Peaks and gaps: Spectral analysis of the intervals between prime numbers

Prime numbers seem to be distributed somewhat randomly throughout the sequence of natural numbers. It is known, however, that gaps between consecutive primes exhibit a preponderance towards 6 and its multiples, and recently it was shown that the gaps between the gaps also exhibit a peculiar pattern. In this paper higher-order gaps are analyzed using Fourier decomposition. The resulting power spectra reveal additional patterns in the prime number sequence.

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Year of publication:	2007
Authors:	Szpiro, George G.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 384.2007, 2, p. 291-296
Publisher:	Elsevier
Subject:	Prime numbers \| Gaps \| Fourier analysis \| Power spectrum \| Experimental mathematics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010591476