Construction of a repetitive magic square with Ramanujan's number as its product

In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic c...

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Detalles Bibliográficos
Autores principales: Dhandapani, Prasantha Bharathi, Leiva, Víctor, Martin-Barreiro, Carlos
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9853301/
https://www.ncbi.nlm.nih.gov/pubmed/36685409
http://dx.doi.org/10.1016/j.heliyon.2022.e12046
Descripción
Sumario:In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic constant of the square is the number 40. The elements of these magic constants form an arithmetic progression. An algorithm to build magic squares is also proposed.

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