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arxiv: 1103.3986 · v1 · pith:VQ3YI5HNnew · submitted 2011-03-21 · 🧮 math.NT

Positive Proportion of Small Gaps Between Consecutive Primes

classification 🧮 math.NT
keywords gapsprimesconsecutivepositiveproportionaveragefixedfraction
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We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.

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