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Office Applications and Entertainment, Magic Squares
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Attachment 14.4.1 page 1 |
About the Author
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Paired Prime Numbers and related Magic Constants:
| PairSum |
npair |
MC4 |
MC6 |
| 210 |
19 |
420 |
630 |
| 240 |
18 |
480 |
720 |
| 270 |
19 |
540 |
810 |
| 294 |
19 |
588 |
882 |
| 300 |
21 |
600 |
900 |
| 324 |
20 |
648 |
972 |
| 330 |
24 |
660 |
990 |
| 336 |
19 |
672 |
1008 |
| 354 |
20 |
708 |
1062 |
| 360 |
22 |
720 |
1080 |
| 366 |
18 |
732 |
1098 |
| 378 |
22 |
756 |
1134 |
| 384 |
19 |
768 |
1152 |
| 390 |
27 |
780 |
1170 |
| 396 |
21 |
792 |
1188 |
| 408 |
20 |
816 |
1224 |
| 414 |
21 |
828 |
1242 |
| 420 |
30 |
840 |
1260 |
| 450 |
27 |
900 |
1350 |
| 456 |
24 |
912 |
1368 |
| 474 |
23 |
948 |
1422 |
| 504 |
27 |
1008 |
1512 |
| 510 |
32 |
1020 |
1530 |
| 516 |
23 |
1032 |
1548 |
| 522 |
24 |
1044 |
1566 |
| 528 |
25 |
1056 |
1584 |
| 534 |
22 |
1068 |
1602 |
| 540 |
30 |
1080 |
1620 |
| 546 |
30 |
1092 |
1638 |
| 550 |
19 |
1100 |
1650 |
| 552 |
23 |
1104 |
1656 |
| 558 |
23 |
1116 |
1674 |
| 564 |
24 |
1128 |
1692 |
| 570 |
31 |
1140 |
1710 |
| 576 |
26 |
1152 |
1728 |
| 580 |
19 |
1160 |
1740 |
| 582 |
25 |
1164 |
1746 |
| 588 |
29 |
1176 |
1764 |
| 594 |
27 |
1188 |
1782 |
| 600 |
32 |
1200 |
1800 |
| 606 |
27 |
1212 |
1818 |
| 610 |
20 |
1220 |
1830 |
| 612 |
26 |
1224 |
1836 |
| 616 |
19 |
1232 |
1848 |
| 618 |
26 |
1236 |
1854 |
| 624 |
31 |
1248 |
1872 |
| 630 |
41 |
1260 |
1890 |
| 636 |
28 |
1272 |
1908 |
| 640 |
18 |
1280 |
1920 |
| 648 |
27 |
1296 |
1944 |
| 650 |
21 |
1300 |
1950 |
| 654 |
29 |
1308 |
1962 |
| 658 |
19 |
1316 |
1974 |
| 660 |
41 |
1320 |
1980 |
| 666 |
31 |
1332 |
1998 |
| 670 |
21 |
1340 |
2010 |
| 672 |
33 |
1344 |
2016 |
| 678 |
28 |
1356 |
2034 |
| 680 |
21 |
1360 |
2040 |
| 684 |
30 |
1368 |
2052 |
| 690 |
39 |
1380 |
2070 |
| 696 |
30 |
1392 |
2088 |
| 700 |
24 |
1400 |
2100 |
| 702 |
31 |
1404 |
2106 |
| 708 |
24 |
1416 |
2124 |
| 714 |
37 |
1428 |
2142 |
| 720 |
39 |
1440 |
2160 |
| 726 |
31 |
1452 |
2178 |
| 730 |
21 |
1460 |
2190 |
| 732 |
31 |
1464 |
2196 |
| 736 |
19 |
1472 |
2208 |
| 738 |
29 |
1476 |
2214 |
| 740 |
18 |
1480 |
2220 |
| 742 |
19 |
1484 |
2226 |
| 744 |
31 |
1488 |
2232 |
| 748 |
19 |
1496 |
2244 |
| 750 |
39 |
1500 |
