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Old 07-22-2005, 11:14 PM
jason1990 jason1990 is offline
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Default Re: None of this nursery school stuff - a proper maths problem. 25$ re

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Is there unique prime factorization in Z[sqrt(-17)]?

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Theorem 8.22 of An Introduction to Number Theory, Harold M. Stark:
If d<0, then Q(\sqrt{d}) has the unique factorization property if and only if d is one of the nine numbers -1,-2,-3,-7,-11,-19,-43,-67, and -163.
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