Repdigits as Euler functions of Lucas numbers

Bravo, Jhon J.; Faye, Bernadette; Luca, Florian; Tall, Amadou

doi:10.1515/auom-2016-0030

Abstract

We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if L_n is such a Lucas number, then n < 10¹¹¹ is of the form p or p², where p³ | 10^p-1 -1.

References

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Repdigits as Euler functions of Lucas numbers

Abstract

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