This work demonstrates a proof for the Goldbach conjecture in even integers, confirming it for all such numbers.
This work presents an elementary proof of the strong Goldbach conjecture. It establishes a rigorous lower bound on the number of representations of an even integer as a sum of two primes. The proof shows that every even integer greater than or equal to 320 has at least one such representation. Combined with existing computational verification of the conjecture up to 4x10^18, this result confirms the conjecture for all even integers.
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Emily Condit (2025) studied this question.
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