# Magic Squares of Orders 17 and 19

#### ByInder J. Taneja

Jun 10, 2023

Recently, author worked with cornered Magic Squares based on two-by-two divisions. These works can be accessed at the following links:
1. Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 10
2. Inder Jeet Taneja, Cornered Magic Squares of Orders 11 to 13
3. Inder Jeet Taneja, Cornered Magic Squares of Orders 14 to 24

Also, the author worked on even order double digits bordered magic squares. This works starts from order 8 and goes up to order 40. See below the links:

The work for order of type 4k, k=1, 2, 3, … i.e., for orders 8, 12, 16, 20, 24, 28, 32, 36 and 40:
1. Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24.
2. Two Digits Bordered Magic Squares of Orders 28 and 32.
3. Two digits Bordered Magic Squares of Order 36.
4. Two digits Bordered Magic Squares of Order 40.

The work is for the order of type 4k+2, k=1, 2, 3, …, i.e., for the orders 10, 14, 18, 22, 26, 30, 34 and 38:
1. Two digits Bordered Magic Squares of Orders 10, 14, 18 and 22.
2. Two digits Bordered Magic Squares of Orders 26 and 30.
3. Two digits Bordered Magic Squares of Order 34.
4. Two digits Bordered Magic Squares of Order 38.

This work is for the odd order magic squares. The work includes three type of magic squares:
2. Double digits bordered magic squares.
3. Cornered magic squares.
To construct double digits and cornered magic squares using software, the reader can follow H. White’s site: Magic Squares

This work is for orders 17 to 19. To have better idea, pdf files of these magic squares are also embedded. The readers can also download these files. For the previous work from orders 3 to 15 see the following link:
Inder J. Taneja, Odd Order Magic Squares: Orders 3 to 15

### Magic Squares of Order 17

There are total 65 magic squares of order 17. Out of them first six are traditional centered magic squares. Magic squares from 7 to 25 are double digits bordered magic squares. Magic squares from 26 to 65 are cornered magic squares. These cornered magic squares include as centered and double digits magic squares of orders, 5, 7, 9, 11, 13 and 15. Above we have written only few examples. Complete list is given below as pdf file for download.

### Magic Square of Order 19

There are total 110 magic squares of order 19. Out of them first six are traditional centered magic squares. Magic squares from 7 to 47 are double digits bordered magic squares. Magic squares from 48 to 110 are cornered magic squares. These cornered magic squares include as centered and double digits magic squares of orders, 5, 7, 9, 11, 13, 15 and 17. Above we have written only few examples. Complete list is given below as pdf file for download.