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MathNet 2019-part-08 — 179 problems (EN–VI) Question 133

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 133

Let $S, P, A, C, E$ be (not necessarily distinct) decimal digits where $E \neq 0$. Given that $N=\sqrt{\overline{E S C A P E}}$ is a positive integer, find the minimum possible value of $N$.