9 citations · 36 across the 31 of their papers we have counts for
4 papers · 1 filter
On -Lehmer numbers
Antonio M. Oller-Marcén, José María Grau
Lehmer's totient problem consists of determining the set of positive integers such that where is Euler's totient function. In this paper we introduce the concept…
A primality test for numbers
José María Grau, Antonio M. Oller-Marcén
In this paper we generalize the classical Proth's theorem for integers of the form . For these families, we present a primality test whose computational complexity is $\w…
An time primality test for Generalized Cullen Numbers
Jose Maria Grau, Antonio M. Oller-Marcen
Generalized Cullen Numbers are positive integers of the form . In this work we generalize some known divisibility properties of Cullen Numbers and present two prima…
On the base expansion of the number of trailing zeroes of
Antonio M. Oller-Marcen, Jose Maria Grau
Let us denote by the number of trailing zeroes in the base b expansion of . In this paper we study the connection between the expression of $\vartheta(b):=\lim_{n\to…