Hi,
I need your help with the next two problems:
1) If p is a prime number such that p\equiv{3}\;mod\;4, prove that \sqrt{-p} is prime in \mathbb{Z}[\sqrt[ ]{-p}] and in \mathbb{Z}[\displaystyle\frac{1+\sqrt[ ]{-p}}{2}] too.
2) 2) We have d > 1 a square-free integer. Consider the quadratic...