I have a ring $\mathbb Z[\sqrt{-2}]$ and I need to describe all the prime numbers of that ring. How I can do that? Thank you
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1What definition of 'prime' do you know for rings? Can you give examples of any primes in $\mathbb{Z}[\sqrt{-2}]$? – The Count Jun 23 '16 at 14:32
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Related: http://math.stackexchange.com/questions/1830602, http://math.stackexchange.com/questions/1830154, http://math.stackexchange.com/questions/1825742, http://math.stackexchange.com/questions/1829626 – Watson Jun 23 '16 at 14:32
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See also this question. – Dietrich Burde Jun 23 '16 at 17:49