23

This number is a prime.

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Cyclotomic rings are formed by adjoining the n roots of unity to the integers. Montgomery and Uchida independently showed that the first of these rings to have class number greater than one is formed by adjoining the 23rd roots of unity. [Bonan]

Submitted: 1999-09-02 23:40:00; Last Modified: 2008-02-11 02:34:12.