thisha

list five integers that are congruent to 4 modulo 12 4, 16, 36, ... any integer of the from n*12 + 4 where n=0, 1, 2, 3...

let d be a positive integer. Show that among any group of d+19not necessarily consecutive) integers there are two with exactly the same remainder when they are divided by d. The possible values of the remainders are 0, 1, 2, ...d-1. So there are a total o...