{"title":"假设广义黎曼假设的陈氏定理的明确版本","authors":"Matteo Bordignon, Valeriia Starichkova","doi":"10.1007/s11139-024-00866-x","DOIUrl":null,"url":null,"abstract":"<p>We prove that assuming the Generalized Riemann Hypothesis every even integer larger than <span>\\(\\exp (\\exp (14))\\)</span> can be written as the sum of a prime number and a number that has at most two prime factors.</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis\",\"authors\":\"Matteo Bordignon, Valeriia Starichkova\",\"doi\":\"10.1007/s11139-024-00866-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We prove that assuming the Generalized Riemann Hypothesis every even integer larger than <span>\\\\(\\\\exp (\\\\exp (14))\\\\)</span> can be written as the sum of a prime number and a number that has at most two prime factors.</p>\",\"PeriodicalId\":501430,\"journal\":{\"name\":\"The Ramanujan Journal\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-03\",\"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/s11139-024-00866-x\",\"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/s11139-024-00866-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis
We prove that assuming the Generalized Riemann Hypothesis every even integer larger than \(\exp (\exp (14))\) can be written as the sum of a prime number and a number that has at most two prime factors.
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