{"title":"A Positive Integer 𝑵 Such That 𝒑𝒏 + 𝒑𝒏+𝟑 ~ 𝒑𝒏+𝟏 + 𝒑𝒏+𝟐 For All 𝒏 ≥ 𝑵","authors":"Pham Minh Duc, Luong Van Tam","doi":"10.5121/mathsj.2023.10301","DOIUrl":"https://doi.org/10.5121/mathsj.2023.10301","url":null,"abstract":"According to Bertrand's postulate,we have 𝑝𝑛 + 𝑝𝑛 ≥ 𝑝𝑛+1 . Is it true that for all 𝑛 > 1 then 𝑝𝑛−1 + 𝑝𝑛 ≥ 𝑝𝑛+1? Then 𝑝𝑛 + 𝑝𝑛+3 > 𝑝𝑛+1 + 𝑝𝑛+2where 𝑛 ≥ 𝑁, 𝑁 is a large enough value?","PeriodicalId":472542,"journal":{"name":"Applied mathematics and sciences: an international journal","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135470172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}