A364276 A 5 X 5 magic square of squares with the smallest possible magic sum, read by rows.

1, 4, 961, 9, 400, 484, 256, 169, 25, 441, 121, 529, 100, 576, 49, 144, 225, 81, 729, 196, 625, 361, 64, 36, 289

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..25.

Christian Boyer, Some notes on the magic squares of squares problem, The Mathematical Intelligencer 27 (2005), pp. 52-64.

Christian Boyer, First known 4x4 to 7x7 magic squares of squares.

Index entries for sequences related to magic squares

Example

The magic square is:
  [    1    4  961    9  400 ]
  [  484  256  169   25  441 ]
  [  121  529  100  576   49 ]
  [  144  225   81  729  196 ]
  [  625  361   64   36  289 ]
Or equivalently:
  [  1^2  2^2 31^2  3^2 20^2 ]
  [ 22^2 16^2 13^2  5^2 21^2 ]
  [ 11^2 23^2 10^2 24^2  7^2 ]
  [ 12^2 15^2  9^2 27^2 14^2 ]
  [ 25^2 19^2  8^2  6^2 17^2 ]

Crossrefs

Cf. A272932, A358445, A359383.

Sequence in context: A333502 A202684 A332194 * A006030 A180268 A087365

Adjacent sequences: A364273 A364274 A364275 * A364277 A364278 A364279

Keyword

nonn,tabf,fini,full

Author

Paolo Xausa, Jul 17 2023

Status

approved