Office Applications and Entertainment, Magic Squares
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Attachment 14.14.22 |
About the Author
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Prime Number Composed Magic Twin Squares, 12 x 12
Squares B
16 Semi Magic Sub Squares (3 x 3)
MC12b = 132852
21061 |
6301 |
5851 |
7333 |
6451 |
19429 |
12043 |
2029 |
19141 |
1669 |
9433 |
22111 |
3331 |
20641 |
9241 |
4231 |
15271 |
13711 |
1789 |
17491 |
13933 |
11701 |
20479 |
1033 |
8821 |
6271 |
18121 |
21649 |
11491 |
73 |
19381 |
13693 |
139 |
19843 |
3301 |
10069 |
7759 |
5011 |
20443 |
21379 |
6091 |
5743 |
4093 |
8971 |
20149 |
6781 |
5419 |
21013 |
4261 |
18523 |
10429 |
1303 |
17659 |
14251 |
13831 |
16651 |
2731 |
4339 |
16903 |
11971 |
21193 |
9679 |
2341 |
10531 |
9463 |
13219 |
15289 |
7591 |
10333 |
22093 |
10891 |
229 |
8011 |
6661 |
18541 |
11161 |
11551 |
10501 |
8629 |
10861 |
13723 |
6871 |
7129 |
19213 |
3463 |
17209 |
12541 |
22039 |
3823 |
7351 |
8221 |
5521 |
19471 |
5443 |
14011 |
13759 |
21739 |
9343 |
2131 |
13 |
17839 |
15361 |
16363 |
16831 |
19 |
20899 |
12073 |
241 |
12823 |
17029 |
3361 |
9421 |
5869 |
17923 |
1021 |
13879 |
18313 |
3541 |
17293 |
12379 |
20359 |
601 |
12253 |
1951 |
16633 |
14629 |
13009 |
5653 |
14551 |
9439 |
3001 |
20773 |
31 |
15583 |
17599 |
21841 |
10711 |
661 |
19183 |
13681 |
349 |
20233 |
12919 |
61 |
|
MC12b = 164532
27283 |
8839 |
5011 |
11941 |
5521 |
23671 |
16363 |
2659 |
22111 |
12379 |
3583 |
25171 |
139 |
22861 |
18133 |
2131 |
21613 |
17389 |
1231 |
20983 |
18919 |
18253 |
22279 |
601 |
13711 |
9433 |
17989 |
27061 |
13999 |
73 |
23539 |
17491 |
103 |
10501 |
15271 |
15361 |
1699 |
16693 |
22741 |
26893 |
8389 |
5851 |
7309 |
6961 |
26863 |
4423 |
15649 |
21061 |
16231 |
6781 |
18121 |
5419 |
25411 |
10303 |
10861 |
26713 |
3559 |
10009 |
11161 |
19963 |
23203 |
17659 |
271 |
8821 |
7333 |
24979 |
22963 |
7459 |
10711 |
26701 |
14323 |
109 |
10891 |
4639 |
25603 |
13879 |
21601 |
5653 |
3931 |
21559 |
15643 |
2239 |
15331 |
23563 |
3361 |
22483 |
15289 |
27241 |
61 |
13831 |
14629 |
1033 |
25471 |
12163 |
11551 |
17419 |
26881 |
14011 |
241 |
13 |
19471 |
21649 |
22573 |
18541 |
19 |
26731 |
14251 |
151 |
16069 |
9001 |
16063 |
3469 |
16651 |
21013 |
14389 |
3373 |
23371 |
10069 |
14083 |
16981 |
25033 |
8221 |
7879 |
16141 |
5101 |
19891 |
3001 |
20551 |
17581 |
13003 |
4021 |
24109 |
31 |
23911 |
17191 |
21523 |
19381 |
229 |
23743 |
17209 |
181 |
18061 |
23029 |
43 |
|
MC12b = 203772
32611 |
15361 |
2971 |
6301 |
16363 |
28279 |
16693 |
1279 |
32971 |
7333 |
10429 |
33181 |
1303 |
28621 |
21019 |
11491 |
16831 |
22621 |
661 |
32371 |
17911 |
20749 |
30013 |
181 |
17029 |
6961 |
26953 |
33151 |
17749 |
43 |
33589 |
17293 |
