TR-MO-R1 2020 Problem 14

Her $n \geq 1$ için $a_{n+1} = a_n^3 + 1799$ koşulunu sağlayan bir $(a_n)_{n=1}^{\infty}$ pozitif tam sayı dizisinde en az iki tam kare bulunuyorsa, $a_{2020}$ sayısının 28 ile bölümünden kalan aşağıdakilerden hangisi olabilir?

a) 2 b) 6 c) 14 d) 22 e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2020 official paper, page 8. Quoted with source.

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