Junior Balkan MO 1999 - Problem 2


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27. listopada 2023.
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For each nonnegative integer n we define A_n = 2^{3n}+3^{6n+2}+5^{6n+2}. Find the greatest common divisor of the numbers A_0,A_1,\ldots, A_{1999}.

Izvor: Juniorska balkanska matematička olimpijada 1999.