How many Magic: the Gathering cards are there? Not counting reprints and basic lands.?

my MWS database has 18872 cards though that's counting reprints and basic lands (it's complete from alpha to mirrodin besieged even including promos and magazine/other inserts). there is 197 versions of swamps, so you can cut about 1000 for basic lands. I don't know how to filter reprints though. So about 17800 including reprints.