Análisis de la Conjetura de Goldbach
DOI:
https://doi.org/10.15665/rp.v22i1.3318Keywords:
prime numbers, Goldbach's conjecture, matrix of prime numbers, even numbers, odd numbers.Abstract
This paper presents a proof of Goldbach's conjectures, both strong and weak, which state that: "Every even number greater than 2 can be written as the sum of two prime numbers" and that "Every odd number greater than 5 can be written as the sum of three prime numbers. To carry out these demonstrations, all the combinations were initially analyzed to obtain the even and odd numbers generated by adding two or three prime numbers, respectively. In the end, two very revealing mathematical relationships were obtained, demonstrated by the method of mathematical induction, which allows verifying the validity of these conjectures.
References
S. Barrios, Historia de las matemáticas, España: The Galobart Books, 2018.
I. Stewart, Los grandes problemas matemáticos, España: Crítica, 2014.
G. J y P. Sandoval, «Fractals and discrete dynamics associated to prime numbers,» Chaos, Solitons and Fractals, pp. 1-11, 2020.
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