The 16th-order trimagic square
By Su Maoting in china
|
6 |
397 |
73 |
277 |
94 |
247 |
724 |
656 |
163 |
95 |
638 |
791 |
600 |
804 |
414 |
805 |
|
10 |
401 |
77 |
281 |
90 |
243 |
720 |
652 |
159 |
91 |
634 |
787 |
604 |
808 |
418 |
809 |
|
421 |
812 |
606 |
810 |
631 |
784 |
157 |
89 |
718 |
650 |
87 |
240 |
79 |
283 |
13 |
404 |
|
412 |
803 |
597 |
801 |
640 |
793 |
166 |
98 |
727 |
659 |
96 |
249 |
70 |
274 |
4 |
395 |
|
833 |
442 |
768 |
564 |
763 |
610 |
131 |
199 |
692 |
760 |
219 |
66 |
241 |
37 |
425 |
34 |
|
845 |
454 |
780 |
576 |
751 |
598 |
119 |
187 |
680 |
748 |
207 |
54 |
253 |
49 |
437 |
46 |
|
392 |
1 |
263 |
59 |
252 |
99 |
670 |
738 |
109 |
177 |
796 |
643 |
790 |
586 |
800 |
409 |
|
415 |
24 |
286 |
82 |
229 |
76 |
647 |
715 |
86 |
154 |
773 |
620 |
813 |
609 |
823 |
432 |
|
416 |
25 |
239 |
35 |
228 |
75 |
694 |
762 |
133 |
201 |
772 |
619 |
766 |
562 |
824 |
433 |
|
439 |
48 |
262 |
58 |
205 |
52 |
671 |
739 |
110 |
178 |
749 |
596 |
789 |
585 |
847 |
456 |
|
802 |
411 |
799 |
595 |
794 |
641 |
100 |
168 |
661 |
729 |
250 |
97 |
272 |
68 |
394 |
3 |
|
814 |
423 |
811 |
607 |
782 |
629 |
88 |
156 |
649 |
717 |
238 |
85 |
284 |
80 |
406 |
15 |
|
453 |
844 |
574 |
778 |
599 |
752 |
189 |
121 |
750 |
682 |
55 |
208 |
47 |
251 |
45 |
436 |
|
444 |
835 |
565 |
769 |
608 |
761 |
198 |
130 |
759 |
691 |
64 |
217 |
38 |
242 |
36 |
427 |
|
39 |
430 |
40 |
244 |
61 |
214 |
757 |
689 |
196 |
128 |
605 |
758 |
567 |
771 |
447 |
838 |
|
43 |
434 |
44 |
248 |
57 |
210 |
753 |
685 |
192 |
124 |
601 |
754 |
571 |
775 |
451 |
842 |
property:
1、16*16;
2、16×16=256 number(Min=1,Max=847);
3、 C1= 6784;
4、 C2= 4 158 216;
5、 C3= 2 850 049 984;
7.that sum is same of 4 power in i row (column) and 17-i row(column),(1≤i≤8),that basic number is:
1,24,25,48;3,15,34,46;4,13,36,45;6,10,39,43.Time number 17.