Number Theory

    

Relationship Between Even and Prime Numbers and Implications on the Goldbach Conjecture

Authors: Samuel Bonaya Buya

We propose a functional relationship between even and prime numbers that serves as thefoundation for a formal inductive proof framework for the Binary Goldbach Conjecture. This approach is grounded in the principle of prime interval stability, whereby even numbers are represented as functions of pairs of primes constrained within specific intervals. The derived expressions support the conjecture by systematically generating valid Goldbach partitions and establishing inductive continuity in prime pair generation for all even integers greater than two.

Comments: 6 Pages. (Note by viXra Admin: For the last time, please submit article written with AI assistance to ai.viXra.org)

Download: PDF

Submission history

[v1] 2025-05-01 20:48:41

Unique-IP document downloads: 252 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus