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math.NT2011★ 1 cited
Primes in Tuples IV: Density of small gaps between consecutive primes
D. A. Goldston, J. Pintz, C. Y. Yildirim
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…
math.NT2011
Positive Proportion of Small Gaps Between Consecutive Primes
D. A. Goldston, J. Pintz, C. Y. Yildirim
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.