Millennium Square

This square, with a magic sum of 2000, was designed with a dual purpose in mind, to accommodate those who celebrate the year 2000 as the end of the 20th century, and for those who regard it as the beginning of the 21st century.

00	234	16	138	112	154	96	73	177	89	161	57	193	41	209	250
248	18	232	114	136	98	152	179	71	163	87	195	55	211	39	02
01	233	17	137	118	153	97	72	178	88	162	56	194	40	210	249
246	20	230	116	134	100	150	181	69	165	85	197	53	213	37	04
03	231	19	135	115	151	99	70	180	86	164	54	196	38	212	247
244	22	228	118	132	102	148	183	67	167	83	199	51	215	35	06
05	229	21	133	117	149	101	68	182	84	166	52	198	36	214	245
242	24	226	120	130	104	146	185	65	169	81	201	49	217	33	08
07	227	23	131	119	147	103	66	184	82	168	50	200	34	216	243
241	25	225	121	129	105	145	186	64	170	80	202	48	218	32	09
10	224	26	128	122	144	106	63	187	79	171	47	203	31	219	240
239	27	223	123	127	107	143	188	62	172	78	204	46	220	30	11
12	222	28	126	124	142	108	61	189	77	173	45	205	29	221	238
253	13	237	109	141	93	157	174	76	158	92	190	60	206	44	-03
-02	236	14	140	110	156	94	75	175	91	159	59	191	43	207	252
251	15	235	111	139	95	155	176	74	160	90	192	58	208	42	-01

Edward W. Shineman, Jr. designed this magic square
to commemorate the start of the new century (and millennium):

• It is an order 16 pandiagonal using numbers -3 to 253 with one number not used. (Can you find the missing number?)
• Each row, column and diagonal, including the broken diagonal pairs, sum to 2000.
• In addition, the three groups of sixteen numbers (the zeros) each sum to 2000.
• The large two, which contains 32 numbers, sums to 4000 ( the magic sum x2)
• The double zero shown in the top left cell represents the new year

Copyright © 1999 by E. W. Shineman, Jr.