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MathNet 2018-part-01 — 181 problems (EN–VI) Question 95

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 95

Prove that there exist only finitely many triples of positive integers $(n, a, b)$ such that:
$$
n! = 2^a - 2^b.
$$