Number Theory

    

A Prospect Proof of the Goldbach's Conjecture

Authors: Douadi MIHOUBI

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 Goldbach's statement: every even integer 2n > 4, with n > 2, is the sum of two primes. This result confirms the Goldbach conjecture, which allows 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.

Comments: 19 Pages.

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Submission history

[v1] 2015-05-26 15:26:42

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