We give a direct proof of the Goldbach's conjecture in number theory, formulated in the Euler's form. The proof is also constructive, since it gives a criterion to find two prime numbers $\ge 1$, such that their sum gives a fixed even number $\ge 2$. (A {\em prime number} is an integer that can be divided only for itself other than for $1$. In this paper we consider $1$ as a prime number.) The proof is obtained by recasting the problem in the framework of the Commutative Algebra and Algebraic Topology.

The Landau's problems.I: The Goldbach's conjecture proved / Prastaro, Agostino. - ELETTRONICO. - (2012), pp. 1-27.

The Landau's problems.I: The Goldbach's conjecture proved

PRASTARO, Agostino
2012

Abstract

We give a direct proof of the Goldbach's conjecture in number theory, formulated in the Euler's form. The proof is also constructive, since it gives a criterion to find two prime numbers $\ge 1$, such that their sum gives a fixed even number $\ge 2$. (A {\em prime number} is an integer that can be divided only for itself other than for $1$. In this paper we consider $1$ as a prime number.) The proof is obtained by recasting the problem in the framework of the Commutative Algebra and Algebraic Topology.
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/480455
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