MathDB
Problem 3

Source: 48th Austrian Mathematical Olympiad Beginners' Competition(2047)

February 28, 2018
combinatoricsnumber theory

Problem Statement

. Anthony denotes in sequence all positive integers which are divisible by 22. Bertha denotes in sequence all positive integers which are divisible by 33. Claire denotes in sequence all positive integers which are divisible by 44. Orderly Dora denotes all numbers written by the other three. Thereby she puts them in order by size and does not repeat a number. What is the 2017th2017th number in her list? ¨Proposed by Richard Henner