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MathNet 2018-part-01 — 181 problems (EN–VI) Question 89

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 89

Let's say that a digit is *eternal* for a positive integer $n$, if it is contained in every multiple of $n$. Find all digits which are eternal for at least one positive integer.