Im still having trouble of the notion of primes in quadratic fields. How do I find a quadratic integer in $\displaystyle \mathbb{Q}(\sqrt{-1})$ which is prime, but whose norm is not prime. Thanks.
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Originally Posted by Pn0yS0ld13r Im still having trouble of the notion of primes in quadratic fields. How do I find a quadratic integer in $\displaystyle \mathbb{Q}(\sqrt{-1})$ which is prime, but whose norm is not prime. I answered a similar question here. Therefore $\displaystyle 7$ with $\displaystyle N(7) = 7^2$ is such an example.
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