{"title":"Sophie Germain和Safe Prime Products Modulo 18","authors":"Roger B. Nelsen","doi":"10.1080/0025570x.2023.2266348","DOIUrl":null,"url":null,"abstract":"SummaryWe show visually that if p and q=2p+1 are each prime, then the product pq is 1 more than a multiple of 18. AcknowledgmentThe author wishes to thank an anonymous reviewer for helpful comments and suggestions on an earlier draft of this note.Additional informationNotes on contributorsRoger B. NelsenROGER NELSEN (MR Author ID: 237909) is a professor emeritus at Lewis & Clark College, where he taught mathematics and statistics for 40 years.","PeriodicalId":18344,"journal":{"name":"Mathematics Magazine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sophie Germain and Safe Prime Products Modulo 18\",\"authors\":\"Roger B. Nelsen\",\"doi\":\"10.1080/0025570x.2023.2266348\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"SummaryWe show visually that if p and q=2p+1 are each prime, then the product pq is 1 more than a multiple of 18. AcknowledgmentThe author wishes to thank an anonymous reviewer for helpful comments and suggestions on an earlier draft of this note.Additional informationNotes on contributorsRoger B. NelsenROGER NELSEN (MR Author ID: 237909) is a professor emeritus at Lewis & Clark College, where he taught mathematics and statistics for 40 years.\",\"PeriodicalId\":18344,\"journal\":{\"name\":\"Mathematics Magazine\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics Magazine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/0025570x.2023.2266348\",\"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":"Mathematics Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0025570x.2023.2266348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
SummaryWe show visually that if p and q=2p+1 are each prime, then the product pq is 1 more than a multiple of 18. AcknowledgmentThe author wishes to thank an anonymous reviewer for helpful comments and suggestions on an earlier draft of this note.Additional informationNotes on contributorsRoger B. NelsenROGER NELSEN (MR Author ID: 237909) is a professor emeritus at Lewis & Clark College, where he taught mathematics and statistics for 40 years.
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