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MathNet 2022-part-03 — 197 problems (EN–VI) Question 37

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 37

Determine for which positive integers $n$ there exists a positive integer $A$ such that
- $A$ is a multiple of 2022,
- the decimal representation of $A$ contains only the digits 0 and 7,
- the decimal representation of $A$ contains the digit 7 exactly $n$ times.