{"title":"哥德巴赫二元猜想的证明","authors":"V. N. Romanov","doi":"10.9790/9622-0707010104","DOIUrl":null,"url":null,"abstract":": The proof includes a column of similar steps and its aspects, treated in a special way. The concept of Unique Path of primes is explained and its effects are shown. In the midway of the proof, it is postponed for a while and a deviation from the course is taken to introduce a probably new axiom. Afterwards the proof restarts again, then definitions of 'list' & 'choice' are given and a claim is proved regarding them, two lemmas and their effects on the choice of a recycled prime discussed, hence using the axiom and other results the conjecture is proved. Please note : Every symbol 'p' with or without any suffix denotes some prime number. a|b means a divides b and a®b means a doesn't divide b. n is a natural number. The word 'prime' will hereafter mean prime number and 'even' mean even positive integer. The sign ' ' means 'there ∃ exist'. alternative","PeriodicalId":13972,"journal":{"name":"International Journal of Engineering Research and Applications","volume":"25 1","pages":"01-04"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Proof of Goldbach's binary conjecture\",\"authors\":\"V. N. Romanov\",\"doi\":\"10.9790/9622-0707010104\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": The proof includes a column of similar steps and its aspects, treated in a special way. The concept of Unique Path of primes is explained and its effects are shown. In the midway of the proof, it is postponed for a while and a deviation from the course is taken to introduce a probably new axiom. Afterwards the proof restarts again, then definitions of 'list' & 'choice' are given and a claim is proved regarding them, two lemmas and their effects on the choice of a recycled prime discussed, hence using the axiom and other results the conjecture is proved. Please note : Every symbol 'p' with or without any suffix denotes some prime number. a|b means a divides b and a®b means a doesn't divide b. n is a natural number. The word 'prime' will hereafter mean prime number and 'even' mean even positive integer. The sign ' ' means 'there ∃ exist'. alternative\",\"PeriodicalId\":13972,\"journal\":{\"name\":\"International Journal of Engineering Research and Applications\",\"volume\":\"25 1\",\"pages\":\"01-04\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Engineering Research and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9790/9622-0707010104\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Research and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9790/9622-0707010104","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
: The proof includes a column of similar steps and its aspects, treated in a special way. The concept of Unique Path of primes is explained and its effects are shown. In the midway of the proof, it is postponed for a while and a deviation from the course is taken to introduce a probably new axiom. Afterwards the proof restarts again, then definitions of 'list' & 'choice' are given and a claim is proved regarding them, two lemmas and their effects on the choice of a recycled prime discussed, hence using the axiom and other results the conjecture is proved. Please note : Every symbol 'p' with or without any suffix denotes some prime number. a|b means a divides b and a®b means a doesn't divide b. n is a natural number. The word 'prime' will hereafter mean prime number and 'even' mean even positive integer. The sign ' ' means 'there ∃ exist'. alternative