MathDB
Centroamerican Olympiad 2010, problem 4

Source:

May 30, 2010
combinatorics proposedcombinatorics

Problem Statement

Find all positive integers NN such that an N×NN\times N board can be tiled using tiles of size 5×55\times 5 or 1×31\times 3.
Note: The tiles must completely cover all the board, with no overlappings.