What is the smallest $N$ for which $\sum_{k=1}^{N} k^{2018}$ is divisible by $2018$?
Problem
Source: 2019 Dürer Math Competition Finals Day2 E+11 https://artofproblemsolving.com/community/c1621835_2019_
Tags: Sum, divides, divisible, number theory
Source: 2019 Dürer Math Competition Finals Day2 E+11 https://artofproblemsolving.com/community/c1621835_2019_
Tags: Sum, divides, divisible, number theory
What is the smallest $N$ for which $\sum_{k=1}^{N} k^{2018}$ is divisible by $2018$?