Fibonacci Numbers with the Lehmer Property
Volume 55 / 2007
Bulletin Polish Acad. Sci. Math. 55 (2007), 7-15
MSC: 11A20, 11B39.
DOI: 10.4064/ba55-1-2
Abstract
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