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:

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:

These numbers are written in four parts. See the links below:

  1. 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.
  2. 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.
  3. 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.
  4. 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.

Soon we shall write extension to 300000 numbers.

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