Fibonacci Numbers with the Lehmer Property

Volume 55 / 2007

Florian Luca Bulletin Polish Acad. Sci. Math. 55 (2007), 7-15 MSC: 11A20, 11B39. DOI: 10.4064/ba55-1-2


We show that if $m>1$ is a Fibonacci number such that $\phi(m) \,|\, m-1$, where $\phi$ is the Euler function, then $m$ is prime


  • Florian LucaInstituto de Matemáticas
    Universidad Nacional Autónoma de México
    Ap. Postal 61-3 (Xangari)
    C.P. 58089, Morelia, Michoacán, México

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