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MathNet 2015-part-01 — 191 problems (EN–VI) Question 103

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 103

Solve the equation in nonnegative integers $a$, $b$, $c$:
$$
3^a + 2^b + 2015 = 3c!
$$