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MathNet 2016-part-01 — 184 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 92

For which integers $n = 1, \dots, 6$ does the equation
$$
a^n + b^n = c^n + n
$$
have a solution in integers?