Prime, Prime, Prime
Algebra
Level
4
\[\begin{cases} a^2 + bc = 67\\ b^2 + ac = 71\\ c^2 + ab = 79 \end{cases}\]
Considering the equations above with integers \(a, b, c\), what is the value of \(ab + bc + ca\)?
by
Worranat Pakornrat