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MathNet 2021 — Part 01 Question 62

Math Olympiad Vault · MathNet 2021 — Part 01

Question 62

Determine all triples $(a, b, c)$ of integers $a \ge 0$, $b \ge 0$ and $c \ge 0$ that satisfy the equation
$$
a^{b+20}(c-1) = c^{b+21} - 1.
$$