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#1 2012-10-31 14:39:00

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?

#2 2012-10-31 14:57:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,797

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


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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