Find the number of ordered pairs $(P(x),Q(x))$ of polynomials with integer coefficients such that

$\large{ (P(x))^{2}+(Q(x))^{2}=(x^{4096}-1)^{2} }.$

The answer is 708588.

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

No explanations have been posted yet. Check back later!