During past years author worked with representations of numbers in terms of 1 to 9 and 9 to 1. These representations called as crazy representations, and are done from 1 to 200000. For details see the references. This work is little different. It brings crazy representations of numbers from 1 to 20000 in terms of palindrodic digits of 1357-9-7531. For each number these 9 digits are used. This we have done by use of basic operations and factorial. There are few numbers where we used square-root also.
Below is a link of download of complete work:
- 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.
Out of 20000 there are only 21 numbers where used the square-root along with factorials. See below these numbers:
The examples below are by use of factorial:
Below are few examples:
A similar kind of work for the numbers from 1 to 10000 is done by use of 2022-2202. See below the link:
- Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202, https://inderjtaneja.com/2022/01/02/representation-of-numbers-from-1-to-10000-in-terms-of-palindromic-digits-2022-2202/