A351671 Discriminants of imaginary quadratic fields with class number 33 (negated).

839, 1583, 1951, 2423, 3967, 4091, 4423, 4567, 4663, 4831, 4999, 5167, 5623, 5791, 6343, 6823, 6967, 7331, 7351, 7499, 8167, 9011, 12619, 13183, 13619, 13931, 14251, 15299, 16619, 17419, 18691, 19163, 21347, 21563, 24019, 25411, 28027, 28163, 28579, 29243

Offset

1,1

Comments

Sequence contains 101 terms; largest is 222643.

The class group of Q[sqrt(-d)] is isomorphic to C_33 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..101

Eric Weisstein's World of Mathematics, Class Number

Prog

(Sage)
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] == 33]

Crossrefs

Cf. A006203, A013658, A014602, A014603, A046002-A046020, A046125, A056987, A351664.

Sequence in context: A284187 A202716 A118380 * A135639 A158401 A290119

Adjacent sequences: A351668 A351669 A351670 * A351672 A351673 A351674

Keyword

nonn,fini,full

Author

Andy Huchala, Mar 25 2022

Status

approved