Counting Keith numbers.
Klazar, Martin, Luca, Florian (2007)
Journal of Integer Sequences [electronic only]
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Klazar, Martin, Luca, Florian (2007)
Journal of Integer Sequences [electronic only]
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Banks, William D., Luca, Florian (2005)
Journal of Integer Sequences [electronic only]
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Florian Luca (2008)
Czechoslovak Mathematical Journal
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For a positive integer we write for the Euler function of . In this note, we show that if is a fixed positive integer, then the equation has only finitely many positive integer solutions .
Baoulina, Ioulia, Luca, Florian (2008)
Annales Mathematicae et Informaticae
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Florian Luca (2002)
Collectanea Mathematica
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Jan-Christoph Puchta (2003)
Archivum Mathematicum
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We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.