{"title":"平方素数的分布","authors":"Raghavendra Bhat","doi":"10.35834/2022/3401121","DOIUrl":null,"url":null,"abstract":"For a 6= 1 and p prime, we define numbers of the form pa to be Square-Prime (SP) Numbers. For example, 75 = 3 · 25; 108 = 3 · 36; 45 = 5 · 9. These numbers are listed in the OEIS as A228056. We study the properties of these numbers, their distribution/density and also develop a few claims on their distribution/density. We rely on computer programs to verify some conjectures up to large numbers.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Distribution of Square-Prime Numbers\",\"authors\":\"Raghavendra Bhat\",\"doi\":\"10.35834/2022/3401121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a 6= 1 and p prime, we define numbers of the form pa to be Square-Prime (SP) Numbers. For example, 75 = 3 · 25; 108 = 3 · 36; 45 = 5 · 9. These numbers are listed in the OEIS as A228056. We study the properties of these numbers, their distribution/density and also develop a few claims on their distribution/density. We rely on computer programs to verify some conjectures up to large numbers.\",\"PeriodicalId\":42784,\"journal\":{\"name\":\"Missouri Journal of Mathematical Sciences\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Missouri Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35834/2022/3401121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Missouri Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35834/2022/3401121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
For a 6= 1 and p prime, we define numbers of the form pa to be Square-Prime (SP) Numbers. For example, 75 = 3 · 25; 108 = 3 · 36; 45 = 5 · 9. These numbers are listed in the OEIS as A228056. We study the properties of these numbers, their distribution/density and also develop a few claims on their distribution/density. We rely on computer programs to verify some conjectures up to large numbers.
期刊介绍：
Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.
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