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#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
Offline
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.