Composite integers \(n\) for which \(\varphi (n)\mid n-1\)

DOI10.1007/s10114-005-0731-1zbMath1215.11094OpenAlexW2003704275MaRDI QIDQ2465548

William D. Banks, Florian Luca

Publication date: 4 January 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0731-1

zbMATH Keywords

Lehmer conjectureEuler function

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Rate of growth of arithmetic functions (11N56)

Related Items (6)

On a variant of Giuga numbers ⋮ Pell numbers with the Lehmer property ⋮ On the congruence \(\kappa n\equiv a\pmod{\varphi(n)}\) ⋮ Cullen numbers with the Lehmer property ⋮ ON CONGRUENCES OF THE FORM σ(n) ≡ a (mod n) ⋮ Lehmer's totient problem over \(\mathbb{F}_q [x\)]

Cites Work

• On Euler’s totient function
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