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An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers

Nicola Scafetta·Timothy Imholt·J. A. Roberts·Bruce J. West
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Abstract

We study the fractal properties of the distances between consecutive primes. The distance sequence is found to be well described by a non-stationary exponential probability distribution. We propose an intensity-expansion method to treat this non-stationarity and we find that the statistics underlying the distance between consecutive primes is Gaussian and that, by transforming the distance sequence into a stationary one, the range of Gaussian randomness of the sequence increases.

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Nicola Scafetta, Timothy Imholt, J. A. Roberts, Bruce J. West. 2003-07-22. An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers. https://doi.org/10.1016/s0960-0779(03)00434-x

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