Question 29
Suppose $d$, $u$, $v$, $w$ are positive integers such that $u$, $v$, $w$ are distinct and
$$
d^3 - d(uv + vw + wu) - 2uvw = 0.
$$
Prove that $d$ cannot be a prime. Find also the least possible value of $d$.
$$
d^3 - d(uv + vw + wu) - 2uvw = 0.
$$
Prove that $d$ cannot be a prime. Find also the least possible value of $d$.