olymmath

TUYMAADA 2015 J4

    Prove that there exists a positive integer nn such that in the decimal representation of each of the numbers n\sqrt{n} , n3,...,n10\sqrt[3]{n},..., \sqrt[10]{n} digits 20152015 stand immediately after the decimal point.

    A.Golovanov

    Dataset text AI-MO AoPS. Quoted with source.

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