\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that for every prime \(p \geq 5\), \(p^2 \equiv 1 \pmod{24}\). Hint. Use that \(p\) is odd and \(3 \nmid p\) (since \(p \geq 5\) is prime).
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