Call a positive integer n extra-distinct if the remainders when n is divided by 2,3,4,5, and 6 are distinct. Find the number of extra-distinct positive integers less than 1000 .
Call a positive integer n extra-distinct if the remainders when n is divided by 2,3,4,5, and 6 are distinct. Find the number of extra-distinct positive integers less than 1000 .