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Math Help - Primes in Quadratic Fields

  1. #1
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    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.
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  2. #2
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    Quote Originally Posted by Pn0yS0ld13r View Post
    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.
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