A179440 - OEIS

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A179440

The smallest magic constant of pan-diagonal magic squares which consist of prime numbers

240, 395, 450 (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 pan-diagonal magic squares exist for all orders n>3.` `Bounds for further terms: a(7)<=1597, a(8)<=1584, a(9)<=24237, a(10)<=3594, a(11)<=198341, a(12)<=8820.`
	LINKS	`Table of n, a(n) for n=4..6.` `N. Makarova, (in Russian)` `V. Pavlovsky, (in Russian)` `S. Belyaev , (in Russian)` `Mutsumi Suzuki, MagicSquare`
	EXAMPLE	`Examples:` `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`
	CROSSREFS	`Cf. A073523` `Sequence in context: A030638 A179644 A099833 * A154378 A063372 A070123` `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(7) improved by Natalya Makarova , Apr 21 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`
	STATUS	`approved`

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Last modified June 19 07:39 EDT 2013. Contains 226399 sequences.