Fibonacci Numbers with the Lehmer Property

Florian Luca

Bulletin of the Polish Academy of Sciences. Mathematics (2007)

  • Volume: 55, Issue: 1, page 7-15
  • ISSN: 0239-7269

Abstract

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

How to cite

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Florian Luca. "Fibonacci Numbers with the Lehmer Property." Bulletin of the Polish Academy of Sciences. Mathematics 55.1 (2007): 7-15. <http://eudml.org/doc/281121>.

@article{FlorianLuca2007,
abstract = {We show that if m > 1 is a Fibonacci number such that ϕ(m) | m-1, where ϕ is the Euler function, then m is prime},
author = {Florian Luca},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Fibonacci number; Euler function},
language = {eng},
number = {1},
pages = {7-15},
title = {Fibonacci Numbers with the Lehmer Property},
url = {http://eudml.org/doc/281121},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Florian Luca
TI - Fibonacci Numbers with the Lehmer Property
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 1
SP - 7
EP - 15
AB - We show that if m > 1 is a Fibonacci number such that ϕ(m) | m-1, where ϕ is the Euler function, then m is prime
LA - eng
KW - Fibonacci number; Euler function
UR - http://eudml.org/doc/281121
ER -

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