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MathNet 2017-part-01 — 176 problems (EN–VI) Question 19

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 19

Anthony writes down in order all positive integers which are divisible by $2$. Bertha writes down in order all positive integers which are divisible by $3$. Claire writes down in order all positive integers which are divisible by $4$. Orderly Dora writes all numbers written by the other three. Thereby she puts them in order by size and does not repeat a number. What is the $2017$th number in her list?
(Richard Henner)