{"id":19224,"date":"2026-06-08T03:02:30","date_gmt":"2026-06-08T06:02:30","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=19224"},"modified":"2026-06-08T03:44:32","modified_gmt":"2026-06-08T06:44:32","slug":"cocentric-single-layer-bordered-prime-magic-squares-of-even-orders-110","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=19224","title":{"rendered":"Single-Layer Bordered Prime Magic Squares of Even Orders"},"content":{"rendered":"\n

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 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 both even and odd orders. Here we shall present only for even orders. For odd orders refer the link<\/a>. Instead of writing from upper to lower orders, we shall write below lower to upper orders. This means that the lower order magic square is embedded or nested in the next orders. See below examples starting from magic squares of order 4.<\/p>\n\n\n\n

Cocentric Prime Magic Squares of Orders up to 110<\/h4>\n\n\n\n
Prime Magic Square of Order 4<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

Prime Magic Square of Order 6<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 8<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 10<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 12<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 14<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 16<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 18<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 20<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 22<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 24<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 26<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

Prime Magic Square of Order 28<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 30<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 32<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 34<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 36<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 38<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 40<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 42<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 44<\/h5>\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 46<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 48<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n
Prime Magic Square of Order 50<\/h5>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n

The further orders are not put here as they are of big size. The txt file of further orders is given in authors work appearing in zenodo. See the link below……<\/p>\n\n\n\n

<\/p>\n\n\n\n

References<\/h4>\n\n\n\n
    \n
  1. H. White, Magic Squares of Prime Numbers, https:\/\/budshaw.ca\/PrimeMagicSquares.html<\/a><\/li>\n\n\n\n
  2. Heinz, Harvey “Prime Numbers Magic Squares” http:\/\/recmath.org\/Magic%20Squares\/primesqr.htm<\/a><\/li>\n\n\n\n
  3. Makarova, Natalia “Concentric magic squares of primes”
    http:\/\/primesmagicgames.altervista.org\/wp\/forums\/topic\/concentric-magic-squares-of-primes\/<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    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 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 […]<\/p>\n","protected":false},"author":1,"featured_media":19242,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-19224","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-magic-squares"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/06\/30x30c-1-scaled.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/19224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=19224"}],"version-history":[{"count":6,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/19224\/revisions"}],"predecessor-version":[{"id":19290,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/19224\/revisions\/19290"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/19242"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}