Math Is Fun Forum

Johnathon bresly

Guest

Four square theorem

Hi,I learnt about the lagrange's four square theorem,now I am curious about it, how do I find then a,b,c,d for n such that,n=a^2+b^2+c^2+d^2?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Four square theorem

Hi;

As far as I know this is a computational problem. You can get the number of solutions but to determine what they are you will need a computer.

For instance the number of solutions to

with

is 3744

To give you an idea of the complexity of the problem please go here;

http://www.alpertron.com.ar/4SQUARES.HTM

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