Editing Class number problem (section)

==Status==
;Gauss conjecture: solved, Heilbronn, 1934.<ref name="GaussClassNumber">{{cite journal | last=Heilbronn | first=Hans | title=ON THE CLASS-NUMBER IN IMAGINARY QUADRATIC FIELDS | journal=The Quarterly Journal of Mathematics | volume=os-5 | issue=1 | date=1934 | issn=0033-5606 | doi=10.1093/qmath/os-5.1.150 | pages=150–160 | url=https://academic.oup.com/qjmath/article-lookup/doi/10.1093/qmath/os-5.1.150 | access-date=2025-04-21| url-access=subscription }}</ref>
;Low class number lists: class number 1: solved, Baker (1966), Stark (1967), Heegner (1952).
:Class number 2: solved, Baker (1971), Stark (1971)<ref name=irelandrosen>{{citation | last1 = Ireland | first1 = K. |last2 = Rosen | first2 = M. | title = A Classical Introduction to Modern Number Theory  | publisher = Springer-Verlag | year = 1993  | location = New York, New York  | pages = 358–361  | isbn = 978-0-387-97329-6}}</ref>
:Class number 3: solved, Oesterlé (1985)<ref name=irelandrosen/>
:Class numbers h up to 100: solved, Watkins 2004<ref name=watkins>{{citation | last1 = Watkins | first1 = M. | title = Class numbers of imaginary quadratic fields  | series = Mathematics of Computation | volume = 73 | issue = 246 | year = 2004  | pages = 907–938 | url=https://www.ams.org/mcom/2004-73-246/S0025-5718-03-01517-5/home.html| doi = 10.1090/S0025-5718-03-01517-5 | doi-access =free  }}</ref>
;Infinitely many real quadratic fields with class number one: Open.