999}.999993-\left(...1\right).555557\)
=\(\left(....7\right)-\left(...7\right)\)
=0
chữ số tc của A là 0=> A\(⋮\)5(đpcm)