Let $\displaystyle a, b, c $and $\displaystyle d$ be prime numbers such that$\displaystyle a > 3b > 6c > 12d$ and $\displaystyle a^2-b^2 +c^2-d^2 = 1749.$ Determine all possible values of $\displaystyle a^2 +b^2 +c^2 +d^2$ .
Follow Math Help Forum on Facebook and Google+
I haven't solved it, but it here's what could be an important clue: d = 2
View Tag Cloud