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3. Cullen numbers with the lehmer property

Author

José María Grau Ribas, Florian Luca, and José Maria Grau

Subjects
Discrete mathematics, Property (philosophy), Mathematics - Number Theory, Applied Mathematics, General Mathematics, FOS: Mathematics, Calculus, Number Theory (math.NT), Mathematics
Abstract

Here, we show that there is no positive integer n n such that the n n th Cullen number C n = n 2 n + 1 C_n=n2^n+1 has the property that it is composite but ϕ ( C n ) ∣ C n − 1 \phi (C_n)\mid C_n-1 .

Published
2012

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