・神業 GAI 氏
魔方陣を構成するとき、使用する数を連続する自然数や等差数列になるもので作るのは、
何かしら法則的なものがあっても不思議ではない気もする。
ところが、ここに正体が掴み難い代表と思える素数に対し、3〜9941までに1225個(=352)
の素数があるが(2を除外する)、これらをもれなく使って、次の35個の行ベクトルで35×35
のマトリックスを作ることで驚くべき世界が出現する。
これを構成した人は、神業としか思えない。
G01=[4373,4751,5009,5051,5657,5981,6299,6637,6959,7297,7949,7621,8293,8669,8999,9941,9391,9661,173,5,2549,389,631,1229,1427,1613,1979,2267,661,2819,3163,3461,3733,4049,4357]
G02=[3797,4391,4703,5011,5381,5659,6079,6301,6653,8663,7607,7307,7951,8731,6709,9041,9319,9631,9649,7,11,397,881,877,1129,1429,1669,1987,2269,2551,2833,3167,3463,3739,4051]
G03=[4093,4079,4397,4721,5387,5023,5669,6007,6011,7309,6659,6967,7639,7963,8353,8969,8677,9323,9643,9629,179,401,181,641,883,1151,1433,1597,1993,2273,2557,2837,3169,3469,3761]
G04=[3767,4003,4073,4409,4723,5021,5101,5683,6311,6317,6661,6971,7321,7643,8387,7993,9067,9001,9007,9343,9677,193,13,191,643,887,1153,1439,1697,1997,2281,2579,2843,3181,3467]
G05=[3793,6101,3769,4057,4421,6029,4729,5039,5689,5399,6367,6719,6977,7331,7649,8009,8329,8689,9337,9341,4507,9371,17,1033,419,409,907,421,3571,1699,1999,2287,2591,2851,3187]
G06=[3257,3499,3019,4363,4099,4423,4733,5351,5407,5623,6053,6247,6679,6983,7333,7669,8011,8311,8693,8389,9679,9029,9689,19,197,647,653,911,1171,1451,1709,2003,2293,2593,2857]
G07=[3511,2861,3203,3527,3803,4111,4441,4691,5059,5413,5701,8017,6337,6689,6991,7349,7673,8699,8363,6043,9013,8971,9377,9697,23,199,431,659,919,1181,1453,1721,2011,2297,2609]
G08=[2617,2879,3209,3517,3529,3821,4127,4447,4759,5077,5417,5711,6047,6343,6691,6997,7351,7681,8369,8039,8707,8719,9043,9311,9719,29,211,433,619,929,1187,1459,1723,2017,2309]
G09=[2311,2621,2887,3217,3229,3533,3823,4129,4451,4783,5419,5081,5717,6037,6353,6701,7001,7369,7687,8053,8737,8713,8297,9049,9397,9721,31,223,439,673,937,1193,1471,1733,2027]
G10=[37,2333,2633,2897,3221,3251,3539,3833,4133,4457,5227,5087,5431,5737,6067,6361,6703,7013,7393,7691,8059,8317,8419,8269,9059,9403,9733,2029,227,443,677,941,1201,1481,1741]
G11=[1747,2039,2339,2647,2903,2917,3253,3637,3847,3541,4463,5437,5099,4789,6073,5741,6359,6961,7019,7411,7699,8069,9011,8681,8741,8423,9413,9739,41,229,449,683,947,1213,1483]
G12=[1487,1753,2053,2341,2657,2909,2927,3191,3547,3851,4153,4481,4793,5393,5441,5987,5743,6323,6673,7027,8081,7417,7703,8089,8429,8747,9091,9419,9743,43,233,457,691,953,1217]
G13=[1447,1499,1759,2063,2347,2659,2671,3557,3259,2939,3853,4157,4483,4799,5749,5119,5443,6089,6397,6733,7039,7433,7717,8087,8093,8431,8753,9103,9421,9749,47,239,241,701,967]
G14=[971,1123,1777,1493,2069,2351,3049,2663,2953,2677,3559,3863,4159,4493,5167,4801,5449,5779,6737,6091,6379,7043,7451,7723,7741,8101,8443,8761,9293,9431,9767,53,461,463,709]
G15=[1231,719,977,1489,1783,2081,2357,3299,2683,2377,2957,1223,3877,4177,9349,4813,5107,3491,5471,5783,6389,7057,6761,7457,7727,7559,8111,8447,8779,9533,9433,9769,59,251,467]
G16=[479,727,983,1511,1237,1787,2083,2371,2381,2687,2963,3881,3581,3301,4201,4513,4817,5147,5557,5791,6113,6373,7069,6763,7459,7481,7757,8117,8461,8783,9133,9437,9781,61,257]
G17=[263,733,487,991,1249,1523,1789,2087,2099,2383,2689,2969,3307,3583,3889,4211,4517,4831,5153,5479,5801,6421,6121,6781,7079,7477,7487,7759,8123,8467,8803,9199,9439,9787,67]