2250 |
| 756 |
35 |
1512 |
2268 |
| 760 |
21 |
1520 |
2280 |
| 762 |
30 |
1524 |
2286 |
| 768 |
31 |
1536 |
2304 |
| 770 |
26 |
1540 |
2310 |
| 774 |
32 |
1548 |
2322 |
| 780 |
44 |
1560 |
2340 |
| 784 |
18 |
1568 |
2352 |
| 786 |
30 |
1572 |
2358 |
| 790 |
22 |
1580 |
2370 |
| 792 |
34 |
1584 |
2376 |
| 798 |
38 |
1596 |
2394 |
| 800 |
21 |
1600 |
2400 |
| 804 |
32 |
1608 |
2412 |
| 810 |
39 |
1620 |
2430 |
| 814 |
20 |
1628 |
2442 |
| 816 |
34 |
1632 |
2448 |
| 820 |
20 |
1640 |
2460 |
| 822 |
29 |
1644 |
2466 |
| 826 |
21 |
1652 |
2478 |
| 828 |
34 |
1656 |
2484 |
| 830 |
22 |
1660 |
2490 |
| 832 |
22 |
1664 |
2496 |
| 834 |
33 |
1668 |
2502 |
| 836 |
18 |
1672 |
2508 |
| 840 |
51 |
1680 |
2520 |
| 846 |
32 |
1692 |
2538 |
| 850 |
25 |
1700 |
2550 |
| 852 |
31 |
1704 |
2556 |
| 854 |
20 |
1708 |
2562 |
| 858 |
39 |
1716 |
2574 |
| 864 |
33 |
1728 |
2592 |
| 868 |
21 |
1736 |
2604 |
| 870 |
46 |
1740 |
2610 |
| 872 |
18 |
1744 |
2616 |
| 874 |
19 |
1748 |
2622 |
| 876 |
36 |
1752 |
2628 |
| 880 |
25 |
1760 |
2640 |
| 882 |
39 |
1764 |
2646 |
| 884 |
21 |
1768 |
2652 |
| 888 |
37 |
1776 |
2664 |
| 890 |
23 |
1780 |
2670 |
| 892 |
19 |
1784 |
2676 |
| 894 |
34 |
1788 |
2682 |
| 896 |
20 |
1792 |
2688 |
| 906 |
34 |
1812 |
2718 |
| 914 |
19 |
1828 |
2742 |
| 918 |
35 |
1836 |
2754 |
| 920 |
23 |
1840 |
2760 |
| 922 |
19 |
1844 |
2766 |
| 924 |
47 |
1848 |
2772 |
| 930 |
43 |
1860 |
2790 |
| 934 |
19 |
1868 |
2802 |
| 936 |
36 |
1872 |
2808 |
| 938 |
18 |
1876 |
2814 |
| 940 |
24 |
1880 |
2820 |
| 942 |
34 |
1884 |
2826 |
| 946 |
20 |
1892 |
2838 |
| 948 |
33 |
1896 |
2844 |
| 950 |
25 |
1900 |
2850 |
| 952 |
23 |
1904 |
2856 |
| 954 |
37 |
1908 |
2862 |
| 956 |
19 |
1912 |
2868 |
| 958 |
21 |
1916 |
2874 |
| 960 |
45 |
1920 |
2880 |
| 964 |
18 |
1928 |
2892 |
| 966 |
45 |
1932 |
2898 |
| 970 |
27 |
1940 |
2910 |
| 972 |
32 |
1944 |
2916 |
| 976 |
19 |
1952 |
2928 |
| 978 |
35 |
1956 |
2934 |
| 980 |
26 |
1960 |
2940 |
| 984 |
39 |
1968 |
2952 |
| 986 |
20 |
1972 |
2958 |
| 988 |
23 |
1976 |
2964 |
| 990 |
52 |
1980 |
2970 |
| 994 |
25 |
1988 |
2982 |
| 996 |
37 |
1992 |
2988 |
| 1000 |
28 |
2000 |
3000 |
| 1002 |
36 |
2004 |
3006 |
| 1004 |
18 |
2008 |
3012 |
| 1008 |
42 |
2016 |
3024 |
| 1010 |
25 |
2020 |
3030 |
| 1012 |
23 |
2024 |
3036 |
| 1014 |
39 |
2028 |
3042 |
| 1020 |
51 |
2040 |
3060 |
| 1024 |
20 |
2048 |
3072 |
| 1026 |
40 |
2052 |
