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GENERALIZED CULLEN NUMBERS WITH THE LEHMER PROPERTY
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 Title & Authors
GENERALIZED CULLEN NUMBERS WITH THE LEHMER PROPERTY
Kim, Dae-June; Oh, Byeong-Kweon;
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 Abstract
We say a positive integer n satisfies the Lehmer property if divides n - 1, where is the Euler's totient function. Clearly, every prime satisfies the Lehmer property. No composite integer satisfying the Lehmer property is known. In this article, we show that every composite integer of the form , for a prime p and a positive integer n, or of the form for does not satisfy the Lehmer property.
 Keywords
Euler's totient function;generalized Cullen number;Lehmer property;
 Language
English
 Cited by
1.
Pell numbers with the Lehmer property, Afrika Matematika, 2017, 28, 1-2, 291  crossref(new windwow)
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