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MathNet 2019-part-03 — 184 problems (EN–VI) Question 30

Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)

Question 30

Find all pairs $(x, n)$ of positive integers satisfying the equation:
$$
3 \cdot 2^x + 4 = n^2.
$$