Archivio Istituzionale della RicercaIn this paper we provide a new elementary proof that the inequality ϕ(n) > π(n) holds for all integers n ≥ 91, an old result of L. Moser. Our proof is based on Bonse’s Inequality. This makes it somewhat simpler than Moser’s proof, which in turn relies on Bertrand’s Postulate.
A new elementary proof of the inequality φ(n) > π(n) / Sanna, Carlo. - In: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS. - ISSN 2367-8275. - STAMPA. - 18:3(2012), pp. 35-37.
A new elementary proof of the inequality φ(n) > π(n)
Sanna Carlo
2012
Abstract
In this paper we provide a new elementary proof that the inequality ϕ(n) > π(n) holds for all integers n ≥ 91, an old result of L. Moser. Our proof is based on Bonse’s Inequality. This makes it somewhat simpler than Moser’s proof, which in turn relies on Bertrand’s Postulate.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2789532