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%I A179440 #38 Jan 09 2021 02:39:12
%S A179440 240,395,450,733
%N A179440 The smallest magic constant of pan-diagonal magic squares which consist of distinct prime numbers
%C A179440 Classic pan-diagonal magic squares exist for orders n > 3 not of the form 4k+2.
%C A179440 Non-traditional pandiagonal magic squares exist for all orders n > 3.
%C A179440 Bounds for further terms: a(8) <= 1248, a(9) <= 2025, a(10) <= 2850, a(11) <= 4195, a(12) <= 5544, a(13) <= 7597.
%H A179440 N. Makarova, (in Russian)
%H A179440 V. Pavlovsky, (in Russian)
%H A179440 S. Belyaev , (in Russian)
%H A179440 Mutsumi Suzuki, MagicSquare
%H A179440 Al Zimmermann's Programming Contests, Pandiagonal Magic Squares of Prime Numbers: Final Report
%e A179440 a(5) = 395 (found by V. Pavlovsky)
%e A179440 5 73 127 137 53
%e A179440 37 167 17 71 103
%e A179440 83 101 13 67 131
%e A179440 43 31 197 113 11
%e A179440 227 23 41 7 97
%e A179440 .
%e A179440 a(6) = 450 (found by Radko Nachev)
%e A179440 3 5 89 137 67 149
%e A179440 127 163 7 29 11 113
%e A179440 31 23 167 59 157 13
%e A179440 107 97 43 53 131 19
%e A179440 73 79 41 71 47 139
%e A179440 109 83 103 101 37 17
%e A179440 .
%e A179440 a(7) = 733 (found by Jarek Wroblewski)
%e A179440 3 7 173 223 17 197 113
%e A179440 181 211 11 79 131 23 97
%e A179440 43 41 149 89 137 191 83
%e A179440 233 103 107 73 127 31 59
%e A179440 29 167 101 19 199 67 151
%e A179440 5 47 139 179 109 61 193
%e A179440 239 157 53 71 13 163 37
%Y A179440 Cf. A073523
%K A179440 more,nonn,bref
%O A179440 4,1
%A A179440 _Natalia Makarova_, Jul 14 2010
%E A179440 Correction for the third term with example given _Natalia Makarova_, Jul 21 2010
%E A179440 Link and example corrected by _Natalia Makarova_, Aug 01 2010
%E A179440 Edited by _Max Alekseyev_, Mar 15 2011
%E A179440 Bound for a(9) improved by Alex Chernov, Apr 23 2011
%E A179440 Bound for a(12) improved by _Natalya Makarova_, Jun 21 2011
%E A179440 Corrected a(6) from Radko Nachev, added by _Max Alekseyev_, May 28 2013
%E A179440 a(7) from Jarek Wroblewski and new bounds from Al Zimmermann's contest, added by _Max Alekseyev_, Oct 11 2013
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