61 |
22861 |
10501 |
17581 |
21061 |
3001 |
26881 |
32191 |
14593 |
4159 |
4129 |
14251 |
32563 |
11161 |
12541 |
27241 |
2131 |
24979 |
23833 |
3169 |
30871 |
16903 |
17791 |
30841 |
2311 |
6871 |
20443 |
23629 |
27751 |
22963 |
229 |
15583 |
5479 |
29881 |
29023 |
5851 |
16069 |
32911 |
17959 |
73 |
619 |
21193 |
29131 |
19543 |
25309 |
6091 |
5011 |
27943 |
17989 |
1033 |
24109 |
25801 |
19471 |
9859 |
21613 |
31393 |
3361 |
16189 |
14083 |
3919 |
32941 |
22369 |
3541 |
25033 |
30853 |
19891 |
199 |
7 |
22273 |
28663 |
31849 |
19081 |
13 |
27541 |
23293 |
109 |
22573 |
17659 |
10711 |
13759 |
6793 |
30391 |
13831 |
6553 |
30559 |
12379 |
19381 |
19183 |
28351 |
5101 |
17491 |
3853 |
26731 |
20359 |
3301 |
27409 |
20233 |
17923 |
1291 |
31729 |
19 |
28183 |
22741 |
33331 |
17419 |
193 |
33811 |
16981 |
151 |
20641 |
30271 |
31 |
|
MC12b = 210972
34471 |
4261 |
14011 |
13681 |
8221 |
30841 |
15271 |
5443 |
32029 |
12823 |
5659 |
34261 |
1621 |
32833 |
18289 |
4219 |
26683 |
21841 |
2713 |
29389 |
20641 |
16231 |
31723 |
4789 |
16651 |
15649 |
20443 |
34843 |
17839 |
61 |
34759 |
17911 |
73 |
23689 |
15361 |
13693 |
3673 |
21589 |
27481 |
33601 |
9679 |
9463 |
20983 |
1669 |
30091 |
3301 |
18121 |
31321 |
15739 |
11971 |
25033 |
6763 |
32971 |
13009 |
27241 |
25471 |
31 |
14593 |
16831 |
21319 |
33331 |
19183 |
229 |
12379 |
10093 |
30271 |
4519 |
25603 |
22621 |
34849 |
17791 |
103 |
17209 |
1033 |
34501 |
18523 |
5011 |
29209 |
8011 |
24373 |
20359 |
10711 |
15331 |
26701 |
571 |
34129 |
18043 |
34213 |
16189 |
2341 |
19753 |
619 |
32371 |
9421 |
17389 |
25933 |
34963 |
17581 |
199 |
7 |
31543 |
21193 |
24979 |
27751 |
13 |
32611 |
20023 |
109 |
18133 |
20899 |
13711 |
8863 |
11161 |
32719 |
17599 |
6961 |
28183 |
16633 |
18061 |
18049 |
34591 |
2083 |
16069 |
10531 |
22369 |
19843 |
4651 |
23671 |
24421 |
17029 |
1063 |
34651 |
19 |
29761 |
22963 |
33349 |
19213 |
181 |
30493 |
22111 |
139 |
19081 |
33619 |
43 |
|
Associated Center Square (6 x 6), 12 Semi Magic Sub Squares (3 x 3)
MC12b = 163812
25579 |
11551 |
3823 |
1063 |
17029 |
22861 |
4801 |
12241 |
23911 |
4651 |
9439 |
26863 |
811 |
22093 |
18049 |
16831 |
6133 |
17989 |
9421 |
14629 |
16903 |
12613 |
24181 |
4159 |
14563 |
7309 |
19081 |
23059 |
17791 |
103 |
26731 |
14083 |
139 |
23689 |
7333 |
9931 |
6691 |
9283 |
24979 |
27283 |
25849 |
7549 |
10093 |
11071 |
61 |
1021 |
17191 |
22741 |
7561 |
17659 |
15733 |
1051 |
421 |
26953 |
10009 |
20509 |
22963 |
12823 |
10069 |
18061 |
26701 |
14011 |
241 |
15331 |
13399 |
5023 |
19423 |
8089 |
20641 |
27109 |
13693 |
151 |
2341 |
14869 |
23743 |
6661 |
19213 |
7879 |
22279 |
13903 |
11971 |
10039 |
5503 |
25411 |
11719 |
12253 |
16981 |
4339 |
6793 |
17293 |
349 |
26881 |
26251 |
