This paper brings representations of 1729, a famous Hardy-Ramanujan number in different situations. 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, repeated, etc. Ideas toward magic squares are also extended. Some quotes and historical notes on Ramanujan’s life are also specified. It is revised and extended version of author’s previos work.
Below is a link for download the work:
- Inder J. Taneja, Hardy-Ramanujan Number – 1729, Zenodo, December 22, 2021, pp. 1-106, https://doi.org/10.5281/zenodo.5799640
- Pdf file for download
Below are examples of work given in 73 frames:
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