Order and Constant

In the below table there's the magic constants for any order for sequence of consecutive prime numbers magic squares. A magic constant without a link means that I have not yet found a square of that order (or demonstrate that it can't exists). Follow the links to see the magic squares of that order and constant.

 Order Magic Constant 3 4 124 204 240 258 276 328 348 468 510 5 313 577 703 6 484 744 806 868 930 7 797 1077 8 2016 9 2211 2261 2311 2463 2725 10 2862 3092 3500 11 4507 4845 12 6188 13 6325 7125 7449 14 9660 15 12669 16 13016 17 16857 18 19530 19 23069 20 28184 21 38761 22 46302 23 42515 24 49846 25 59087 26 70260 27 73385 28 78960 79608 29 97267 30 98316 102086 31 111023 111761 32 124454 33 134641 137035 139171 34 152952 35 163043 168199 36 180596 181486 182080 37 195975 38 218432 39 237623 40 293182 41 276243 280109 281167 42 298868 43 328957 44 375504 45 372165 46 429614 47 431917 48 472418 49 523341 50 555320 51 613837 52 688404 53 640571 54 679584 55 720739 56 761542 57 863609 58 862750 59 932257 60 983426 61 1009425 62 1109864 63 1137781 64 1274312 65 1296521 66 1344372 67 1371759 68 1471104 69 1507575 70 1623748 71 1737665 72 1888374 73 1974855 74 1981884 75 2027439 76 2168860 77 2208973 78 2270562 79 2363245 80 2519860 81 2576281 82 2701394 83 2774491 84 2970880 85 2969589 86 3120030 87 3487533 88 3472294 89 3575657 90 3551722 91 3674603 92 3798666 3804356 93 4003801 94 4130976 95 4207781 96 4899740 97 4536209 98 4674536 99 5005429 100 5064634 101 5141345 ... 118 8467046 129 11269985 130 11544010 131 11837081 138 13983894 144 16036654 147 17136689 148 17514360 149 17890747 150 18274476 151 18651841 152 19066090 178 31578328 187 36971337 191 39552623 204 48795474 213 56005545 215 57689237 222 63917480 225 66684561 232 73532440 238 79796540 254 98119026

 Magic Square Tognon Stefano Research