Number Theory

    

Thinking Over the Goldbach Conjecture Solution from a Probabilistic Point of View

Authors: Rosario D'Amico

This paper aims to provide a set of considerations that allow us to see a possible solution to the problematic issue of Goldbach's "strong" conjecture, which amounts to asserting that any even natural number greater than 2 can be written as the sum of two prime numbers that are not necessarily distinct. Specifically, we will show mathematically that a hypothetical scenario in which no even composite number exists as a sum of two primes is impossible. This will be done by adopting a probabilistic method much simpler than the arithmetical attempts already present in literature.

Comments: 12 Pages. https://dx.doi.org/10.23755/rm.v54i0.1662 keywords: Goldbach' Conjecture, Prime numbers, Probability

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Submission history

[v1] 2025-04-10 12:43:49
[v2] 2025-08-20 20:27:57

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