Satanic square

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A satanic square is a magic square that remains magic after all its numbers are raised to a specific (fixed) power. The smallest known normal satanic square, shown below, has order 8.

5	31	35	60	57	34	8	30
19	9	53	46	47	56	18	12
16	22	42	39	52	61	27	1
63	37	25	24	3	14	44	50
26	4	64	49	38	43	13	23
41	51	15	2	21	28	62	40
54	48	20	11	10	17	55	45
36	58	6	29	32	7	33	59

This magic square has a magic constant of 260. Raising every number to the second power yields the following square. It is another magic square with a magic sum of 11180.

25	961	1225	3600	3249	1156	64	900
361	81	2809	2116	2209	3136	324	144
256	484	1764	1521	2704	3721	729	1
3969	1369	625	576	9	196	1936	2500
676	16	4096	2401	1444	1849	169	529
1681	2601	225	4	441	784	3844	1600
2916	2304	400	121	100	289	3025	2025
1296	3364	36	841	1024	49	1089	3481

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Satanic square

From Free net encyclopedia

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5	31	35	60	57	34	8	30
19	9	53	46	47	56	18	12
16	22	42	39	52	61	27	1
63	37	25	24	3	14	44	50
26	4	64	49	38	43	13	23
41	51	15	2	21	28	62	40
54	48	20	11	10	17	55	45
36	58	6	29	32	7	33	59

5	31	35	60	57	34	8	30
19	9	53	46	47	56	18	12
16	22	42	39	52	61	27	1
63	37	25	24	3	14	44	50
26	4	64	49	38	43	13	23
41	51	15	2	21	28	62	40
54	48	20	11	10	17	55	45
36	58	6	29	32	7	33	59

5	31	35	60	57	34	8	30
19	9	53	46	47	56	18	12
16	22	42	39	52	61	27	1
63	37	25	24	3	14	44	50
26	4	64	49	38	43	13	23
41	51	15	2	21	28	62	40
54	48	20	11	10	17	55	45
36	58	6	29	32	7	33	59