THREE NEW PRIME VARIANT BORDER 13x13 SQUARES

A 13x13 prime magic square, discovered by JS Malachy^1,2, consists of internal 3x3, 5x5, 7x7, 9x9, and 11x11 squares which are also magic at their shared borders.

This page depicts three other variants having the same 5437 at the center of the square but a different 3x3 square having a difference (Δ) between numbers of 210 instead of 6 as in the original square. In addition prime numbers greater than 10000 are used in generating the new square.

Three New Prime 13x13 Magic Square

1. The first square (A) is shown below:

New 13x13 Prime Square A

1153	8923	1093	9127	1327	9277	1063	9133	9661	1693	991	8887	8353
9967	8161	3253	2857	6823	103	4447	10861	8713	8317	3001	3271	907
1831	8167	4093	7561	3631	3457	7573	3907	7411	3967	7333	2707	9043
9907	7687	7237	6367	4597	4723	6577	4513	4831	6451	3637	3187	967
10723	7753	2347	4603	5527	4993	5641	6073	4951	6271	8527	3121	421
151	2293	6763	4463	4657	8941	1723	5647	6217	6211	4111	8581	10453
2011	2683	6871	6547	10867	2143	5437	8731	7	4327	4003	8191	8863
9403	8761	3877	4783	211	5227	9151	1933	10663	6091	6997	2113	1471
1531	2137	7177	6673	5923	5881	5233	4801	5347	4201	3697	8737	9343
9643	2251	7027	4423	6277	6151	4297	6361	6043	4507	3847	8623	1231
1783	2311	3541	3313	7243	7417	3301	6967	3463	6907	6781	8563	9091
9787	7603	7621	8017	4051	10771	6427	13	2161	2557	7873	2713	1087
2521	1951	9781	1747	9547	1597	9811	1741	1213	9181	9883	1987	9721

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2. The second square (B) is shown below:

New 13x13 Prime Square B

1153	10453	1483	8737	217	9277	1063	10243	10651	13	151	8887	8353
1867	8161	3253	733	6823	2143	4447	8821	10837	8317	3001	3271	9007
1831	8167	4093	7561	3631	3457	7573	3907	7411	3967	7333	2707	9043
9907	7687	7237	6367	4597	4723	6577	4513	4831	6451	3637	3187	967
1723	9787	2347	4603	5527	4993	5641	6073	4951	6271	8527	1087	9151
9421	2293	6763	4663	4657	8923	1741	5647	6217	6211	4111	8581	1453
2011	2683	6871	6547	10867	2161	5437	8713	7	4327	4003	8191	8863
9403	8761	3877	4783	211	5227	9133	1951	10663	6091	6997	2113	1471
607	103	7177	6673	5923	5881	5233	4801	5347	4201	3697	10771	10267
9643	2251	7027	4423	6277	6151	4297	6361	6043	4507	3847	8623	1231
9883	2311	3541	3313	7243	7417	3301	6967	3463	6907	6781	8563	991
10711	7603	7621	10141	4051	8731	6427	2053	37	2557	7873	2713	163
2521	421	9391	2137	10657	1597	9811	631	223	10861	10723	1987	9721

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3. The third square (C) is shown below:

New 13x13 Prime Square C

1153	10453	1093	9127	1327	9277	1063	9907	9661	163	217	8887	8353
9967	8161	3253	2857	6823	2143	4447	8821	8713	8317	3001	3271	907
1831	8167	4093	7561	3631	3457	7573	3907	7411	3967	7333	2707	9043
10837	7687	7237	6367	4597	4723	6577	4513	4831	6451	3637	3187	37
1723	7753	2347	4603	5527	4993	5641	6073	4951	6271	8527	3121	9151
9421	2293	6763	4463	4657	9133	1531	5647	6217	6211	4111	8581	1453
2011	2683	6871	6547	10867	1951	5437	8923	7	4327	4003	8191	8863
9403	8761	3877	4783	211	5227	9343	1741	10663	6091	6997	2113	1471
601	2137	7177	6673	5923	5881	5233	4801	5347	4201	3697	8737	10273
9643	2251	7027	4423	6277	6151	4297	6361	6043	4507	3847	8623	1231
1783	2311	3541	3313	7243	7417	3301	6967	3463	6907	6781	8563	9091
9787	7603	7621	8017	4051	8731	6427	2053	2161	2557	7873	2713	1087
2521	421	9781	1747	9547	1597	9811	967	1213	10771	10657	1987	9721

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4. For comparisons sake Malachy's prime square is shown below.

This concludes the new 13x13 prime squares variants.
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References

1. http://www.magic-squares.net/primesqr.htm#Order-13 constant difference
2. I.S.Malachy, Mathematics on Vacation, Thomas Nelson and Sons, 1966, pp92-94.