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Small gaps between the set of products of at most two primes

Published 10 May 2016 in math.NT | (1605.02920v2)

Abstract: In this paper, we apply the method of Maynard and Tao to the set of products of two distinct primes (E2-numbers). We obtain several results on the distribution of E2-numbers and primes. Among others, the result of Goldston, Pintz, Yildirim and Graham on small gaps between m consecutive E2-numbers is improved.

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