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Let p and q be primes such that p + q = (p - q)^3.  Find p and q.

 Jun 22, 2020
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Let p and q be primes such that \(p + q = \left(p - q \right)^3\).  Find p and q.

 

\(\begin{array}{|rcll|} \hline p + q &=& \left(p - q \right)^3 \quad | \quad p = 5,\ q= 3\\ 5 + 3 &=& \left(5 - 3 \right)^3 \\ 8 &=& 2^3 \\ 8 &=& 8\ \checkmark \\ \hline \end{array}\)

 

laugh

 Jun 22, 2020

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