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A104157
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Smallest of n^2 consecutive primes that form an n X n magic square with the least magic constant, or 0 if no such magic square exists.
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0
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2, 0, 1480028129, 31, 13, 7, 7, 79, 37, 23, 67, 89, 13, 89, 131, 31, 71, 47, 43, 73, 277, 353, 41, 67, 127, 223, 79, 13, 193, 5, 23, 43, 5, 67, 3, 19, 5, 59, 59, 653, 19, 19, 97, 409, 5, 383, 29, 137, 379, 349, 653, 1187, 47, 41, 37, 17, 619, 89, 283, 283, 43, 479, 191
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OFFSET
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1,1
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REFERENCES
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H. L. Nelson, Journal of Recreational Mathematics, 1988, vol. 20:3, p. 214.
Clifford A. Pickover, The Zen of Magic Squares, Circles and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, 2002.
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LINKS
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Table of n, a(n) for n=1..63.
Harvey Heinz, Prime Magic Squares
Stefano Tognon, Table for prime magic squares [From Max Alekseyev, Sep 24 2009]
Index entries for sequences related to magic squares
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FORMULA
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Conjecture: for n>4, a(n)=prime(s) where s>1 is the smallest integer such that (Sum[i=s..s+n^2-1] prime(i))/n is an integer of the same evenness as n. [From Max Alekseyev, Jan 29 2010]
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CROSSREFS
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Cf. A073519, A073520, A073521, A073522, A073523.
Sequence in context: A114632 A036108 A090446 * A073520 A152137 A060838
Adjacent sequences: A104154 A104155 A104156 * A104158 A104159 A104160
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KEYWORD
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hard,nonn
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AUTHOR
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Robert G. Wilson v, Mar 09 2005
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EXTENSIONS
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a(5)-a(6) corrected, a(7)-a(20) added by Max Alekseyev, Sep 24 2009
Definition edited by N. J. A. Sloane, Oct 03 2009
More terms from Max Alekseyev, Jan 29 2010
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STATUS
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approved
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