{"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}
引用次数: 0
Abstract
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.