Problem of the Month

Here is the first Problem Of The Month!

As I was going to St. Ives I met a man with seven wives, Each wife had seven sacks, each sack had seven cats, Each cat had seven kits: kits, cats, sacks and wives, How many were going to St. Ives?

OK, here's one for real: show that for any natural number n, the expression A = 2903^n - 803^n - 464^n + 261^n is a multiple of 1897.