Primes in Tuples IV: Density of small gaps between consecutive primes

D. A. Goldston; J. Pintz; C. Y. Yildirim

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arXiv · 1103.5886

Primes in Tuples IV: Density of small gaps between consecutive primes

D. A. Goldston·J. Pintz·C. Y. Yildirim

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Abstract

We show that a positive proportion of all gaps between consecutive primes are small gaps. We provide several quantitative results, some unconditional and some conditional, in this flavour.

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D. A. Goldston, J. Pintz, C. Y. Yildirim. 2011-03-30. Primes in Tuples IV: Density of small gaps between consecutive primes. https://arxiv.org/abs/1103.5886

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