English

Cullen Numbers with the Lehmer Property

Number Theory 2011-03-21 v1

Abstract

Here, we show that there is no positive integer nn such that the nnth Cullen number Cn=n2n+1C_n=n2^n+1 has the property that it is composite but ϕ(Cn)Cn1\phi(C_n)\mid C_n-1.

Cite

@article{arxiv.1103.3578,
  title  = {Cullen Numbers with the Lehmer Property},
  author = {Jose Maria Grau and Florian Luca},
  journal= {arXiv preprint arXiv:1103.3578},
  year   = {2011}
}
R2 v1 2026-06-21T17:41:15.530Z