Seah, Eric; Washington, Lawrence C.; Williams, Hugh C. The calculation of a large cubic class number with an application to real cyclotomic fields. (English) Zbl 0527.12004 Math. Comput. 41, 303-305 (1983). The class number of the cubic subfield of the \(p\)th cyclotomic field is calculated for the prime \(p = 11290018777\). This is used to construct an example where the class number of the \(p\)th real cyclotomic field is larger than \(p\). Reviewer: H. C. Williams Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 11Y40 Algebraic number theory computations 11R18 Cyclotomic extensions 11R29 Class numbers, class groups, discriminants 11R16 Cubic and quartic extensions Keywords:large class number; cubic subfield of cyclotomic field; real class number PDFBibTeX XMLCite \textit{E. Seah} et al., Math. Comput. 41, 303--305 (1983; Zbl 0527.12004) Full Text: DOI