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DE-BUNDESWETTBEWERB 2014 Problem 5

    Show that for all positive integers nn , the number 23n+12^{3^n}+1 is divisible by 3n+13^{n+1} .

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Bundeswettbewerb Mathematik 2014 official paper, page 1.

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