Fibonacci Numbers with the Lehmer Property
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 7-15
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Keywords:
fibonacci number phi m where phi euler function prime
Affiliations des auteurs :
Florian Luca 1
@article{10_4064_ba55_1_2,
author = {Florian Luca},
title = {Fibonacci {Numbers} with the {Lehmer} {Property}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {7--15},
publisher = {mathdoc},
volume = {55},
number = {1},
year = {2007},
doi = {10.4064/ba55-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-2/}
}
TY - JOUR AU - Florian Luca TI - Fibonacci Numbers with the Lehmer Property JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2007 SP - 7 EP - 15 VL - 55 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-2/ DO - 10.4064/ba55-1-2 LA - en ID - 10_4064_ba55_1_2 ER -
Florian Luca. Fibonacci Numbers with the Lehmer Property. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 7-15. doi: 10.4064/ba55-1-2
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