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Thanks for any help

- Thread starter hmmm16
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- Thread starter
- #1

Thanks for any help

- Feb 15, 2012

- 1,967

how about 2? 2 is irreducible, since N(ab) = N(2) = 4 implies N(a) = 1,2 or 4. if N(a) = 1, then a = 1 or -1, which are both units. there are no solutions to N(a) = 2, and if N(a) = 4, then b is a unit.

but 2 divides 4 = (1+√(-3))(1-√(-3)), and 2 does not divide either factor, so 2 is not prime.