MathDB
Prove that there are no integers...

Source: INMO 1997 Problem 2

October 6, 2005
quadraticsmodular arithmeticDiophantine equationspecial factorizationsnumber theory solvednumber theory

Problem Statement

Show that there do not exist positive integers mm and nn such that mn+n+1m=4. \dfrac{m}{n} + \dfrac{n+1}{m} = 4 .