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CONO-SUR 2004 Problem 1

    Maxi chose 33 digits, and by writing down all possible permutations of these digits, he obtained 66 distinct 33 -digit numbers. If exactly one of those numbers is a perfect square and exactly three of them are prime, find Maxi's 33 digits. Give all of the possibilities for the 33 digits.

    Dataset text AI-MO AoPS. Quoted with source.

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