Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re:  math reference
Posted:
Aug 8, 2011 10:18 PM


On 20110808, Deep <deepkdeb@yahoo.com> wrote: > I would appreciate it very much if someone can refer me to an > appropriate reference where following statement is justified. > > Statement: Every integer N that is not 2mod4 can be expressed as the > difference of two squares.
No reference necessary.
For odd numbers: 2n+1 = (n+1)^2  n^2. For numbers divisible by 4: 4n = (n+1)^2  (n1)^2.
They may also have other representations, but these suffice to justify the statement.
 Tim



