+407 1) What is the remainder when \(2013^{2013} \) is divided by 13?
2) What is the remainder when \(17^{77} \) is divided by 35?
3) For how many positive integers n less than 100 is \(5^n+8^{n+1}+13^{n+2} \) a multiple of 6?
4) Find the smallest positive multiple of 21 that has no digit larger than 1.
