A = 2 + 22 + 23 + 24 + 25 + .....+ 260
A = ( 2 + 22 + 23 + 24 + 25 ) + .....+ ( 256 + 257 + 258 + 259 + 260 )
A = ( 2 . 1 + 2 . 2 + 2 . 22 + 2 . 23 + 2 . 24 ) + ..... + ( 255 . 2 + 255 . 22 + 255 . 23 + 255 . 24 + 255 . 25 )
A = 2 . ( 1 + 2 + 22 + 23 + 24 ) + ..... + 255 . ( 2 + 22 + 23 + 24 + 25 )
A = 2 . 31 + ..... + 255 . 31
A = 31 . ( 2 +....+ 255 ) chia hết cho 31.