1. ## Primes in Quadratic Fields

Im still having trouble of the notion of primes in quadratic fields.

How do I find a quadratic integer in $\mathbb{Q}(\sqrt{-1})$ which is prime, but whose norm is not prime.

Thanks.

2. Originally Posted by Pn0yS0ld13r
Im still having trouble of the notion of primes in quadratic fields.

How do I find a quadratic integer in $\mathbb{Q}(\sqrt{-1})$ which is prime, but whose norm is not prime.
I answered a similar question here.

Therefore $7$ with $N(7) = 7^2$ is such an example.