Carmichael numbers composed of primes from a Beatty sequence

William D. Banks, and Aaron M. Yeager. "Carmichael numbers composed of primes from a Beatty sequence." Colloquium Mathematicae 125.1 (2011): 129-137. <http://eudml.org/doc/284092>.

@article{WilliamD2011,
abstract = {Let α,β ∈ ℝ be fixed with α > 1, and suppose that α is irrational and of finite type. We show that there are infinitely many Carmichael numbers composed solely of primes from the non-homogeneous Beatty sequence $ℬ_\{α,β\} = (⌊αn + β⌋)_\{n=1\}^\{∞\}$. We conjecture that the same result holds true when α is an irrational number of infinite type.},
author = {William D. Banks, Aaron M. Yeager},
journal = {Colloquium Mathematicae},
keywords = {Carmichael numbers; Beatty sequences},
language = {eng},
number = {1},
pages = {129-137},
title = {Carmichael numbers composed of primes from a Beatty sequence},
url = {http://eudml.org/doc/284092},
volume = {125},
year = {2011},
}

TY - JOUR
AU - William D. Banks
AU - Aaron M. Yeager
TI - Carmichael numbers composed of primes from a Beatty sequence
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 1
SP - 129
EP - 137
AB - Let α,β ∈ ℝ be fixed with α > 1, and suppose that α is irrational and of finite type. We show that there are infinitely many Carmichael numbers composed solely of primes from the non-homogeneous Beatty sequence $ℬ_{α,β} = (⌊αn + β⌋)_{n=1}^{∞}$. We conjecture that the same result holds true when α is an irrational number of infinite type.
LA - eng
KW - Carmichael numbers; Beatty sequences
UR - http://eudml.org/doc/284092
ER -