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MathNet 2019-part-07 — 184 problems (EN–VI) Question 108

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 108

Determine the positive integer $n$, for which the following holds:

$$
n^2 = 2 \cdot (20^4 + 19^4 + 39^4).
$$