3078 |
| 1030 |
24 |
2060 |
3090 |
| 1032 |
34 |
2064 |
3096 |
| 1034 |
19 |
2068 |
3102 |
| 1036 |
24 |
2072 |
3108 |
| 1038 |
36 |
2076 |
3114 |
| 1040 |
24 |
2080 |
3120 |
| 1044 |
35 |
2088 |
3132 |
| 1050 |
52 |
2100 |
3150 |
| 1054 |
21 |
2108 |
3162 |
| 1056 |
39 |
2112 |
3168 |
| 1060 |
24 |
2120 |
3180 |
| 1062 |
30 |
2124 |
3186 |
| 1064 |
20 |
2128 |
3192 |
| 1066 |
20 |
2132 |
3198 |
| 1068 |
32 |
2136 |
3204 |
| 1070 |
21 |
2140 |
3210 |
| 1074 |
33 |
2148 |
3222 |
| 1078 |
23 |
2156 |
3234 |
| 1080 |
45 |
2160 |
3240 |
| 1084 |
19 |
2168 |
3252 |
| 1086 |
33 |
2172 |
3258 |
| 1090 |
21 |
2180 |
3270 |
| 1092 |
37 |
2184 |
3276 |
| 1098 |
31 |
2196 |
3294 |
| 1100 |
20 |
2200 |
3300 |
| 1102 |
18 |
2204 |
3306 |
| 1104 |
34 |
2208 |
3312 |
| 1108 |
19 |
2216 |
3324 |
| 1110 |
42 |
2220 |
3330 |
| 1116 |
31 |
2232 |
3348 |
| 1120 |
25 |
2240 |
3360 |
| 1122 |
33 |
2244 |
3366 |
| 1134 |
35 |
2268 |
3402 |
| 1144 |
19 |
2288 |
3432 |
| 1146 |
26 |
2292 |
3438 |
| 1148 |
19 |
2296 |
3444 |
| 1150 |
20 |
2300 |
3450 |
| 1152 |
25 |
2304 |
3456 |
| 1158 |
28 |
2316 |
3474 |
| 1160 |
19 |
2320 |
3480 |
| 1164 |
31 |
2328 |
3492 |
| 1170 |
39 |
2340 |
3510 |
| 1176 |
33 |
2352 |
3528 |
| 1182 |
26 |
2364 |
3546 |
| 1188 |
29 |
2376 |
3564 |
| 1190 |
21 |
2380 |
3570 |
| 1194 |
31 |
2388 |
3582 |
| 1200 |
33 |
2400 |
3600 |
| 1204 |
18 |
2408 |
3612 |
| 1206 |
28 |
2412 |
3618 |
| 1210 |
21 |
2420 |
3630 |
| 1212 |
24 |
2424 |
3636 |
| 1218 |
32 |
2436 |
3654 |
| 1224 |
26 |
2448 |
3672 |
| 1230 |
33 |
2460 |
3690 |
| 1236 |
26 |
2472 |
3708 |
| 1240 |
21 |
2480 |
3720 |
| 1248 |
28 |
2496 |
3744 |
| 1254 |
28 |
2508 |
3762 |
| 1260 |
38 |
2520 |
3780 |
| 1266 |
23 |
2532 |
3798 |
| 1272 |
21 |
2544 |
3816 |
| 1278 |
27 |
2556 |
3834 |
| 1284 |
25 |
2568 |
3852 |
| 1290 |
29 |
2580 |
3870 |
| 1296 |
25 |
2592 |
3888 |
| 1302 |
22 |
2604 |
3906 |
| 1308 |
24 |
2616 |
3924 |
| 1320 |
33 |
2640 |
3960 |
| 1330 |
20 |
2660 |
3990 |
| 1338 |
20 |
2676 |
4014 |
| 1344 |
25 |
2688 |
4032 |
| 1350 |
30 |
2700 |
4050 |
| 1368 |
22 |
2736 |
4104 |
| 1374 |
21 |
2748 |
4122 |
| 1386 |
26 |
2772 |
4158 |
| 1404 |
19 |
2808 |
4212 |
| 1410 |
26 |
2820 |
4230 |
| 1428 |
24 |
2856 |
4284 |
| 1440 |
22 |
2880 |
4320 |
| 1470 |
26 |
2940 |
4410 |
| 1500 |
22 |
3000 |
4500 |
| 1530 |
20 |
3060 |
4590 |
| 1554 |
20 |
3108 |
4662 |
| 1584 |
18 |
3168 |
4752 |