On Almost Lehmer Numbers
Tomohiro Yamada
Center for Japanese Language and Culture
Osaka University
562-8558, 8-1-1, Aomatanihigashi
Minoo, Osaka
Japan
Abstract:
We consider composite numbers n such that φ(n) divides
ℓ(n– 1) for some squarefree divisor ℓ of
n
– 1. We discuss two cases, according to whether the number of prime
factors of ℓ is bounded or not. We give a few instances and upper
bounds for the number of such integers below a given number.
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(Concerned with sequences
A001055
A020555
A033833
A173703
A337316
A338998.)
Received November 24 2020; revised versions received November 25 2020; February 25 2021.
Published in Journal of Integer Sequences,
April 25 2021.
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