In the cyclotomic integers $\mathbb{Z}[\zeta_n]$, $n=23$ has class number $3$ and so unique factorization fails (https://en.wikipedia.org/wiki/Cyclotomic_field ). Can anyone give me examples of such integers that have more than one ($3$?) prime factorizations? Is there a formula to calculate them? Do some or most or all integers have this property? Thanks.
2026-03-26 12:36:35.1774528595
What are the integers that lack unique factorization in $\mathbb Z[\zeta_n],$ $n= 23$?
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