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发表于 2013-2-19 11:36:07
The Goldbach's conjecture proved|
Authors: Agostino Prástaro
(Submitted on 13 Aug 2012 (v1), last revised 8 Feb 2013 (this version, v8))
Abstract: We give a direct proof of the Goldbach's conjecture, (GC), in number theory, 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 $\ge 2$. The proof is obtained by recasting the problem in the framework of the Commutative Algebra and Algebraic Topology.
Even if in this paper we consider 1 as a prime number, our proof of the GC works also for the restricted Goldbach conjecture, (RGC), i.e., by excluding 1 from the set of prime numbers.