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 A258082 Smallest magic constant of most-perfect magic squares of order 2n composed of distinct prime numbers. 2
 240, 29790, 24024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS A magic square of order 2n is most-perfect if the following two conditions hold: (i) every 2 x 2 subsquare (including wrap-around) sum to 2T; and (ii) any pair of elements at distance n along a diagonal or a skew diagonal sum to T, where T= S/n, S is the magic constant. All most-perfect magic squares are pandiagonal. All pandiagonal magic squares of order 4 are most-perfect (cf. A191533). LINKS N. Makarova, Puzzle 671: Most Perfect Magic Squares, Prime Puzzles & Problems. Wikipedia, Most-perfect magic square EXAMPLE a(3)=29790 corresponds to the following most-perfect magic square of order 6:    149 9161 2309 6701 2609 8861   9067 1483 6907 3943 6607 1783   4139 5171 6299 2711 6599 4871   3229 7321 1069 9781  769 7621   5987 3323 8147  863 8447 3023   7219 3331 5059 5791 4759 3631 a(4)=24024 corresponds to the following most-perfect magic square of order 8:     19 5923 1019 4423 4793 1277 3793 2777   4877 1193 3877 2693  103 5839 1103 4339    499 5443 1499 3943 5273  797 4273 2297   5297  773 4297 2273  523 5419 1523 3919   1213 4729 2213 3229 5987   83 4987 1583   5903  167 4903 1667 1129 4813 2129 3313    733 5209 1733 3709 5507  563 4507 2063   5483  587 4483 2087  709 5233 1709 3733 CROSSREFS Cf. A191533. Sequence in context: A205256 A110163 A323981 * A269825 A232843 A289636 Adjacent sequences:  A258079 A258080 A258081 * A258083 A258084 A258085 KEYWORD bref,nonn,more AUTHOR Natalia Makarova, May 23 2015 STATUS approved

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Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)