Multimagic Series Examples Order 4 Trimagic 15, 9, 8, 2 Order 5 Trimagic 24, 16, 13, 10, 2 Order 6 Bimagic 36, 29, 16, 12, 10, 8 Order 7 Bimagic 49, 45, 20, 18, 16, 15, 12 Order 8 Trimagic 64, 51, 38, 33, 32, 27, 14, 1 Order 9 Trimagic 80, 66, 58, 46, 41, 36, 24, 16, 2 Order 10 Bimagic 100, 99, 82, 41, 35, 33, 31, 29, 28, 27 Order 11 Trimagic 121, 115, 74, 65, 64, 61, 58, 57, 48, 7, 1 Order 12 Pentamagic 143, 116, 109, 108, 100, 85, 60, 45, 37, 36, 29, 2 Order 13 Pentamagic 166, 147, 131, 123, 119, 107, 76, 60, 59, 57, 38, 13, 9 Order 14 Bimagic 166, 165, 164, 163, 162, 161, 67, 55, 49, 48, 47, 45, 44, 43 Order 15 Trimagic 225, 224, 195, 118, 117, 116, 114, 113, 112, 110, 109, 108, 31, 2, 1 Order 16 Pentamagic 254, 223, 209, 203, 201, 159, 152, 144, 113, 105, 98, 56, 54, 48, 34, 3 Order 17 Trimagic 289, 288, 278, 161, 149, 148, 147, 146, 145, 144, 143, 142, 141, 129, 12, 2, 1 Order 18 Bimagic 251, 250, 249, 248, 247, 246, 245, 244, 243, 238, 63, 61, 60, 59, 57, 56, 55, 53 Order 19 Tetramagic 316, 315, 314, 313, 311, 309, 230, 206, 173, 146 142, 131, 126, 116, 110, 107, 64, 8, 2 Order 20 Pentamagic 400, 383, 311, 302, 294, 287, 281, 276, 274, 263, 138, 127, 125, 120, 114, 107, 99, 90, 18, 1 Order 21 Pentamagic 437, 429, 346, 336, 332, 331, 321, 302, 298, 288, 221, 154, 144, 140, 121, 111, 110, 106, 96, 13, 5 Order 22 Bimagic 362, 361, 360, 359, 358, 357, 356, 355, 354, 353, 352, 351, 350, 211, 72, 66, 63, 62, 60, 59, 58, 56 Order 23 Tetramagic 514, 499, 459, 454, 439, 427, 379, 319, 314, 307, 283, 274 259, 223, 211, 199, 139, 124, 94, 64, 49, 34, 31 Order 24 Pentamagic 576, 569, 467, 453, 435, 425, 414, 411, 404, 397, 394, 355, 222, 183, 180, 173, 166, 163, 152, 142, 124, 110, 8, 1 Order 25 Tetramagic 559, 558, 556, 554, 551, 544, 524, 433, 409, 341, 337, 313, 304, 277, 253, 229, 217, 196, 181, 157, 153, 109, 49, 12, 9 Order 26 Bimagic 486, 485, 484, 483, 482, 481, 480, 479, 478, 477, 476, 475, 474, 473, 472, 471, 470, 248, 68, 57, 54, 52, 51, 50, 49, 46 Order 27 Pentamagic 729, 720, 605, 601, 575, 573, 553, 549, 545, 505, 473, 430, 405, 365, 325, 300, 257, 225, 185, 181, 177, 157, 155, 129, 125, 10, 1 Order 28 Pentamagic 710, 709, 708, 707, 706, 704, 679, 523, 476, 471, 466, 444, 426, 423, 362, 359, 341, 319, 314, 309, 262, 106, 81, 79, 78, 77, 76, 75 Order 29 Pentamagic 799, 798, 797, 795, 658, 628, 622, 604, 592, 578, 574, 570, 547, 430, 421, 412, 295, 272, 268, 264, 250, 238, 220, 214, 184, 47, 45, 44, 43 Order 30 Bimagic 640, 639, 638, 637, 636, 635, 634, 633, 632, 631, 630, 629, 628, 627, 626, 625, 624, 623, 622, 621, 359, 73, 63, 62, 61, 60, 59, 57, 56, 55 Order 31 Trimagic 961, 960, 959, 958, 957, 704, 501, 492, 490, 489, 486, 485, 484, 483, 482, 481 480, 479, 478, 477, 