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A368676
Number of 4 X 4 prime magic squares with magic sum 2n.
0
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
OFFSET
60,1
LINKS
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
KEYWORD
nonn
AUTHOR
Zhao Hui Du, Jan 02 2024
STATUS
approved