3853 |
21739 |
15361 |
26893 |
13831 |
229 |
27241 |
16231 |
17209 |
19753 |
1453 |
19 |
27061 |
13711 |
181 |
19543 |
17389 |
4021 |
1429 |
17911 |
21613 |
14251 |
5641 |
21061 |
9631 |
15583 |
15739 |
21379 |
3121 |
16453 |
17683 |
4129 |
19141 |
1231 |
20023 |
19699 |
10303 |
5479 |
25171 |
31 |
20443 |
20479 |
21841 |
18913 |
199 |
25471 |
15289 |
193 |
21019 |
19891 |
43 |
|
MC12b = 191532
31543 |
6571 |
9769 |
2113 |
17419 |
28351 |
7129 |
15583 |
25171 |
1723 |
14389 |
31771 |
5881 |
28309 |
13693 |
14449 |
14011 |
19423 |
9241 |
16069 |
22573 |
17749 |
29671 |
463 |
10459 |
13003 |
24421 |
31321 |
16453 |
109 |
31513 |
16231 |
139 |
28411 |
3823 |
15649 |
3361 |
16981 |
27541 |
31723 |
17293 |
8629 |
8089 |
5659 |
24373 |
5011 |
17839 |
25033 |
16831 |
11059 |
19993 |
1429 |
13399 |
27583 |
19543 |
11173 |
22639 |
14323 |
10861 |
22699 |
27691 |
19843 |
349 |
17989 |
15271 |
10333 |
18913 |
29131 |
4129 |
28549 |
19183 |
151 |
2341 |
18133 |
27409 |
27793 |
2791 |
13009 |
21589 |
16651 |
13933 |
3331 |
17659 |
26893 |
17791 |
9859 |
20233 |
9283 |
20749 |
12379 |
4339 |
18523 |
30493 |
12823 |
14251 |
20809 |
27751 |
19891 |
241 |
7549 |
26263 |
23833 |
23293 |
14629 |
199 |
31729 |
15973 |
181 |
21559 |
22093 |
4231 |
7591 |
11719 |
28573 |
10303 |
8011 |
29569 |
10531 |
19963 |
17389 |
26251 |
1609 |
20023 |
10891 |
17911 |
19081 |
7489 |
22273 |
18121 |
16633 |
859 |
30391 |
73 |
24181 |
23629 |
29401 |
18253 |
229 |
30091 |
17599 |
193 |
20719 |
27061 |
103 |
|
MC12b = 219252
34303 |
16981 |
3529 |
13693 |
6361 |
34759 |
7351 |
15733 |
31729 |
6793 |
14251 |
33769 |
1429 |
32191 |
21193 |
4651 |
30139 |
20023 |
13711 |
18061 |
23041 |
17749 |
33601 |
3463 |
19081 |
5641 |
30091 |
36469 |
18313 |
31 |
33751 |
21019 |
43 |
30271 |
6961 |
17581 |
17491 |
6199 |
31123 |
36343 |
22639 |
3391 |
6871 |
4483 |
35899 |
2341 |
17419 |
35053 |
1873 |
29401 |
23539 |
4243 |
9859 |
34513 |
28309 |
14449 |
18253 |
17191 |
17923 |
19699 |
35449 |
19213 |
151 |
29209 |
22543 |
1699 |
4423 |
36109 |
15643 |
35281 |
19471 |
61 |
13009 |
8971 |
32833 |
20899 |
433 |
32119 |
34843 |
13999 |
7333 |
16141 |
6301 |
32371 |
6271 |
26701 |
21841 |
18289 |
22093 |
8233 |
2029 |
26683 |
32299 |
3823 |
28621 |
22369 |
35533 |
19141 |
139 |
643 |
32059 |
29671 |
33151 |
13903 |
199 |
34849 |
19891 |
73 |
20641 |
22621 |
11551 |
16633 |
7309 |
30871 |
17683 |
5281 |
31849 |
8221 |
24979 |
21613 |
34159 |
421 |
20233 |
3919 |
27061 |
23833 |
4159 |
27793 |
22861 |
16831 |
4801 |
33181 |
13 |
31771 |
23029 |
34261 |
20443 |
109 |
32971 |
21739 |
103 |
29761 |
25033 |
19 |
|
MC12b = 249492
40153 |
17581 |
4639 |
21559 |
9421 |
31393 |
12541 |
11161 |
38671 |
7459 |
13711 |
41203 |
181 |
36781 |
25411 |
