{"title":"拉曼努强的出租车数及其同类数","authors":"Samuel S. Wagstaff","doi":"10.1007/s11139-024-00846-1","DOIUrl":null,"url":null,"abstract":"<p>We discuss properties of the Hardy-Ramanujan taxicab number, 1729, and similar numbers. The similar numbers include Carmichael numbers, Lucas Carmichael numbers, sums of cubes, and integers of the form <span>\\(b^n\\pm 1\\)</span>.</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ramanujan’s taxicab number and its ilk\",\"authors\":\"Samuel S. Wagstaff\",\"doi\":\"10.1007/s11139-024-00846-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We discuss properties of the Hardy-Ramanujan taxicab number, 1729, and similar numbers. The similar numbers include Carmichael numbers, Lucas Carmichael numbers, sums of cubes, and integers of the form <span>\\\\(b^n\\\\pm 1\\\\)</span>.</p>\",\"PeriodicalId\":501430,\"journal\":{\"name\":\"The Ramanujan Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Ramanujan Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s11139-024-00846-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Ramanujan Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11139-024-00846-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We discuss properties of the Hardy-Ramanujan taxicab number, 1729, and similar numbers. The similar numbers include Carmichael numbers, Lucas Carmichael numbers, sums of cubes, and integers of the form \(b^n\pm 1\).
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