A364276 - OEIS

%I #11 Aug 02 2023 14:12:36

%S 1,4,961,9,400,484,256,169,25,441,121,529,100,576,49,144,225,81,729,

%T 196,625,361,64,36,289

%N A 5 X 5 magic square of squares with the smallest possible magic sum, read by rows.

%C This magic square was discovered by Christian Boyer in 2004. It's composed of the squares of the numbers from 1 to 31, excluding 4, 18, 26, 28, 29 and 30. The magic sum is 1375.

%H Christian Boyer, <a href="http://dx.doi.org/10.1007/BF02985794">Some notes on the magic squares of squares problem</a>, The Mathematical Intelligencer 27 (2005), pp. 52-64.

%H Christian Boyer, <a href="http://www.multimagie.com/English/SquaresOfSquares4_7.htm">First known 4x4 to 7x7 magic squares of squares</a>.

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

%e The magic square is:

%e   [    1    4  961    9  400 ]

%e   [  484  256  169   25  441 ]

%e   [  121  529  100  576   49 ]

%e   [  144  225   81  729  196 ]

%e   [  625  361   64   36  289 ]

%e Or equivalently:

%e   [  1^2  2^2 31^2  3^2 20^2 ]

%e   [ 22^2 16^2 13^2  5^2 21^2 ]

%e   [ 11^2 23^2 10^2 24^2  7^2 ]

%e   [ 12^2 15^2  9^2 27^2 14^2 ]

%e   [ 25^2 19^2  8^2  6^2 17^2 ]

%Y Cf. A272932, A358445, A359383.

%K nonn,tabf,fini,full

%O 1,2

%A _Paolo Xausa_, Jul 17 2023