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 A073502 The smallest magic constant for n X n magic square with prime entries (regarding 1 as a prime). 4
 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 (list; graph; refs; listen; history; text; internal format)
 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 13x13 magic square. (in Russian) N. Makarova 14x14 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 Adjacent sequences:  A073499 A073500 A073501 * A073503 A073504 A073505 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

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Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)