TITLE:
Remarks on Goldbach’s Conjecture on Prime Numbers
AUTHORS:
Silviu Guiasu
KEYWORDS:
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
JOURNAL NAME:
Natural Science,
Vol.11 No.12,
December
19,
2019
ABSTRACT: 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.