in a french village the number of inhabitants is a perfect square
Source: 2021 Dürer Math Competition Finals Day2 E+2 https://artofproblemsolving.com/community/c2749870_
January 9, 2022
number theoryPerfect Square
Problem Statement
In a french village the number of inhabitants is a perfect square. If more people moved in, then the number of people would be bigger than a perfect square. If again more people moved in, then the number of people would be a perfect square again. How many people lives in the village if their number is the least possible?