Article thumbnail

A prospect proof of the Goldbachs conjecture

By Douadi Mihoubi

Abstract

Based on, the well-ordering (N; <) of the set of natural numbers N, and some basic concepts of number theory, and using the proof by contradiction and the inductive proof on N, we prove that the validity of the Goldbachs statement: every even integer 2n 4, with n 2, is the sum of two primes. This result con\u85rms the Goldbach conjecture, which allow to inserting it as theorem in number theory. Key Words: Well-ordering (N; <), basic concepts and theorems on number theory, the indirect and inductive proofs on natural numbers. AMS 2010: 11AXX, 11p32, 11B37. 1 A brief history and some results on the con-jecture Historically, from the reference [6], the conjecture dating since 1742 in a letter addressed to Euler from Goldbach expresses the following fact

Year: 2015
OAI identifier: oai:CiteSeerX.psu:10.1.1.943.2777
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://vixra.org/pdf/1505.0203... (external link)
  • http://vixra.org/pdf/1505.0203... (external link)
  • http://citeseerx.ist.psu.edu/v... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.