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A104157 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. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

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.

LINKS

Table of n, a(n) for n=1..63.

Harvey Heinz, Prime Magic Squares

Stefano Tognon, Table for prime magic squares

Index entries for sequences related to magic squares

FORMULA

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. - Max Alekseyev, Jan 29 2010

CROSSREFS

Cf. A073519, A073520, A073521, A073522, A073523.

Sequence in context: A114632 A036108 A090446 * A073520 A152137 A060838

Adjacent sequences:  A104154 A104155 A104156 * A104158 A104159 A104160

KEYWORD

hard,nonn,changed

AUTHOR

Robert G. Wilson v, Mar 09 2005

EXTENSIONS

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

STATUS

approved

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Last modified September 2 17:31 EDT 2014. Contains 246363 sequences.