

A174092


Primes p = 83 + n * 30 (n = 0, 1, ..., 8) forming "optimal" 3 x 3 Magic Prime Square.


0




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. 85113, New York: Dover, 1979
M. Miller: Geloeste und ungeloeste mathematische Probleme, Leipzig, 1982


LINKS

Table of n, a(n) for n=1..9.


CROSSREFS

Cf. A024351, A073519
Sequence in context: A272637 A317915 A033403 * A134456 A247442 A106428
Adjacent sequences: A174089 A174090 A174091 * A174093 A174094 A174095


KEYWORD

base,fini,uned,sign


AUTHOR

Ulrich Krug (leuchtfeuer37(AT)gmx.de), Mar 07 2010


STATUS

approved



