A351667 Discriminants of imaginary quadratic fields with class number 29 (negated).

887, 2287, 2311, 2383, 2939, 3583, 3659, 3823, 4451, 4519, 5051, 5743, 6947, 7207, 7643, 7687, 8863, 8963, 9323, 12323, 13763, 13883, 14387, 15139, 15227, 15443, 15467, 15859, 16427, 17491, 20483, 20507, 22051, 23059, 23251, 24859, 25523, 28403, 29587, 29723

Offset: 1

Author

Andy Huchala, Mar 24 2022

Keywords

• nonn
• fini
• full

Comments

Sequence contains 83 terms; largest is 166147.

The class group of Q[sqrt(-d)] is isomorphic to C_29 for all d in this sequence.

Links

• Andy Huchala, Table of n, a(n) for n = 1..83
• Eric Weisstein's World of Mathematics, Class Number

Crossrefs

Cf. A006203, A013658, A014602, A014603, A046002-A046020, A046125, A056987, A351664-A351666.

Programs

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] == 29]