{ "id": "1910.13450", "version": "v1", "published": "2019-10-29T16:37:43.000Z", "updated": "2019-10-29T16:37:43.000Z", "title": "Gaps between primes", "authors": [ "James Maynard" ], "comment": "16 Pages; old survey paper for the ICM", "categories": [ "math.NT" ], "abstract": "We discuss recent advances on weak forms of the Prime $k$-tuple Conjecture, and its role in proving new estimates for the existence of small gaps between primes and the existence of large gaps between primes.", "revisions": [ { "version": "v1", "updated": "2019-10-29T16:37:43.000Z" } ], "analyses": { "subjects": [ "11N05" ], "keywords": [ "small gaps", "weak forms", "large gaps", "tuple conjecture" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }