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MathNet 2016-part-06 — 184 problems (EN–VI) Question 137

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 137

a) Determine if there exist positive integer numbers $x, y, z$ such that
$$
2016 = x^3 + y^3 + z^3?
$$

b) Determine if there exist positive integer numbers $x, y, z, t$ such that
$$
2016 = x^3 + y^3 + z^3 + t^3?
$$