Gustavo Garcia
Spain
Publications
-
Short Article
An Elementary Proof of the Goldbach Conjecture for n ≥ 8
Author(s): Gustavo Garcia and Oscar Melchor*
An elementary proof of the strong form of the Goldbach Conjecture is presented: every even number greater than 2 can be expressed as the sum of two prime num- bers. The strategy is based on analyzing the possible pairs of odd numbers that sum up to 2n and applying a sieve based on the divisibility of primes less than or equal to √ 2n. It is shown that for n ≥ 8, at least one of these pairs consists of two prime numbers... Read More»

