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math.NT2025
Goldbach Conjecture: Violation Probability and Generalization to Prime-like Distributions
Ameneh Farhadian
Due to the distribution of primes among integers, we establish an upper bound for the probability that the Goldbach conjecture fails. Assuming the conjecture holds t…
math.NT2022
A Simple Explanation for the Goldbach Conjecture
Ameneh Farhadian, Hamid Reza Fanai
In this paper, a simple explanation for the Goldbach Conjecture is given. We have shown that the probability of violating the conjecture not only for the prime numbers, but also fo…