This work is also available online at the following link:<\/p>\n\n\n\n
Prime Magic Squares of Order 24<\/h4>\n\n\n\n
Below are few examples of prime magic squares of order 24 with different representations<\/strong>.<\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of four equal sum prime magic square 12. Each block of order 12 is again composed of 16 different sums<\/strong> prime magic squares of order 3.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong> composed of all equal sums blocks of order 3. In order to bring these equal sums we used the idea of fixed prime 1000003 in each block of order 3.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of four equal sum prime magic square 12. Each block of order 12 is again composed of 9 different sums<\/strong> prime magic squares of order 4.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong> composed of all equal sums blocks of order 4. <\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of different sums<\/strong> concentric prime magic square of order 6. The internal blocks of order 4 are also prime magic squares of order 4 with different sums<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of equal sums concentric prime magic square of order 6. The internal blocks of order 4 are also prime magic squares of order 4 with equal magic sums.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of different sums concentric prime magic square of order 8<\/strong>. The internal blocks of orders 6 and 4 are also of different sums prime magic squares.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of equal sums concentric prime magic square of order 8<\/strong>. The internal blocks of orders 6 and 4 are also of equal sums prime magic squares<\/strong>.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of four equal sums concentric prime magic square of order 12<\/strong>. The internal blocks of orders 10, 8, 6 and 4 are also of equal sums prime magic squares<\/strong>.<\/p>\n\n\n\n <\/p>\n\n\n\n It is cocentric single-layer bordered prime magic square of order 24<\/strong>. The internal prime magic squares of orders 22, 22, …. ,6,4 are all prime magic squares as given in an previous work on prime magic square of order 22.<\/p>\n\n\n\n <\/p>\n\n\n\n Below are few examples of prime magic squares of order 25 with different representations<\/strong>.<\/p>\n\n\n\n It is block-structured prime magic square of order 25<\/strong>. It is composed of different sums<\/strong> prime magic squares of order 5. <\/strong>The internal blocks of order 3 are also different sums<\/strong> prime magic squares of order 3.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 25<\/strong>. It is composed of equal sums<\/strong> prime magic squares of order 5. <\/strong>The internal blocks of order 3 are also of equal sums<\/strong> prime magic squares of order 3.<\/p>\n\n\n\n <\/p>\n\n\n\n It is cocentric single-layer bordered prime magic square of order 25<\/strong>. The internal prime magic squares of orders 23, 21, …, 3 are all prime magic squares as given in an previous work on prime magic squares of order 23.<\/p>\n\n\n\n <\/p>\n\n\n\n Below are few examples of prime magic squares of order 26 with different representations<\/strong>. It based on the examples of prime magic squares of order 24. <\/p>\n\n\n\n <\/p>\n\n\n\n It is block-bordered prime magic square of order 26<\/strong> embedded with four equal sums<\/strong> prime magic squares of order 12. Each block of order 12 is composed of 16 different sums<\/strong> prime magic squares of order 3.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-bordered prime magic square of order 26<\/strong> embedded with prime magic square of order 24. The prime magic square of order 24 is composed equal sums<\/strong> prime magic squares of order 3. It order to bring these magic squares of order 3 to becom equal sum a repeated prime 100003 is considere in middle of each block of order 3.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-bordered prime magic square of order 26<\/strong> embedded with four equal sums<\/strong> prime magic squares of order 12. Each block of order 12 is composed of 9 different sums<\/strong> prime magic squares of order 4.<\/p>\n\n\n\n It is block-bordered prime magic square of order 26<\/strong> embedded with prime magic square of order 24. The prime magic square of order 24 is composed equal sums<\/strong> prime magic squares of order 4. <\/p>\n\n\n\n It is block-bordered prime magic square of order 26<\/strong> embedded with prime magic square of order 24. The prime magic square of order 24 is composed different sums<\/strong> concentric magic square of order 6. The internal blocks of order 4 are also prime magic squares with different magic sums.<\/p>\n\n\n\n <\/p>\n\n\n\n This example shall be give later on.