TR-MO-R1 2022 Problem 14

$p > 3$ bir asal sayı olmak üzere, $4p+91$ ve $12p+7$ sayıları da asal sayılar ise, aşağıdakilerden hangisi bir asal sayı olabilir?

a) $p^2+6$ b) $p^2-4$ c) $8p+1$ d) $2p+11$ e) $p+2$

Official text Turkish Mathematical Olympiad, first round 2022 official paper, page 9. Quoted with source.

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