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A073523 A set of 36 consecutive primes that form a 6 X 6 pandiagonal magic square with the smallest magic constant (930). +0
5
67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251 (list; graph; listen)
OFFSET

1,1

COMMENT

There exist non-pandiagonal 6 X 6 magic squares composed of consecutive primes with smaller magic constant. See A073520.

REFERENCES

Allan W. Johnson, Jr., Journal of Recreational Mathematics, vol. 23:3, 1991, pp. 190-191.

Clifford A. Pickover, The Zen of Magic Squares, Circles and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, 2002.

LINKS

Harvey Heinz, Prime Magic Squares

Index entries for sequences related to magic squares

EXAMPLE

The magic square is

[ 67 193 71 251 109 239 ]

[ 139 233 113 181 157 107 ]

[ 241 97 191 89 163 149 ]

[ 73 167 131 229 151 179 ]

[ 199 103 227 101 127 173 ]

[ 211 137 197 79 223 83 ]

CROSSREFS

Cf. A073519, A073520, A073521, A073522.

Sequence in context: A102891 A145175 A045808 this_sequence A033243 A039432 A043255

Adjacent sequences: A073520 A073521 A073522 this_sequence A073524 A073525 A073526

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Aug 29 2002

EXTENSIONS

Edited by Max Alekseyev (maxale(AT)gmail.com), Sep 24 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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