The calculation of a large cubic class number with an application to real cyclotomic fields
The calculation of a large cubic class number with an application to real cyclotomic fields
The class number of the cubic subfield of the <italic>p</italic>th cyclotomic field is calculated for the prime <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p equals 11290018777"> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>=</mml:mo> <mml:mn>11290018777</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">p = 11290018777</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. This is used to construct an example where the class number of the …