A351672 Discriminants of imaginary quadratic fields with class number 34 (negated).

1079, 1343, 1415, 2103, 2119, 2391, 2456, 2463, 2804, 3031, 3183, 3287, 4303, 4331, 4499, 4927, 5108, 5287, 5339, 5411, 5459, 5672, 6184, 6376, 6731, 6932, 7251, 7327, 7508, 7711, 7859, 7863, 8047, 8051, 8104, 8116, 8936, 9223, 9332, 9535, 9556, 9703, 10931

Offset

1,1

Comments

Sequence contains 219 terms; largest is 189883.

The class group of Q[sqrt(-d)] is isomorphic to C_34 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..219

Eric Weisstein's World of Mathematics, Class Number

Prog

(SageMath)
ls = [(QuadraticField(-n, 'a').discriminant(), QuadraticField(-n, 'a').class_number()) for n in (0..10000) if is_fundamental_discriminant(-n) and not is_square(n)];
[-a[0] for a in ls if a[1] == 34]

Crossrefs

Sequence in context: A235084 A274234 A023085 * A163562 A214621 A179688

Adjacent sequences: A351669 A351670 A351671 * A351673 A351674 A351675

Keyword

nonn,fini,full

Author

Andy Huchala, Mar 25 2022

Status

approved