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MathNet 2016-part-05 — 184 problems (EN–VI) Question 95

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 95

Find all positive integers $a, b, c$ and $d$ such that
$$
4^a \cdot 5^b - 3^c \cdot 11^d = 1.
$$