Question 121
Find with proof, all triples of non-negative integers $(x, y, n)$ satisfying
$$
(x^4 + 1)^3 + (y^4 + 1)^3 = 2014^n.
$$
$$
(x^4 + 1)^3 + (y^4 + 1)^3 = 2014^n.
$$
MathNet 2026 — Part 05 Question 121
Math Olympiad Vault · MathNet 2026 — Part 05