MathDB
Representation in sum of fractions

Source: VII Caucasus Mathematical Olympiad

March 13, 2022
algebraconstruction

Problem Statement

Prove that infinitely many positive integers can be represented as (a−1)/b+(b−1)/c+(c−1)/a(a-1)/b + (b-1)/c + (c-1)/a, where aa, bb and cc are pairwise distinct positive integers greater than 1.
Back to ProblemsView on AoPS