# 1105 as Sum of Two Squares

$1105$ can be expressed as the sum of two squares in more ways than any smaller integer:
 $\displaystyle 1105$ $=$ $\, \displaystyle 1089 + 16 \,$ $\, \displaystyle =\,$ $\displaystyle 33^2 + 4^2$ $\quad$ $\quad$ $\displaystyle$ $=$ $\, \displaystyle 1024 + 81 \,$ $\, \displaystyle =\,$ $\displaystyle 32^2 + 9^2$ $\quad$ $\quad$ $\displaystyle$ $=$ $\, \displaystyle 961 + 144 \,$ $\, \displaystyle =\,$ $\displaystyle 31^2 + 12^2$ $\quad$ $\quad$ $\displaystyle$ $=$ $\, \displaystyle 625 + 529 \,$ $\, \displaystyle =\,$ $\displaystyle 24^2 + 23^2$ $\quad$ $\quad$