{ "id": "1103.3986", "version": "v1", "published": "2011-03-21T11:50:31.000Z", "updated": "2011-03-21T11:50:31.000Z", "title": "Positive Proportion of Small Gaps Between Consecutive Primes", "authors": [ "D. A. Goldston", "J. Pintz", "C. Y. Yildirim" ], "comment": "9 pages", "categories": [ "math.NT" ], "abstract": "We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.", "revisions": [ { "version": "v1", "updated": "2011-03-21T11:50:31.000Z" } ], "analyses": { "subjects": [ "11N05" ], "keywords": [ "consecutive primes", "positive proportion", "small gaps" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1103.3986G" } } }