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List of number fields with class number one
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List of number fields with class number one : ウィキペディア英語版
List of number fields with class number one
This is an incomplete list of number fields with class number 1.
It is believed that there are infinitely many such number fields, but this has not been proven.〔
==Definition==
The class number of a number field is by definition the order of the ideal class group of its ring of integers.
Thus, a number field has class number 1 if and only if its ring of integers is a principal ideal domain (and thus a unique factorization domain). The fundamental theorem of arithmetic says that Q has class number 1.

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