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MathNet 2018-part-05 — 181 problems (EN–VI) Question 41

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 41

Find all integers $n$ such that
$$
2^{2018} + 2^{2022} + 2^{2023} + 2^{2024} + 2^{2026} + 2^n
$$
is a square.