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# help

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

Jun 22, 2020

#1
+25247
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Let p and q be primes such that $$p + q = \left(p - q \right)^3$$.  Find p and q.

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

Jun 22, 2020