Giuga Numbers and the Arithmetic Derivative
José María Grau
Departamento de Matematicas
Universidad de Oviedo
Avda. Calvo Sotelo, s/n
Antonio M. Oller-Marcén
Centro Universitario de la Defensa
Ctra. de Huesca, s/n
We characterize Giuga numbers as solutions
to the equation n' = an + 1,
with a ∈ N and n' being the arithmetic derivative.
Although this fact does not refute Lava's conjecture, it does suggest
doubts about its veracity.
Full version: pdf,
(Concerned with sequences
Received March 11 2011;
revised version received March 26 2012.
Published in Journal of Integer Sequences, March 26 2012.
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