TR-MO-R1 2013 Problem 26

$n$ pozitif bir tam sayı olmak üzere, $n^3+2$ ve $(n+1)^3+2$ sayılarının her ikisini de bölen asal sayıların sayısı en çok kaç olabilir?

a) $3$ b) $2$ c) $1$ d) $0$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2013 official paper, page 8. Quoted with source.

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