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.File allegati a questo prodotto
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