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A174092 Primes p = -83 + n * 30 (n = 0, 1, ..., 8) forming "optimal" 3 x 3 Magic Prime Square.

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%I A174092 #4 Feb 02 2021 22:15:49
%S A174092 -83,-53,-23,7,37,67,97,127,157
%N A174092 Primes p = -83 + n * 30 (n = 0, 1, ..., 8) forming "optimal" 3 x 3 Magic Prime Square.
%C A174092 1st row: -53 157   7
%C A174092 2nd row:  97  37 -23
%C A174092 3rd row:  67 -83 127
%C A174092 Magic 3 x 3 square with minimal magic constant M = 3 * 37 = 111.
%C A174092 Elements are in arithmetic 1st-order progression, negative p are primes.
%C A174092 This magic prime square (MPS) from the author dates from 2008.
%C A174092 Note that Dudeney's MPS from 1917 has the nonprime element 1:
%C A174092   67  1 43
%C A174092   13 37 61
%C A174092   31 73  7
%C A174092 Madachy/Ondrejka gave 1979 MPS with M = 3 * 59 = 177 > 111:
%C A174092    17  89  71
%C A174092   113  59   5
%C A174092    47  29 101
%D A174092 E. Dudeney: Amusements in Mathematics, Problem 408, New York: Dover, 1970.
%D A174092 J. S. Madachy: Magic and Antimagic Squares, Madachy's Mathematical Recreations, New York, pp. 85-113, New York: Dover, 1979.
%D A174092 M. Miller: Geloeste und ungeloeste mathematische Probleme, Leipzig, 1982.
%Y A174092 Cf. A024351, A073519.
%K A174092 base,fini,uned,sign
%O A174092 1,1
%A A174092 Ulrich Krug (leuchtfeuer37(AT)gmx.de), Mar 07 2010