Thinking over the Goldbach conjecture solution from a probabilistic point of view

Rosario D'Amico

Abstract


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.


Keywords


Goldbach's conjecture, Prime number, Probability,

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References


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DOI: http://dx.doi.org/10.23755/rm.v54i0.1662

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