Advances in Theoretical and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 3

Goldbach conjecture and integer programming

  • Author:
  • Madjid Zerafat Angiz Langroudi1,, Gholamreza Jandaghi2,3,, Adli Ben Mustafa1,
  • Total Page Count: 7
  • Page Number: 279 to 285

1University Sains Malaysia (USM), Mathematical Group, Penang, Malaysia

2Faculty of Information Technology and Quantitative Sciences, UiTM, Malaysia

3Faculty of Management, Qom Campus, University of Tehran, Iran

*E-mail: mzarafat@yahoo.com

**E-mail: jandaghi@ftmsk.uitm.edu.my, jandaghi@ut.ac.ir

***E-mail: adli@cs.usm.my

Abstract

Making relation among different mathematics branches can expand the thought about solving a mathematical problem. The goldbach Conjecture is one of the mathematical problems which has not been proved since 1742. In this paper we will try to show that one is able to convert a theorem in number theory to a group of Integer Programming Problems that the proof of existence of their solutions is equivalent to the proof of the theorem.

Keywords

Goldbach Conjecture, Integer programming