If x, y, z and n>1 are natural numbers with x^n + y^n = z^n, how can one show that x, y, and z all are larger than n?
How do I solve for [math]k[/math] if [math]x^k \bmod n = y[/math]  if I know [math]x[/math] and [math]y[/math] and [math]n[/math] but I can't factor [math]n[/math]?