MathDB
Honduran National MO (OHM) Intermediate Problem 5

Source: 2021 OHM Intermediate P5

November 21, 2021
number theory

Problem Statement

A positive integer mm is called growing if its digits, read from left to right, are non-increasing. Prove that for each natural number nn there exists a growing number mm with nn digits such that the sum of its digits is a perfect square.
Back to ProblemsView on AoPS