A046011 Discriminants of imaginary quadratic fields with class number 14 (negated).

215, 287, 391, 404, 447, 511, 535, 536, 596, 692, 703, 807, 899, 1112, 1211, 1396, 1403, 1527, 1816, 1851, 1883, 2008, 2123, 2147, 2171, 2335, 2427, 2507, 2536, 2571, 2612, 2779, 2931, 2932, 3112, 3227, 3352, 3579, 3707, 3715, 3867, 3988

Offset

1,1

Comments

There are 95 discriminants in this sequence (almost certainly but not proved).

Links

Andrew Howroyd, Table of n, a(n) for n = 1..95

Steven Arno, M. L. Robinson and Ferrel S. Wheeler, Imaginary quadratic fields with small odd class number, Acta Arithm. 83.4 (1998), 295-330

Duncan A. Buell, Small class numbers and extreme values of L-functions of quadratic fields, Math. Comp., 31 (1977), 786-796.

C. Wagner, Class Number 5, 6 and 7, Math. Comput. 65, 785-800, 1996.

Eric Weisstein's World of Mathematics, Class Number.

Index entries for sequences related to quadratic fields

Mathematica

Reap[ For[n = 1, n < 4000, n++, s = Sqrt[-n]; If[ NumberFieldClassNumber[s] == 14, d = -NumberFieldDiscriminant[s]; Print[d]; Sow[d]]]][[2, 1]] // Union (* Jean-François Alcover, Oct 05 2012 *)

Prog

(PARI) ok(n)={isfundamental(-n) && qfbclassno(-n) == 14} \\ Andrew Howroyd, Jul 24 2018

Crossrefs

Cf. A006203, A013658, A014602, A014603, A046002-A046020.

Sequence in context: A202319 A181008 A191943 * A038853 A038860 A120536

Adjacent sequences: A046008 A046009 A046010 * A046012 A046013 A046014

Keyword

nonn,fini

Author

Eric W. Weisstein

Status

approved