Question 117
Find all triples of natural numbers $(x, y, z)$ such that:
$$
x^{2}+y^{2}=3 \cdot 2016^{z}+77.
$$
$$
x^{2}+y^{2}=3 \cdot 2016^{z}+77.
$$
MathNet 2017-part-02 — 176 problems (EN–VI) Question 117
Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)