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arxiv: 1103.5886 · v1 · pith:YZ7ZWTXQnew · submitted 2011-03-30 · 🧮 math.NT

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

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keywords gapsprimesconsecutivesmallsomeconditionaldensityflavour
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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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