Abstract
In this paper, we apply the methods of Maynard and Tao to the set of products of two distinct primes ($E_{2}$-numbers). We obtain several results on the distribution of $E_{2}$-numbers and primes. Among others, the result of Goldston, Graham, Pintz and Yıldırım on small gaps between $m$ consecutive $E_{2}$-numbers is improved.
Funding Statement
This work was partially supported by the JSPS, KAKENHI Grant Number 16K17574.
Citation
Keiju SONO. "Small gaps between the set of products of at most two primes." J. Math. Soc. Japan 72 (1) 81 - 118, January, 2020. https://doi.org/10.2969/jmsj/74937493
Information
