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