Portal de Periódicos da CAPES

The mantissa distribution of the primorial numbers

2014; Polish Academy of Sciences; Volume: 163; Issue: 1 Linguagem: Inglês

10.4064/aa163-1-4

1730-6264

Bruno Massé, Dominique Schneider,

Complex Systems and Time Series Analysis

We show that the sequence of mantissas of the primorial numbers $P_n$, defined as the product of the first $n$ prime numbers, is distributed following Benford's law. This is done by proving that the values of the first Chebyshev function at prime numbers