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arXiv · 0710.2728

Primes in Tuples II

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

We prove that there are infinitely often pairs of primes much closer than the average spacing between primes - almost within the square root of the average spacing. We actually prove a more general result concerning the set of values taken on by the differences between primes.

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D. A. Goldston, J. Pintz, C. Y. Yildirim. 2007-10-15. Primes in Tuples II. https://arxiv.org/abs/0710.2728

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