### Crazy Representations of Numbers from 1-100000

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,

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:

- 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**.

### Crazy Representations of Numbers from 100001-200000

Recently, author wrote the numbers from 100001 to 200000 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 five parts. See the links below:

- Inder J. Taneja, Crazy Representations of Natural Numbers From 100001 to 120000 – Revised,
**Zenodo**, August 02, 2024, pp. 1-527, https://doi.org/10.5281/zenodo.13152357 - Inder J. Taneja, Crazy Representations of Natural Numbers From 120001 to 140000 – Revised,
**Zenodo**, August 02, 2024, pp. 1-524, https://doi.org/10.5281/zenodo.13153617 - Inder J. Taneja, Crazy Representations of Natural Numbers From 140001 to 160000 – Revised,
**Zenodo**, August 02, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13153790 - Inder J. Taneja, Crazy Representations of Natural Numbers From 160001 to 180000 – Revised,
**Zenodo**, August 02, 2024, pp. 1-521, https://doi.org/10.5281/zenodo.13153929 - Inder J. Taneja, Crazy Representations of Natural Numbers From 180001 to 200000 – Revised,
**Zenodo**, August 02, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13154022

In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with **factorials**. Below are these two numbers:

In case of decreasing orders we have all the numbers from 100001 to 200000 using only basic opertions and **factorial**.

### Crazy Representations of Numbers from 200001-300000

The above study is extended to 300000 numbers, i.e., 200001-300000. Again the work is divided in five parts:

- Inder J. Taneja, Crazy Representations of Natural Numbers from 200001 to 220000 – Revised,
**Zenodo**, August 05, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13215779. - Inder J. Taneja, Crazy Representations of Natural Numbers from 220001 to 240000 – Revised,
**Zenodo**, August 05, 2024, pp. 1-531, https://doi.org/10.5281/zenodo.13215838. - Inder J. Taneja, Crazy Representations of Natural Numbers from 240001 to 260000 – Revised,
**Zenodo**, August 05, 2024, pp. 1-529, https://doi.org/10.5281/zenodo.13215887. - Inder J. Taneja, Crazy Representations of Natural Numbers from 260001 to 280000 – Revised,
**Zenodo**, August 05, 2024, pp. 1-534, https://doi.org/10.5281/zenodo.13215912. - Inder J. Taneja, Crazy Representations of Natural Numbers from 280001 to 300000 – Revised,
**Zenodo**, August 05, 2024, pp. 1-533, https://doi.org/10.5281/zenodo.13215947.

In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with **factorials**. Below are these two numbers:

In case of decreasing orders we have all the numbers from 200001 to 300000 using only basic opertions and **factorial**.

### Crazy Representations of Different Kind

Still a different kind of work is done by using the palindromic digits as 1357-9-7531, 2022-2202 etc. See the following links:

**Inder J. Taneja**,*Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202*,**Zenodo**, January 02, 2022, pp. 1-238, https://doi.org/10.5281/zenodo.5813778.**Inder J. Taneja**,*Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531*,**Zenodo**, January 06, 2022, pp. 1-266, https://doi.org/10.5281/zenodo.5826240.**Inder J. Taneja**,*Hardy-Ramanujan Number – 1729*,**Zenodo**, December 22, 2021, pp. 1-106, https://doi.org/10.5281/zenodo.5799640.

### Site Links of Crazy Representations

**Inder J. Taneja, The Crazy Representations and 10958 Problem**,**Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial: From 20001-100000****Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial: From 100001-200000****Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000****Inder J. Taneja, Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531****Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202,****Inder J. Taneja, Multiple Choices for Crazy Representations of Natural Numbers**

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