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primitive divisors

Proceedings of the Edinburgh Mathematical Society (1)

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Repunit Lehmer numbers
Part of
- Sequences and sets
- Multiplicative number theory
Javier Cilleruelo, Florian Luca
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 1 / February 2011

Published online by Cambridge University Press:

28 October 2010, pp. 55-65
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A Lehmer number is a composite positive integer n such that ϕ(n)|n − 1. In this paper, we show that given a positive integer g > 1 there are at most finitely many Lehmer numbers which are repunits in base g and they are all effectively computable. Our method is effective and we illustrate it by showing that there is no such Lehmer number when g ∈ [2, 1000].