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 A179440 The smallest magic constant of pan-diagonal magic squares which consist of distinct prime numbers 1
 240, 395, 450, 733 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 COMMENTS Classic pan-diagonal magic squares exist for orders n > 3 not of the form 4k+2. Non-traditional pandiagonal magic squares exist for all orders n > 3. Bounds for further terms: a(8) <= 1248, a(9) <= 2025, a(10) <= 2850, a(11) <= 4195, a(12) <= 5544, a(13) <= 7597. LINKS N. Makarova, (in Russian) V. Pavlovsky, (in Russian) S. Belyaev , (in Russian) Mutsumi Suzuki, MagicSquare Al Zimmermann's Programming Contests, Pandiagonal Magic Squares of Prime Numbers: Final Report EXAMPLE a(5) = 395 (found by V. Pavlovsky)     5  73 127 137  53    37 167  17  71 103    83 101  13  67 131    43  31 197 113  11   227  23  41   7  97 . a(6) = 450 (found by Radko Nachev)     3   5  89 137  67 149   127 163   7  29  11 113    31  23 167  59 157  13   107  97  43  53 131  19    73  79  41  71  47 139   109  83 103 101  37  17 . a(7) = 733 (found by Jarek Wroblewski)     3   7 173 223  17 197 113   181 211  11  79 131  23  97    43  41 149  89 137 191  83   233 103 107  73 127  31  59    29 167 101  19 199  67 151     5  47 139 179 109  61 193   239 157  53  71  13 163  37 CROSSREFS Cf. A073523 Sequence in context: A099833 A272950 A255266 * A154378 A300145 A063372 Adjacent sequences:  A179437 A179438 A179439 * A179441 A179442 A179443 KEYWORD more,nonn,bref AUTHOR Natalia Makarova, Jul 14 2010 EXTENSIONS Correction for the third term with example given Natalia Makarova, Jul 21 2010 Link and example corrected by Natalia Makarova, Aug 01 2010 Edited by Max Alekseyev, Mar 15 2011 Bound for a(9) improved by Alex Chernov, Apr 23 2011 Bound for a(12) improved by _Natalya Makarova_, Jun 21 2011 Corrected a(6) from Radko Nachev, added by Max Alekseyev, May 28 2013 a(7) from Jarek Wroblewski and new bounds from Al Zimmermann's contest, added by Max Alekseyev, Oct 11 2013 STATUS approved

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Last modified June 29 18:25 EDT 2022. Contains 354913 sequences. (Running on oeis4.)