A methodology of Using the Decomposition of Odd Pairs in Relation to Goldbach's Conjecture
Year: 2025
Type: preprint
Abstract: The Goldbach Conjecture, one of the oldest unsolved problems in number theory, states that every even integer greater than two can be expressed as the sum of two prime numbers. In this paper, the problem is solved through a combination of number-theory methods and the pigeonhole principle. By fragmenting the conjecture into smaller, provable components, a logical framework is built up that connects the circulation of odd primes to the structure of even numbers. Although our results do not set up the Goldbach conjecture, they give our perspective into the combinatorial mechanisms underlying Goldbach-type decompositions and clarify limitations that any probable disproof must fulfill.
Author: NGHIEM, BAO THINH
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7105544010
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