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We get an upper bound of \n\n \n \n O<\/mml:mi>\n (<\/mml:mo>\n \n x<\/mml:mi>\n \n 5<\/mml:mn>\n \n \/<\/mml:mo>\n <\/mml:mrow>\n 14<\/mml:mn>\n +<\/mml:mo>\n o<\/mml:mi>\n (<\/mml:mo>\n 1<\/mml:mn>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:msup>\n )<\/mml:mo>\n <\/mml:mrow>\n O(x^{5\/14+o(1)})<\/mml:annotation>\n <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> on the number of Carmichael numbers \n\n \n \n \u2264<\/mml:mo>\n x<\/mml:mi>\n <\/mml:mrow>\n \\leq x<\/mml:annotation>\n <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> with exactly three prime factors.<\/p>","DOI":"10.1090\/s0025-5718-97-00857-0","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T22:14:44Z","timestamp":1027721684000},"page":"1705-1708","source":"Crossref","is-referenced-by-count":7,"title":["Density of Carmichael numbers with three prime factors"],"prefix":"10.1090","volume":"66","author":[{"given":"R.","family":"Balasubramanian","sequence":"first","affiliation":[]},{"given":"S.","family":"Nagaraj","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1997]]},"reference":[{"issue":"3","key":"1","doi-asserted-by":"publisher","first-page":"703","DOI":"10.2307\/2118576","article-title":"There are infinitely many Carmichael numbers","volume":"139","author":"Alford, W. 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(2) 14 (1915), 347\u2013409.","DOI":"10.1112\/plms\/s2_14.1.347"},{"key":"11","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0507-1","volume-title":"The book of prime number records","author":"Ribenboim, Paulo","year":"1989","ISBN":"http:\/\/id.crossref.org\/isbn\/0387970428","edition":"2"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/1997-66-220\/S0025-5718-97-00857-0\/S0025-5718-97-00857-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/1997-66-220\/S0025-5718-97-00857-0\/S0025-5718-97-00857-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,2]],"date-time":"2021-11-02T23:33:53Z","timestamp":1635896033000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/1997-66-220\/S0025-5718-97-00857-0\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"references-count":11,"journal-issue":{"issue":"220","published-print":{"date-parts":[[1997,10]]}},"alternative-id":["S0025-5718-97-00857-0"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-97-00857-0","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["0025-5718","1088-6842"],"issn-type":[{"value":"0025-5718","type":"print"},{"value":"1088-6842","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997]]}}}