Question 29
Bluey divides 499 by each of 1,2,3,…,499 and records the remainders in order. Her sequence begins 0,1,1,3,4,1,… . Let M be the sum of these 499 remainders. Jean-Luc divides 500 by each of 1,2,3,…,500 and records the remainders in order. His sequence begins 0,0,2,0,0,2,… . Let N be the sum of these 500 remainders. What is the difference between M and N?
