MathDB
sum of pairs of 1, 2,...., 30 a perfect square?

Source: Czech-Polish-Slovak Junior Match 2015, Individual p2 CPSJ

March 15, 2020
number theorySumPerfect Square

Problem Statement

Decide if the vertices of a regular 3030-gon can be numbered by numbers 1,2,..,301, 2,.., 30 in such a way that the sum of the numbers of every two neighboring to be a square of a certain natural number.