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AMO 2019 Secondary 2 (Grade 8) Question 22

AMO · AMO 2019 Secondary 2 (Grade 8)

Question 22

Find the positive integer $X<5000$ whose digits strictly increase from left to right, such that $X-3$ is a perfect cube, $X$ is not divisible by $8$, and $X$ is not prime. Clarification: use the intended condition that $X$ has at least two digits; without it, $X=4$ also satisfies the stated conditions.

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