This work brings Bordered Magic Squares of Single Digit or Single Layer or Cocentric Bordered Magic Squares of even orders. By Single Digit or Single Layer or Cocentric Bordered magic squares, we understand that when we remove the upper layer or upper border still we are left with magic squares of lower orders. This work is specially for the prime number entries. It is done for odd orders. For even orders refer the link.
Instead of writing from upper to lower orders, we shall write below some examples from lower to upper orders. This means that the lower order magic squares are embedded or nested in the next orders. See below examples starting from magic squares of order 3.
Cocentric Prime Magic Squares of Odd Orders up to 111
Prime Magic Square of Order 3
Prime Magic Square of Order 5
Prime Magic Square of Order 7
Prime Magic Square of Order 9
Prime Magic Square of Order 11
Prime Magic Square of Order 13
Prime Magic Square of Order 15
Prime Magic Square of Order 17
Prime Magic Square of Order 19
Prime Magic Square of Order 21
Prime Magic Square of Order 23
Prime Magic Square of Order 25
Prime Magic Square of Order 27
Prime Magic Square of Order 29
Prime Magic Square of Order 31
Prime Magic Square of Order 33
Prime Magic Square of Order 35
Prime Magic Square of Order 37
Prime Magic Square of Order 39
Prime Magic Square of Order 41
Prime Magic Square of Order 43
Prime Magic Square of Order 45
Prime Magic Square of Order 47
Prime Magic Square of Order 49
Prime Magic Square of Order 51
Due to size of the magic squares, the higher orders are not shown here. They are in txt file given in Zenodo work. See the link below:
References
- H. White, Magic Squares of Prime Numbers, https://budshaw.ca/PrimeMagicSquares.html
- Heinz, Harvey “Prime Numbers Magic Squares” http://recmath.org/Magic%20Squares/primesqr.htm
- Makarova, Natalia “Concentric magic squares of primes”
http://primesmagicgames.altervista.org/wp/forums/topic/concentric-magic-squares-of-primes/