A Proof that $\pi^{e^{e^{\pi}}} < e^{\pi^{\pi^{e}}}$

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发表日期：

2025年2月1日

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Brahim Chaourar,
Lazhar Bougoffa

摘要

In this note, we demonstrate that $\pi^{e^{e^{\pi}}} < e^{\pi^{\pi^{e}}}$ $π^{e^{e^{π}}} < e^{π^{π^{e}}}$ . This resolves an open question posed by Pinter (2005) in The Mathematical Gazette. This note presents a concise solution that does not rely on any computational tools.

A Proof that \(\pi^{e^{e^{\pi}}} < e^{\pi^{\pi^{e}}}\)

摘要