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 … Continue reading Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000

## Magic Squares of Orders 30, 36 and 40 With 22

Order 30 Below are magic squares of order 30, 36 and 40 with 22. The magic square of order 30 is made with equal sums blocks of order 6. The blocks giving number 2 twice is made from bordered magic square of order 6. There are total 25 blocks of order 6 with equal sums … Continue reading Magic Squares of Orders 30, 36 and 40 With 22

## Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531

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 … Continue reading Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531

## Magic Square of Order 40 With 22

Below is a a magic square of order 40 made from consecutive number 1 to 1600. It contains 16 equal sums bordered magic squares of order 8 and 36 equal sums pandiagonal magic squares of order 4. If we consider 16 pandiagonal magic squares of order 4 appearing in 16 bordered magic squares of order 8, then there are 52 pandiagonal magic squares of order … Continue reading Magic Square of Order 40 With 22

## Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202

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 10000 in terms of … Continue reading Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202

## Magic Square of Order 36 With 22

Below is a a magic square of order 36 made from consecutive number 1 to 1296. It contains 14 equal sums bordered magic squares of order 8 and 25 equal sums pandiagonal magic squares of order 4. If we consider 14 pandiagonal magic squares of order 4 appearing in 14 bordered magic squares of order … Continue reading Magic Square of Order 36 With 22