476, 473, 472, 470, 461, 258, 5, 4, 3, 2, 1 Order 32 Pentamagic 931, 930, 929, 928, 927, 926, 924, 826, 697, 643, 628, 612, 607, 598, 552, 517 508, 473, 427, 418, 413, 397, 382, 328, 199, 101, 99, 98, 97, 96, 95, 94 Order 33 Trimagic 1089, 1088, 1087, 1086, 1085, 946, 570, 557, 555, 552, 551, 550, 549, 548, 547, 546, 545, 540, 541, 542, 541, 540, 539, 538, 535, 533, 520, 144, 5, 4, 3, 2, 1 Order 34 Bimagic 796, 795, 794, 793, 792, 791, 790, 789, 788, 787, 786, 785, 784, 783, 782, 781, 780, 779, 778, 777, 776, 775, 774, 773, 622, 50, 29, 24, 23, 22, 20, 18, 17, 16 Order 35 Trimagic 1225, 1224, 1223, 1222, 1221, 1185, 627, 625, 624, 623, 621, 619, 618, 617, 616, 615, 614, 613, 612, 611, 610, 609, 608, 607, 605, 603, 602, 601, 599, 41, 5, 4, 3, 2, 1 Order 36 Trimagic 1296, 1295, 1294, 1293, 1292, 1291, 799, 665, 658, 657, 656, 655, 654, 653, 652, 651, 650, 649, 648, 647, 646, 645, 644, 643, 642, 641, 640, 639, 632, 498, 6, 5, 4, 3, 2, 1 Order 37 Trimagic 1369, 1368, 1367, 1366, 1365, 1364, 1004, 706, 696, 695, 694, 693, 691, 690, 689, 688, 687, 686, 685, 684, 683, 682, 681, 680, 679, 677, 676, 675, 674, 664, 366, 6, 5, 4, 3, 2, 1 Order 38 Bimagic 994, 993, 992, 991, 990, 989, 988, 987, 986, 985, 984, 983, 982, 981, 980, 979, 978, 977, 976, 975, 974, 973, 972, 971, 970, 969, 968, 666, 60, 34, 30, 29, 28, 27, 25, 24, 23, 22 Order 39 Trimagic 1521, 1520, 1519, 1518, 1517, 1516, 1322, 793, 775, 773, 772, 771, 769, 768, 767, 765, 764, 763, 762, 761, 760, 759, 758, 757, 755, 754, 753, 751, 750, 749, 747, 729, 200, 6, 5, 4, 3, 2, 1 Order 40 Pentamagic 1431, 1430, 1429, 1428, 1427, 1426, 1424, 1423, 1421, 1420, 1374, 891, 867, 864, 860, 859, 838, 828, 825, 804, 797, 776, 773, 763, 742, 741, 737, 734, 710, 227, 181, 180, 178, 177, 175, 174, 173, 172, 171, 170 Order 41 Trimagic 1681, 1680, 1679, 1678, 1677, 1676, 1627, 859, 855, 853, 852, 851, 849, 848, 847, 846, 845, 844, 843, 842, 841, 840, 839, 838, 837, 836, 835, 834, 833, 831, 830, 829, 827, 823, 55, 6, 5, 4, 3, 2, 1 Order 42 Bimagic 1204, 1203, 1202, 1201, 1200, 1199, 1198, 1197, 1196, 1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187, 1186, 1185, 1184, 1183, 1182, 1181, 1180, 1179, 1178, 1177, 1176, 1175, 1068, 66, 34, 29, 28, 26, 25, 23, 22, 21, 20, 18 Order 43 Trimagic 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1357, 944, 937, 936, 935, 934, 933, 932, 931, 930, 929, 928, 927, 926, 925, 924, 923, 922, 921, 920, 919, 918, 917, 916, 915, 914, 913, 906, 493, 7, 6, 5, 4, 3, 2, 1 Order 44 Trimagic 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1567, 991, 984, 982, 981, 979, 978, 976, 975, 974, 973, 972, 971, 970, 969, 968, 967, 966, 965, 964, 963, 962, 961, 959, 958, 956, 955, 953, 946, 370, 7, 6, 5, 4, 3, 2, 1