2018 AMC 10B Problems/Problem 11

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Which of the following expressions is never a prime number when $p$ is a prime number?

$\textbf{(A)} p^2+16 \qquad \textbf{(B)} p^2+24 \qquad \textbf{(C)} p^2+26 \qquad \textbf{(D)} p^2+46 \qquad \textbf{(E)} p^2+96$