Construction of a repetitive magic square with Ramanujan's number as its product
Prasantha Bharathi Dhandapani,
Víctor Leiva,
Carlos Martin-Barreiro
Affiliations
Prasantha Bharathi Dhandapani
Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore, Tamil Nadu, India
Víctor Leiva
School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile; Corresponding author.
Carlos Martin-Barreiro
Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil, Ecuador; Faculty of Engineering, Universidad Espíritu Santo, Samborondón, Ecuador
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.
