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The set of 16 consecutive primes with the property that they form a 4 X 4 magic square with the smallest magic constant (258).
13

%I #13 Oct 28 2018 02:46:47

%S 31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101

%N The set of 16 consecutive primes with the property that they form a 4 X 4 magic square with the smallest magic constant (258).

%D Allan W. Johnson, Jr., Journal of Recreational Mathematics, vol. 14:2, 1981-82, pp. 152-153.

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

%H Harvey Heinz, <a href="http://www.magic-squares.net/primesqr.htm">Prime Magic Squares</a>

%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>

%e The magic square is

%e [ 37 83 97 41 ]

%e [ 53 61 71 73 ]

%e [ 89 67 59 43 ]

%e [ 79 47 31 101 ]

%o (PARI) A073521=MagicPrimes(258,4) \\ See A073519 for MagicPrimes(). - _M. F. Hasler_, Oct 28 2018

%Y Cf. A073519, A073520, A073522, A073523.

%K nonn,fini,full

%O 1,1

%A _N. J. A. Sloane_, Aug 29 2002