MathDB
VMO 2015 Problem 3

Source: VMO 2015

July 30, 2016
number theory

Problem Statement

Given mZ+m\in\mathbb{Z}^+. Find all natural numbers nn that does not exceed 10m10^m satisfying the following conditions: i) 3n.3|n. ii) The digits of nn in decimal representation are in the set {2,0,1,5}\{2,0,1,5\}.