Abstract
In the preprint [3], Goldston, Pintz, and Yildirim established, among other things, (0) lim inf n→∞ Pn+1-pn/log p n = 0 with pn the nth 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.
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Goldston, D. A., Motohashi, Y., Pintz, J., & Yildirim, C. Y. (2006). Small gaps between primes exist. Proceedings of the Japan Academy Series A: Mathematical Sciences, 82(4), 61–65. https://doi.org/10.3792/pjaa.82.61
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