MathDB
m^2-n^2=pk

Source: Czech-Polish-Slovak 2008, P6

April 14, 2013
geometryrectanglecombinatorics proposedcombinatorics

Problem Statement

Find all triplets (k,m,n)(k, m, n) of positive integers having the following property: Square with side length mm can be divided into several rectangles of size 1×k1\times k and a square with side length nn.