:::Magic Square::: |
 |
 Looking for
her for million times
Congratulations
16th trimagic
square
24th trimagic square
40/48th trimagic square
11th bimagic
square
World Record
What's a multimagic square?
Multimagic
formulas
Magic Series
Enumeration
of magic squares
Bimagic
8
Bimagic
Square, 9th-order
Trimagic 12
Links to Similar Web Sites
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The
following text is written by Christian Boyer and is coming from his web site
www.multimagie.com/indexengl.htm
,
Thanks for his authorization to use his text.
Solution of the first bimagic square,
9th-order, of Pfeffermann
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|
22 |
3 |
81 |
42 |
34 |
47 |
17 |
59 |
64 |
369 |
|
|
37 |
54 |
15 |
71 |
76 |
57 |
32 |
20 |
7 |
369 |
|
|
33 |
38 |
8 |
55 |
72 |
77 |
52 |
13 |
21 |
369 |
|
|
68 |
73 |
43 |
12 |
26 |
4 |
63 |
51 |
29 |
369 |
|
|
2 |
16 |
58 |
46 |
41 |
36 |
24 |
66 |
80 |
369 |
|
|
53 |
31 |
19 |
78 |
56 |
70 |
39 |
9 |
14 |
369 |
|
|
61 |
69 |
30 |
5 |
10 |
27 |
74 |
44 |
49 |
369 |
|
|
75 |
62 |
50 |
25 |
6 |
11 |
67 |
28 |
45 |
369 |
|
|
18 |
23 |
65 |
35 |
48 |
40 |
1 |
79 |
60 |
369 |
|
369 |
369 |
369 |
369 |
369 |
369 |
369 |
369 |
369 |
369 |
369 |
|
|
484 |
9 |
6561 |
1764 |
1156 |
2209 |
289 |
3481 |
4096 |
20049 |
|
|
1369 |
2916 |
225 |
5041 |
5776 |
3249 |
1024 |
400 |
49 |
20049 |
|
|
1089 |
1444 |
64 |
3025 |
5184 |
5929 |
2704 |
169 |
441 |
20049 |
|
|
4624 |
5329 |
1849 |
144 |
676 |
16 |
3969 |
2601 |
841 |
20049 |
|
|
4 |
256 |
3364 |
2116 |
1681 |
1296 |
576 |
4356 |
6400 |
20049 |
|
|
2809 |
961 |
361 |
6084 |
3136 |
4900 |
1521 |
81 |
196 |
20049 |
|
|
3721 |
4761 |
900 |
25 |
100 |
729 |
5476 |
1936 |
2401 |
20049 |
|
|
5625 |
3844 |
2500 |
625 |
36 |
121 |
4489 |
784 |
2025 |
20049 |
|
|
324 |
529 |
4225 |
1225 |
2304 |
1600 |
1 |
6241 |
3600 |
20049 |
|
20049 |
20049 |
20049 |
20049 |
20049 |
20049 |
20049 |
20049 |
20049 |
20049 |
20049 |
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|
10648 |
27 |
531441 |
74088 |
39304 |
103823 |
4913 |
205379 |
262144 |
1231767 |
|
|
50653 |
157464 |
3375 |
357911 |
438976 |
185193 |
32768 |
8000 |
343 |
1234683 |
|
|
35937 |
54872 |
512 |
166375 |
373248 |
456533 |
140608 |
2197 |
9261 |
1239543 |
|
|
314432 |
389017 |
79507 |
1728 |
17576 |
64 |
250047 |
132651 |
24389 |
1209411 |
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|
8 |
4096 |
195112 |
97336 |
68921 |
46656 |
13824 |
287496 |
512000 |
1225449 |
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|
148877 |
29791 |
6859 |
474552 |
175616 |
343000 |
59319 |
729 |
2744 |
1241487 |
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|
226981 |
328509 |
27000 |
125 |
1000 |
19683 |
405224 |
85184 |
117649 |
1211355 |
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|
421875 |
238328 |
125000 |
15625 |
216 |
1331 |
300763 |
21952 |
91125 |
1216215 |
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|
5832 |
12167 |
274625 |
42875 |
110592 |
64000 |
1 |
493039 |
216000 |
1219131 |
|
1225449 |
1215243 |
1214271 |
1243431 |
1230615 |
1225449 |
1220283 |
1207467 |
1236627 |
1235655 |
1225449 |
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