Remarks on Goldbach’s Conjecture on Prime Numbers  

作　　者：Silviu Guiasu 

机构地区：[1]Department of Mathematics and Statistics, York University, Toronto, Canada

出　　处：《Natural Science》2019年第12期336-344,共9页自然科学期刊（英文）

摘　　要：The oldest Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. The recent proof [1] connected Goldbach’s Conjecture with the fact that every positive composite integer n strictly larger than 3, is located at the middle of the distance between two primes. The present paper contains explicit additional and complementary details of the proof, insisting on the existence and the number of Goldbach’s representations of even positive integers as sums of pairs of primes.The oldest Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. The recent proof [1] connected Goldbach’s Conjecture with the fact that every positive composite integer n strictly larger than 3, is located at the middle of the distance between two primes. The present paper contains explicit additional and complementary details of the proof, insisting on the existence and the number of Goldbach’s representations of even positive integers as sums of pairs of primes.

关 键 词：The Existence and the Number of GOLDBACH Solutions The Proof of Goldbach’s CONJECTURE Hidden Symmetry of PRIMES Matching PRIMES and ODD Composite INTEGERS Arranging ODD INTEGERS in Frames 

分 类 号：O15[理学—数学]