Thinking over the Goldbach conjecture solution from a probabilistic point of view
DOI:
https://doi.org/10.23755/rm.v54i0.1662Keywords:
Goldbach's conjecture, Prime number, Probability,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.
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