Leonhard Eulertranslator, Jonathan David Evanstranslator
{"title":"关于友好数字","authors":"Leonhard Eulertranslator, Jonathan David Evanstranslator","doi":"arxiv-2409.08783","DOIUrl":null,"url":null,"abstract":"This is an English translation of Euler's 1750 paper \"De numeris\namicabilibus\" (E152), the most substantial of his three works with this name.\nIn it, he expounds at great length the ad hoc methods he has developed to\nsearch for pairs of amicable numbers, concluding with a list of around 60 new\npairs.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Amicable Numbers\",\"authors\":\"Leonhard Eulertranslator, Jonathan David Evanstranslator\",\"doi\":\"arxiv-2409.08783\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is an English translation of Euler's 1750 paper \\\"De numeris\\namicabilibus\\\" (E152), the most substantial of his three works with this name.\\nIn it, he expounds at great length the ad hoc methods he has developed to\\nsearch for pairs of amicable numbers, concluding with a list of around 60 new\\npairs.\",\"PeriodicalId\":501064,\"journal\":{\"name\":\"arXiv - MATH - Number Theory\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Number Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08783\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08783","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This is an English translation of Euler's 1750 paper "De numeris
amicabilibus" (E152), the most substantial of his three works with this name.
In it, he expounds at great length the ad hoc methods he has developed to
search for pairs of amicable numbers, concluding with a list of around 60 new
pairs.