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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

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

CROSSREFS

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

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 October 23 08:17 EDT 2014. Contains 248430 sequences.