Abstract
In the preprint [3], Goldston, Pintz, and Yıldırım established, among other things, \begin{equation} \liminf_{n\to\infty}{p_{n+1}-p_n\over\log p_n}=0, \end{equation} with $p_n$ the $n$th prime. In the present article, which is essentially self-contained, we shall develop a simplified account of the method used in [3]. We include a short expository last section.
Citation
Daniel Alan Goldston. Yoichi Motohashi. János Pintz. Cem Yalçın Yıldırım. "Small gaps between primes exist." Proc. Japan Acad. Ser. A Math. Sci. 82 (4) 61 - 65, April 2006. https://doi.org/10.3792/pjaa.82.61
Information
