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A073502
The smallest magic constant for n X n magic square with prime entries (regarding 1 as a prime).
5
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
OFFSET
3,1
COMMENTS
Until the early part of the twentieth century 1 was regarded as a prime (see A008578).
REFERENCES
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.
LINKS
Yu. V. Chebrakov, Section 3.3. Smallest magic matrices of prime numbers in "Theory of Magic Matrices. Issue TMM-1.", 2008. (in Russian)
N. Makarova 13 X 13 magic square. (in Russian)
N. Makarova 14 X 14 magic square. (in Russian)
Eric Weisstein's World of Mathematics, Prime Magic Square
CROSSREFS
Cf. A073473 (for the n=3 square), A024351, A073520, A164843, A173079.
Sequence in context: A282976 A284083 A252724 * A066335 A107844 A084504
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Aug 27 2002
EXTENSIONS
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
STATUS
approved