Six Degrees Of Penetration(2003)

Amy (Chloe) has an odd theory. She believes that we are all only separated by 6 sex partners. To prove her theory she picks up a random stranger at a nightclub, takes him home for a hot romp and asks him to wear a silver bracelet that he is to give to the next person he with. Pretty soon the bracelet is seeing more action than a whorehouse during shore leave.