4021 |
27481 |
30871 |
10459 |
28351 |
23563 |
19183 |
37309 |
5881 |
22039 |
8011 |
32323 |
36793 |
25471 |
109 |
39373 |
22861 |
139 |
35731 |
11353 |
15289 |
23293 |
4231 |
34849 |
41521 |
35839 |
17749 |
9283 |
19471 |
883 |
15973 |
10891 |
35509 |
619 |
34513 |
27241 |
1153 |
4651 |
38923 |
17209 |
30091 |
32719 |
6271 |
29389 |
26713 |
38461 |
23629 |
283 |
11701 |
32611 |
2971 |
33151 |
23539 |
20773 |
40129 |
22093 |
151 |
7213 |
23911 |
31249 |
20809 |
18043 |
8431 |
38611 |
8971 |
29881 |
13999 |
13723 |
34651 |
15331 |
16189 |
30853 |
8863 |
11491 |
24373 |
2659 |
36931 |
40429 |
11173 |
23671 |
27529 |
39829 |
22273 |
271 |
40699 |
22111 |
32299 |
23833 |
5743 |
61 |
37201 |
24979 |
193 |
23059 |
30493 |
8821 |
13399 |
9463 |
39511 |
7549 |
20233 |
34591 |
13903 |
26731 |
21739 |
39241 |
1609 |
21523 |
7561 |
32191 |
22621 |
16831 |
17959 |
27583 |
20359 |
1483 |
40531 |
73 |
30271 |
32029 |
41413 |
20719 |
241 |
37993 |
24181 |
199 |
28111 |
34159 |
103 |
|
Concentric Center Square (6 x 6), 12 Semi Magic Sub Squares (3 x 3)
Embedded Associated Square (4 x 4)
MC12b = 110892
17191 |
4789 |
5743 |
8011 |
2029 |
17683 |
2551 |
9433 |
15739 |
5419 |
5011 |
17293 |
2239 |
13933 |
11551 |
1723 |
16231 |
9769 |
7591 |
8431 |
11701 |
6661 |
16831 |
4231 |
8293 |
9001 |
10429 |
17989 |
9463 |
271 |
17581 |
9859 |
283 |
15643 |
5881 |
6199 |
7309 |
6703 |
13711 |
18253 |
1093 |
3121 |
14323 |
18133 |
523 |
3391 |
9043 |
15289 |
5851 |
11779 |
10093 |
421 |
18289 |
13759 |
3853 |
1063 |
18061 |
7351 |
8539 |
11833 |
14563 |
9241 |
3919 |
571 |
823 |
4093 |
13999 |
18049 |
17911 |
16981 |
10141 |
601 |
8389 |
4003 |
15331 |
643 |
433 |
4483 |
14389 |
17659 |
17839 |
6691 |
7129 |
13903 |
2971 |
13681 |
11071 |
17599 |
17419 |
14629 |
4723 |
193 |
883 |
3541 |
11173 |
13009 |
16363 |
10039 |
1321 |
17959 |
17389 |
15361 |
4159 |
349 |
229 |
17491 |
9421 |
811 |
12253 |
11941 |
3529 |
5281 |
6553 |
15889 |
2269 |
10861 |
14593 |
7561 |
7549 |
12613 |
15271 |
1951 |
10501 |
4651 |
12541 |
10531 |
8821 |
6793 |
12109 |
6763 |
6091 |
14869 |
199 |
13831 |
13693 |
17791 |
8629 |
1303 |
16633 |
10069 |
1021 |
13399 |
14083 |
241 |
|
MC12b = 191532
31543 |
11551 |
4789 |
6949 |
10093 |
30841 |
7333 |
11161 |
29389 |
4933 |
11701 |
31249 |
3121 |
26701 |
18061 |
9421 |
21559 |
16903 |
9679 |
19891 |
18313 |
16069 |
27793 |
4021 |
13219 |
9631 |
25033 |
31513 |
16231 |
139 |
30871 |
16831 |
181 |
26881 |
8389 |
12613 |
8293 |
14011 |
25579 |
31849 |
1429 |
1453 |
28663 |
31771 |
601 |
1933 |
22039 |
23911 |
10459 |
15583 |
21841 |
193 |
31723 |
15289 |
7549 |
9283 |
31729 |
17839 |
6301 |
23743 |
29131 |
18289 |
463 |
4231 |
5659 |
11173 |
18913 |
28099 |
27691 |
28111 |
19543 |
229 |
15271 |
6763 |
