Divisibility
Source: Bosnian TST 2008, 1.st day
May 17, 2008
number theory proposednumber theory
Problem Statement
Find all pairs of positive integers and that satisfy (both) following conditions:
(i) m^{2}\minus{}n divides m\plus{}n^{2}
(ii) n^{2}\minus{}m divides n\plus{}m^{2}