maximum value of integer z
Source: Indonesia IMO 2010 TST, Stage 1, Test 2, Problem 3
November 12, 2009
number theory proposednumber theory
Problem Statement
Let , , and be integers satisfying the equation \dfrac{2008}{41y^2}\equal{}\dfrac{2z}{2009}\plus{}\dfrac{2007}{2x^2}. Determine the greatest value that can take.
Budi Surodjo, Jogjakarta