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A073502
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The smallest magic constant for n X n magic square with prime entries (regarding 1 as a prime).
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4
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111, 102, 213, 408, 699, 1114, 1681, 2416, 3355, 4514, 5937, 7626, 9635, 11986, 14691, 17818, 21373, 25394, 29873, 34926, 40511, 46664, 53445, 60898, 69045, 77888, 87473, 97850, 109065, 121126, 134113, 147982, 162759
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OFFSET
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3,1
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COMMENTS
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Until the early part of the twentieth century 1 was regarded as a prime (see A008578).
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REFERENCES
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W. S. Andrews and H. A. Sayles, The Monist (Chicago) for October 1913.
H. E. Dudeney, Amusements in Mathematics, Nelson, London, 1917, page 125, who quotes the Andrews-Sayles article as his source.
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LINKS
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Table of n, a(n) for n=3..35.
Yu. V. Chebrakov Theory of magic matrices. (in Russian)
N. Makarova 13x13 magic square. (in Russian)
N. Makarova 14x14 magic square. (in Russian)
Eric Weisstein's World of Mathematics, Prime Magic Square
Index entries for sequences related to magic squares
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CROSSREFS
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Cf. A073473 (for the n=3 square), A024351, A073520, A164843, A173079.
Sequence in context: A123698 A123727 A072807 * A066335 A107844 A084504
Adjacent sequences: A073499 A073500 A073501 * A073503 A073504 A073505
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane, Aug 27 2002
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EXTENSIONS
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Dudeney gives 36095/11 for n = 11 (an obvious typo) and 4514 for n = 12.
a(3)-a(12) are confirmed/given by Chebrakov.
a(15), a(17), a(22), a(35), and a(124)=9912840 from S. Tognon (cf. A173079).
a(13)-a(14), a(16), a(18)-a(21), a(23)-a(34) from N. Makarova.
Edited by Max Alekseyev, Feb 11 2010
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STATUS
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approved
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