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MathNet 2022-part-02 — 197 problems (EN–VI) Question 87

Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)

Question 87

Find all pairs of nonzero natural numbers $(x, n)$ such that
$$
3 \cdot 2^{x} + 4 = n^{2}
$$