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A358445
Euler's 4 X 4 magic square of squares.
2
4624, 841, 1681, 1369, 289, 961, 6241, 1024, 3481, 784, 529, 3721, 121, 5929, 64, 2401
OFFSET
1,1
COMMENTS
This is the first known magic square of squares; Euler sent it to Lagrange in 1770.
The magic sum is 8515.
LINKS
Paul Pierrat, François Thiriet, and Paul Zimmermann, Magic Squares of Squares.
Philippe Michaud-Rodgers, Magic Squares of Squares.
Ivars Peterson, Magic Squares of Squares.
EXAMPLE
The magic square is:
[ 4624 841 1681 1369 ]
[ 289 961 6241 1024 ]
[ 3481 784 529 3721 ]
[ 121 5929 64 2401 ]
Equivalently:
[ 68^2 29^2 41^2 37^2 ]
[ 17^2 31^2 79^2 32^2 ]
[ 59^2 28^2 23^2 61^2 ]
[ 11^2 77^2 8^2 49^2 ]
CROSSREFS
Cf. A271580: magic sums of 4 X 4 magic squares composed of squares.
Sequence in context: A140175 A116226 A115446 * A254850 A139410 A031566
KEYWORD
nonn,fini,full
AUTHOR
Robert C. Lyons, Dec 30 2022
STATUS
approved