Let p and q be primes such that \(p + q = \left(p - q \right)^3\). Find p and q.
\(\begin{array}{|rcll|} \hline p + q &=& \left(p - q \right)^3 \quad | \quad p = 5,\ q= 3\\ 5 + 3 &=& \left(5 - 3 \right)^3 \\ 8 &=& 2^3 \\ 8 &=& 8\ \checkmark \\ \hline \end{array}\)
