Math 362 Assignment 3Due: Wednesday, October 18Answer all questions. Each question is worth 5 marks. Full marks will be awarded onlyfor answers that are both mathematically correct and coherently written.1.(a) Find in°nitely many integersnsuch thatd(n) = 2017. (One line!)(b) Find an integern=prqr, wherep6=qare primes, such that°(n) = 217.Answer
2. Prove that any positive integer of the formn= (6k+ 1)(12k+ 1)(18k+ 1), where allthree factors are prime, is a Carmichael number.