33 horsemen riding along a circular road.
Source:
February 9, 2011
summer programMathcampnumber theoryleast common multiplelinear algebramatrixgreatest common divisor
Problem Statement
horsemen are riding in the same direction along a circular road. Their speeds are constant and pairwise distinct. There is a single point on the road where the horsemen can surpass one another. Can they ride in this fashion for arbitrarily long time ?