International Journal of Media and Networks(IJMN)
ISSN: 2995-3286 | DOI: 10.33140/IJMN
Impact Factor: 1.02
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An Elementary Proof of the Goldbach Conjecture for n ≥ 8
Abstract
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.