John D. Cook 2/5/2026

The article presents a mathematical theorem: for any positive integer n, the ceiling of the gamma function Γ(1/n) equals n. It provides a Python code snippet using SciPy to verify the property for n up to 100, offers a partial proof using the asymptotic expansion of the gamma function near zero, and cites a formal proof from the American Mathematical Monthly.

Γ(1/n)

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