Remarks on Goldbach’s Conjecture on Prime Numbers - Natural Science

NS > Vol.11 No.12, December 2019

Remarks on Goldbach’s Conjecture on Prime Numbers ()

HTML XML

Download as PDF (Size: 395KB) PP. 336-344

DOI: 10.4236/ns.2019.1112036 926 Downloads 4,007 Views Citations

Author(s)

Silviu Guiasu

Affiliation(s)

Department of Mathematics and Statistics, York University, Toronto, Canada.

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.

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

Share and Cite:

Guiasu, S. (2019) Remarks on Goldbach’s Conjecture on Prime Numbers. Natural Science, 11, 336-344. doi: 10.4236/ns.2019.1112036.

Journals Menu