In 2013-2014, author (click here) wrote natural numbers in increasing and decreasing orders of 1 to 9 using only basic operations. See below some examples:
For more details and extension work by other see the following link:
- Inder J. Taneja, The Crazy Representations and 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/
The above study include the natural numbers till 30000. In some case factorials and or square-roots are used.
Recently, author wrote the above numbers till 100000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of factorials along with basic operations. Below are few examples
- Inder J. Taneja, Crazy Representations of Natural Numbers From 20001 to 40000, Zenodo, November 03, 2021, pp. 1-541, https://doi.org/10.5281/zenodo.5642776.
- Inder J. Taneja, Crazy Representations of Natural Numbers From 40001 to 60000, Zenodo, November 03, 2021, pp. 1-541, https://doi.org/10.5281/zenodo.5642826.
- Inder J. Taneja, Crazy Representations of Natural Numbers From 60001 to 80000, Zenodo, November 03, 2021, pp. 1-537, https://doi.org/10.5281/zenodo.5642896.
- Inder J. Taneja, Crazy Representations of Natural Numbers From 80001 to 100000, Zenodo, November 03, 2021, pp. 1-533, https://doi.org/10.5281/zenodo.5642929.