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Displaying similar documents to “Stapled sequences and stapling coverings of natural numbers.”

On the Euler function of repdigits

Florian Luca (2008)

Czechoslovak Mathematical Journal

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For a positive integer n we write φ ( n ) for the Euler function of n . In this note, we show that if b > 1 is a fixed positive integer, then the equation φ x b n - 1 b - 1 = y b m - 1 b - 1 , where x , y { 1 , ... , b - 1 } , has only finitely many positive integer solutions ( x , y , m , n ) .