Question 184
Prove that for every non-negative integer $n$ there exist integers $x, y, z$ with $\gcd(x, y, z) = 1$ such that
$$
x^2 + y^2 + z^2 = 3^{2n}.
$$
$$
x^2 + y^2 + z^2 = 3^{2n}.
$$
MathNet 2016-part-01 — 184 problems (EN–VI) Question 184
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)