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TR-MO-R1 2021 Problem 10

    n=5,7,11,13,121n = 5, 7, 11, 13, 121 değerlerinden kaç tanesi için k2+3k+5n\dfrac{k^2+3k+5}{n} tam sayı olacak şekilde kk tam sayısı bulunmaz?

    a) 1 b) 2 c) 3 d) 4 e) 5

    Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 6. Quoted with source.

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