APMO 2022 P3
Source: APMO 2022 P3
May 17, 2022
APMOalgebraAPMO 2022number theory
Problem Statement
Find all positive integers for which there exist a positive integers such that
\bigg {\{}\frac{n}{202}\bigg {\}}+\bigg {\{}\frac{2n}{202}\bigg {\}}+\cdots +\bigg {\{}\frac{kn}{202}\bigg {\}}=\frac{k}{2}