25849 |
4339 |
3823 |
13009 |
20749 |
26263 |
27583 |
12379 |
8221 |
27283 |
2731 |
23539 |
21613 |
23833 |
22639 |
24373 |
16633 |
199 |
8089 |
7561 |
19963 |
20359 |
29881 |
17581 |
421 |
31321 |
30493 |
30469 |
3259 |
151 |
73 |
27943 |
19699 |
241 |
22369 |
19993 |
5521 |
17191 |
2341 |
28351 |
8629 |
11071 |
28183 |
11719 |
19471 |
16693 |
25411 |
4219 |
18253 |
1291 |
27409 |
19183 |
9241 |
19213 |
19429 |
16141 |
661 |
31081 |
103 |
23671 |
24109 |
29401 |
18133 |
349 |
30013 |
17599 |
271 |
20023 |
27751 |
109 |
|
MC12b = 219252
36343 |
7309 |
11161 |
17923 |
2131 |
34759 |
3361 |
18121 |
33331 |
6961 |
14251 |
33601 |
2731 |
36013 |
16069 |
1051 |
33769 |
19993 |
17293 |
16141 |
21379 |
17839 |
32971 |
4003 |
15739 |
11491 |
27583 |
35839 |
18913 |
61 |
34159 |
20551 |
103 |
30013 |
7591 |
17209 |
17191 |
6301 |
31321 |
36529 |
1093 |
1951 |
33151 |
36469 |
433 |
2551 |
17791 |
34471 |
2971 |
28549 |
23293 |
643 |
35731 |
26683 |
6451 |
4219 |
35899 |
16981 |
17599 |
20233 |
34651 |
19963 |
199 |
1033 |
2791 |
7879 |
28111 |
34303 |
35509 |
35281 |
19423 |
109 |
9001 |
14563 |
31249 |
3253 |
2239 |
8431 |
28663 |
33751 |
33289 |
1231 |
18049 |
35533 |
11551 |
19891 |
23371 |
32059 |
32323 |
30091 |
9859 |
811 |
4483 |
17989 |
17683 |
19141 |
34261 |
20359 |
193 |
36109 |
35449 |
34591 |
3391 |
73 |
13 |
35593 |
19081 |
139 |
21613 |
24979 |
8221 |
1723 |
25171 |
27919 |
2269 |
19471 |
33073 |
9343 |
23629 |
21841 |
33181 |
4801 |
16831 |
21319 |
6781 |
26713 |
17581 |
15643 |
21589 |
21559 |
313 |
32941 |
19 |
25033 |
29761 |
31771 |
22861 |
181 |
34963 |
19699 |
151 |
23911 |
30871 |
31 |
|
MC12b = 232860
37783 |
8599 |
11833 |
20983 |
6961 |
30271 |
7591 |
18061 |
32563 |
3331 |
17683 |
37201 |
6553 |
36793 |
14869 |
2731 |
27691 |
27793 |
11971 |
20773 |
25471 |
20233 |
36109 |
1873 |
13879 |
12823 |
31513 |
34501 |
23563 |
151 |
38653 |
19381 |
181 |
34651 |
4423 |
19141 |
4243 |
16633 |
37339 |
38749 |
241 |
1789 |
36781 |
38671 |
199 |
3373 |
25171 |
29671 |
15733 |
22039 |
20443 |
349 |
35839 |
25411 |
10501 |
5869 |
38461 |
18313 |
11551 |
28351 |
38239 |
19543 |
433 |
1879 |
5479 |
10891 |
25801 |
35449 |
36931 |
36529 |
21493 |
193 |
6133 |
19891 |
32191 |
5521 |
3361 |
13009 |
27919 |
33331 |
33289 |
9283 |
17209 |
31723 |
17029 |
15583 |
25603 |
31321 |
32941 |
28309 |
13399 |
2971 |
7489 |
10939 |
21013 |
26263 |
35053 |
22741 |
421 |
38611 |
38569 |
37021 |
2029 |
139 |
61 |
37993 |
19993 |
229 |
23059 |
26863 |
8293 |
9679 |
14323 |
34213 |
18049 |
3823 |
36343 |
9001 |
24181 |
25033 |
35083 |
103 |
23029 |
13003 |
21523 |
23689 |
2593 |
34033 |
21589 |
23911 |
1231 |
33073 |
73 |
31249 |
26893 |
35533 |
22369 |
313 |
37573 |
20359 |
283 |
25303 |
32803 |
109 |
|