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MathNet 2019-part-02 — 184 problems (EN–VI) Question 160

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 160

Find all triples $\left(a, b, c\right)$ of strictly positive integers such that
$$
3^{a}-5^{b}=c^{2}
$$