Small gaps between products of two primes

Let qn denote the nth number that is a product of exactly two distinct primes. We prove that qn+1 − qn ≤ 6 infinitely often. This sharpens an earlier result of the authors, which had 26 in place of 6. More generally, we prove that if ν is any positive integer, then (qn+ν − qn) ≤ ν eν − γ (1+o(1)) in...

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Bibliographic Details

Published in:	Proceedings of the London Mathematical Society Vol. 98; no. 3; pp. 741 - 774
Main Authors:	Goldston, D. A., Graham, S. W., Pintz, J., Y ld r m, C. Y.
Format:	Journal Article
Language:	English
Published:	Oxford University Press 01.05.2009
ISSN:	0024-6115, 1460-244X
Online Access:	Get full text
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