<\/p>\n\n\n\n It is block-bordered prime magic square of order 26<\/strong> embedded with prime magic square of order 24. The prime magic square of order 24 is composed equal sums<\/strong> concentric magic square of order 6. The internal blocks of order 4 are also prime magic squares with equal magic sums.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square<\/strong> of order 26 embedded with prime magic square of order 24. It is composed of different sums concentric prime magic square<\/strong> of order 8. The internal blocks of orders 6 and 4 are also of different sums<\/strong> prime magic squares.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square<\/strong> of order 26 embedded with prime magic square of order 24. It is composed of equal sums concentric prime magic square<\/strong> of order 8. The internal blocks of orders 6 and 4 are also of equal sums<\/strong> prime magic squares.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square of order 24<\/strong>. It is composed of four equal sums concentric prime magic square of order 12<\/strong>. The internal blocks of orders 10, 8, 6 and 4 are also of equal sums prime magic squares<\/strong>.<\/p>\n\n\n\n <\/p>\n\n\n\n It is block-structured prime magic square<\/strong> of order 26 composed of four equal sums single-layer bordered prime magic squares<\/strong> of order 13.<\/p>\n\n\n\n <\/p>\n\n\n\n It is cocentric single-layer bordered prime magic square of order 26<\/strong>. The internal prime magic squares of orders 24 is also single-layer bordred of order 24 as studied above.<\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n\n\n\nExample 1. Equal Sums Blocks of Order 12 Composed of Different Sums of Order 3<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-12-3d-1.png\")
<\/figure>\n<\/div>\n\n\nExample 2. Equal Sums Blocks of Order 3<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-12-3e-2.png\")
<\/figure>\n<\/div>\n\n\nExample 3. Equal Sums Blocks of Order 12 Composed of Different Sums of Order 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-12-4d-3.png\")
<\/figure>\n<\/div>\n\n\nExample 4. Equal Sums Blocks of Order 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-12-4e-4.png\")
<\/figure>\n<\/div>\n\n\nExample 5. Different Sums Blocks of Order 6 with Different Sums Blocks of Order 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-6d-5.png\")
<\/figure>\n<\/div>\n\n\nExample 6. Equal Sums Blocks of Order 6 with Equal Sums Blocks of Order 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-6e-6.png\")
<\/figure>\n<\/div>\n\n\nExample 7. Different Sums Blocks of Order 8 with Different Sums Blocks of Orders 6 and 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-8c-7.png\")
<\/figure>\n<\/div>\n\n\nExample 8. Equal Sums Blocks of Order 8 with Equal Sums Blocks of Orders 6 and 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-8e-8.png\")
<\/figure>\n<\/div>\n\n\nExample 9. Equal Sums Blocks of Order 8 with Equal Sums Blocks of Orders 6 and 4<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24-12c-8.png\")
<\/figure>\n<\/div>\n\n\nExample 10. Single-Layer Bordered Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/24c-9.png\")
<\/figure>\n<\/div>\n\n\nPrime Magic Squares of Order 25<\/h4>\n\n\n\n
Example 11. Different Sums Blocks of Order 5<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/25-5d-1.png\")
<\/figure>\n<\/div>\n\n\nExample 12. Equal Sums Blocks of Order 5<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/25-5e-2.png\")
<\/figure>\n<\/div>\n\n\nExample 13. Single-Layer Bordered Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/25c-3.png\")
<\/figure>\n<\/div>\n\n\nPrime Magic Squares of Order 26<\/h4>\n\n\n\n
Example 14. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-24-12-3d-1.png\")
<\/figure>\n<\/div>\n\n\nExample 15. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-3e-2.png\")
<\/figure>\n<\/div>\n\n\nExample 16. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-24-12-4d-3.png\")
<\/figure>\n<\/div>\n\n\nExample 17. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-24-12-4e-3.png\")
<\/figure>\n<\/div>\n\n\nExample 18. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-6e-5.png\")
<\/figure>\n<\/div>\n\n\nExample 19. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n\n
Example 20. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-8d-6.png\")
<\/figure>\n<\/div>\n\n\nExample 21. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-8e-7.png\")
<\/figure>\n<\/div>\n\n\nExample 22. Block-Bordered Embedded Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-12c-8.png\")
<\/figure>\n<\/div>\n\n\nExample 23. Block-Structured Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26-13c-9.png\")
<\/figure>\n<\/div>\n\n\nExample 24. Cocentric Single-Layer Bordered Prime Magic Square<\/h4>\n\n\n
![\"\"](\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/26c-8.png\")
<\/figure>\n<\/div>\n\n\nReferences<\/h4>\n\n\n\n
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