Positive Proportion of Small Gaps Between Consecutive Primes

Details Positive Proportion of Small Gaps Between Consecutive Primes Positive Proportion of Small Gaps Between Consecutive Primes

2011-03-21

arxiv.org/abs/1103.3986v1

Mathematics

Number Theory

9 pages

Scientific paper

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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