G18=[71,271,491,739,997,1259,1531,1801,2089,2111,2389,2693,2971,3593,3313,3907,4217,4639,4861,5113,5483,5807,6131,6427,6779,7103,7121,7789,7489,8147,8501,8807,9151,9461,9791]
G19=[9803,73,269,499,743,1009,1277,1543,1811,1831,2113,2393,2699,2999,3319,3607,3911,4219,4523,4871,5171,5501,6133,5813,6449,6823,7109,7127,7499,7793,8161,8513,8819,9157,9463]
G20=[9467,9811,79,277,503,751,1013,1279,1549,1823,1847,2719,2399,2707,3001,3323,3701,3917,4229,3967,4877,5179,5821,5503,6143,6451,6793,6791,7129,7507,7817,8167,8521,8821,9161]
G21=[9473,9173,9817,83,281,509,757,1019,1283,1553,1567,1861,2207,2411,2711,3011,3329,4231,3617,3919,4549,4889,6151,5189,5827,5507,6469,6827,6803,7151,7517,7823,8171,8527,8831]
G22=[8837,9181,9479,9829,89,283,521,761,1021,1289,1571,1559,1867,2137,2417,2713,3779,3623,3331,3923,4241,4561,4903,5197,4909,5839,6163,6473,6491,6829,7159,7523,7829,8179,8537]
G23=[8539,8839,9187,9491,9833,97,523,293,769,1031,1291,1301,1579,1871,2141,2423,2129,3343,3023,3631,4001,4243,4567,5519,5209,6173,5843,5581,6481,6521,6833,7177,7529,7841,8191]
G24=[8209,8543,8849,9137,9497,9839,101,307,541,773,1163,1297,1303,1583,1873,2143,2437,3037,2729,3347,4253,4139,3931,4583,4919,4787,5527,5849,6197,6203,6529,6841,7187,7537,7853]
G25=[7867,8219,8563,8861,9203,9511,9851,103,311,547,787,1039,1051,1307,1693,1877,2153,2441,2731,3041,3359,3943,3643,4259,4591,4931,5231,5531,5851,6199,6211,6547,6857,7193,7541]
G26=[7547,7873,8221,8573,9209,8863,9521,9857,107,313,557,797,1049,1093,1319,1601,1879,2161,2447,2741,3271,3361,3673,3947,4261,4597,4933,5233,5477,5857,5867,6217,6551,6863,7207]
G27=[7211,7549,7877,8231,8581,8867,9221,9127,9859,317,109,563,809,821,1063,1321,1607,1889,2179,2459,3061,2749,3371,3671,4547,4271,4603,4937,5237,5563,5861,5869,6221,6553,6869]
G28=[6871,7213,7753,7879,8597,8233,8887,9227,9539,9871,113,331,569,811,823,1069,1327,1609,1951,2203,2467,2753,3067,3373,3659,3989,4273,4621,4943,5261,5569,5521,5879,6229,6563]
G29=[6569,6883,7219,7561,8237,7883,8599,8893,9239,9547,9883,127,337,587,571,827,1087,1361,1667,1907,2131,2473,2767,3119,3389,3677,3929,4283,4951,4637,5273,5573,5647,5881,6329]
G30=[6571,6257,7573,6899,7229,7901,8609,8243,8923,9551,9241,9887,131,347,577,593,1091,829,1367,1619,2213,1913,2477,2777,3083,3391,3691,4327,4091,4519,4957,5279,5297,5693,5897]
G31=[5903,1373,6907,6577,7237,7577,7907,8263,8623,9257,8929,9587,9901,349,137,359,599,839,1061,6263,1621,2221,1931,2503,2789,3089,3407,3697,4007,4297,4643,4967,5281,5303,5639]
G32=[5923,5641,6269,6581,6911,7243,7583,7919,8377,8627,8933,9277,9601,9907,139,353,601,367,853,1097,1381,1627,1933,2237,2521,2413,3109,2791,3613,4013,4289,4649,4969,4987,5309]
G33=[5323,5591,5927,6917,6271,6599,7247,7589,7927,8273,8629,8941,9281,9613,9923,149,157,373,607,857,1103,1399,1637,1949,2239,3079,2797,2531,3433,3709,4019,4337,4651,4973,4993]
G34=[4999,5333,5939,5651,6277,7253,6607,6947,7591,7933,8287,8641,8951,9283,9619,9929,151,163,379,613,859,1109,1409,1657,1901,2243,2539,2801,3121,3449,3719,4021,4339,4657,4673]
G35=[4679,9109,5347,5953,5653,6287,6619,6949,7283,7603,7937,8291,8647,8963,5003,9623,9931,3,167,617,383,863,1117,1423,1663,1973,2251,2543,2803,3137,3457,3727,4027,4349,4663]