Published July 17, 2026 | Version v2

Concentric Even and Odd Orders Prime Magic Squares: Orders 1222 and 1223

  • 1. Formerly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil

Description

This work bring for the first time \textbf{concentric prime magic squares} of orders 1222 and 1223. Sometimes, these types of magic squares we call as concentric or single-layer or single-digit bordered prime magic squares. The work is concentrated specially to prime number entries. In case of even orders, we start with prime magic square of order 4. Increasing layer by layer we get the magic squares of orders 6, 8, 10, etc. In case of odd orders we start with prime magic square order 3. Increasing layer by layer we get magic squares of orders 5, 7, 9, etc. This work is done seven levels depending on the constants. In case of odd orders these constants are prime numbers, and are center points of the prime magic squares. In case of even orders, it is not necessary these these constants to be prime numbers, as these are the average of middle four entries of prime magic squares of order 4.  The first level gives us the orders 89 (odd) and 102 (even). The seventh level gives us the orders  1222 (even) and 1223 (odd). As soon as these constants increases, the order of concentric prime magic squares also increases. 

Excel files of complete work are also attached.

Files

Cocentric-1222-1223.pdf

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