{ "id": "1103.5886", "version": "v1", "published": "2011-03-30T11:53:24.000Z", "updated": "2011-03-30T11:53:24.000Z", "title": "Primes in Tuples IV: Density of small gaps between consecutive primes", "authors": [ "D. A. Goldston", "J. Pintz", "C. Y. Yildirim" ], "categories": [ "math.NT" ], "abstract": "We show that a positive proportion of all gaps between consecutive primes are small gaps. We provide several quantitative results, some unconditional and some conditional, in this flavour.", "revisions": [ { "version": "v1", "updated": "2011-03-30T11:53:24.000Z" } ], "analyses": { "subjects": [ "11N05" ], "keywords": [ "small gaps", "consecutive primes", "positive proportion" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1103.5886G" } } }