Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2012-11-01 13:39:00

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 2012-11-01 13:57:10

bobbym
Administrator

Online

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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Board footer

Powered by FluxBB