TR-MO-R1 2013 Problem 30

$2013$ den küçük kaç $n$ pozitif tam sayısı için, $n$ yi bölen en küçük asal sayı $p$ olmak üzere, $p^2+p+1$ sayısı $n$ yi böler?

a) $212$ b) $206$ c) $191$ d) $185$ e) $173$

Official text Turkish Mathematical Olympiad, first round 2013 official paper, page 9. Quoted with source.

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