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TR-MO-R1 2009 Problem 8

    {1,2,…,n}\{1, 2, \ldots, n\} kümesi iki altkümeye nasıl ayrılırsa ayrılsın, altkümelerden en az birindeki iki farklı elemanın toplamı bir tam kare oluyorsa, nn en az kaçtır?

    a) 13 b) 14 c) 15 d) 16 e) 17

    Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 3. Quoted with source.

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