Published December 20, 2024 | Version v3
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Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729

  • 1. Formarly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil

Description

This paper brings representations of 1729, a famous Hardy-Ramanujan number in different ways. These representations are of crazy-type, single digit, single letter, Selfie-type, running expressions, selfie fractions, equivalent fractions, Triangular, Fibonacci, fixed digits repetitions prime numbers patterns, Pythagorean triples, palindromic-type, polygonal-type, prime numbers, embedded, etc. Some quotes and historical notes on Ramanujan's life are also specified. This work brings magic squares connected with S. Ramanujan's life and with Hardy-Ramanujan number 1729. There are three different types of magic squares. The first type is based on some historical years of S. Ramanujan's life. The second type is with magic sum as 1729. In this case the magic squares constructed are of orders 7, 13, 14 and 19. The third type is magic squares based on Pythagorean tripes where the number 1729 is one the entry. In this case the magic squares constructed are of orders 6, 7, 11 and 19. 

 

 

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