- #1

ptolema

- 83

- 0

## Homework Statement

Find integers A and B such that A

^{2}+B

^{2}= 8585

## Homework Equations

## The Attempt at a Solution

So in this case, I already know the answer:

Sum of 2 squares: 8585 = 67^2 + 64^2 = 76^2 + 53^2 = 88^2 + 29^2 = 92^2 + 11^2.

I started off looking at the graph of the circle A

^{2}+B

^{2}= 8585. My problem was trying to limit my possible solutions to integers.

Is there is any kind of method/algorithm for expressing a number as a sum of squares? I haven't really seen it as commonly as I do the difference of squares.