Open AccessProving Goldbach Conjecture by Function Method
Author(s) -
Rizwan Rashid,
S S. Bal,
Ajinder Kaur
Publication year - 2021
Publication title -
journal of theory and practice of contemporary education
Language(s) - English
Resource type - Journals
ISSN - 2790-1521
DOI - 10.53469/jtpce.2021.01(01).02
Subject(s) - goldbach's conjecture , mathematics , conjecture , function (biology) , prime (order theory) , interval (graph theory) , variable (mathematics) , set (abstract data type) , domain (mathematical analysis) , meaning (existential) , proposition , calculus (dental) , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , computer science , medicine , psychology , philosophy , dentistry , epistemology , evolutionary biology , psychotherapist , biology , programming language
Through the in-depth reading of the proposition of the Goldbach conjecture, the paper holds that the proof of the screening method is not in line with the meaning of the question, and thus puts forward the proof of the function method. In this paper, two independent linear prime functions of two variables p₁and p₂are constructed in the variable interval [1, 2m], and then two equivalent linear even functions of two variables N and 2m are logically deduced. The present study came to a consistent conclusion based on the qualitative and quantitative analysis of these two equivalent even functions: in the same definitive domain (greater than 2), the equations N = 2m must be established. From this, it is deduced that 2m=p₁+p₂ surely is set up.