A368676 - OEIS

A368676

Number of 4 X 4 prime magic squares with magic sum 2n.

128, 0, 0, 160, 0, 0, 224, 0, 64, 384, 64, 192, 2112, 96, 224, 4768, 0, 480, 5472, 160, 1088, 6688, 160, 1632, 13600, 416, 1728, 24640, 544, 3008, 40736, 512, 6720, 45504, 672, 11776, 41984, 2752, 17888, 65760, 4416, 18688, 128544, 4544, 21888, 162240, 3712

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OFFSET

60,1

LINKS

Table of n, a(n) for n=60..106.

Eric Weisstein's World of Mathematics, Prime Magic Square.

EXAMPLE

[17, 11, 31, 61]

[43, 67, 3, 7]

[41, 37, 13, 29]

[19, 5, 73, 23]

is a 4 X 4 prime magic square in which the elements in each row and column and both diagonals sum to 120 and all elements are prime numbers. There are a total of 128 such prime magic squares so a(60)=128.

CROSSREFS

Cf. A006052, A073520, A073521, A271578.

Sequence in context: A135982 A135983 A101327 * A035880 A010369 A351247

Adjacent sequences: A368673 A368674 A368675 * A368677 A368678 A368679

KEYWORD

nonn

AUTHOR

Zhao Hui Du, Jan 02 2024

STATUS

approved