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A174092
Primes p = -83 + n * 30 (n = 0, 1, ..., 8) forming "optimal" 3 x 3 Magic Prime Square.
0
-83, -53, -23, 7, 37, 67, 97, 127, 157
OFFSET
1,1
COMMENTS
1st row: -53 157 7
2nd row: 97 37 -23
3rd row: 67 -83 127
Magic 3 x 3 square with minimal magic constant M = 3 * 37 = 111.
Elements are in arithmetic 1st-order progression, negative p are primes.
This magic prime square (MPS) from the author dates from 2008.
Note that Dudeney's MPS from 1917 has the nonprime element 1:
67 1 43
13 37 61
31 73 7
Madachy/Ondrejka gave 1979 MPS with M = 3 * 59 = 177 > 111:
17 89 71
113 59 5
47 29 101
REFERENCES
E. Dudeney: Amusements in Mathematics, Problem 408, New York: Dover, 1970.
J. S. Madachy: Magic and Antimagic Squares, Madachy's Mathematical Recreations, New York, pp. 85-113, New York: Dover, 1979.
M. Miller: Geloeste und ungeloeste mathematische Probleme, Leipzig, 1982.
CROSSREFS
Sequence in context: A272637 A317915 A033403 * A346979 A134456 A247442
KEYWORD
base,fini,uned,sign
AUTHOR
Ulrich Krug (leuchtfeuer37(AT)gmx.de), Mar 07 2010
STATUS
approved