A046010 Discriminants of imaginary quadratic fields with class number 13 (negated).

191, 263, 607, 631, 727, 1019, 1451, 1499, 1667, 1907, 2131, 2143, 2371, 2659, 2963, 3083, 3691, 4003, 4507, 4643, 5347, 5419, 5779, 6619, 7243, 7963, 9547, 9739, 11467, 11587, 11827, 11923, 12043, 14347, 15787, 16963, 20563

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Steven Arno, M. L. Robinson, Ferrell S. Wheeler, Imaginary quadratic fields with small odd class number, Acta Arith. 83 (1998) 295-330.

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

Keith Matthews, Tables of imaginary quadratic fields with small class numbers

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 < 21000, n++, s = Sqrt[-n]; If[ NumberFieldClassNumber[s] == 13, d = -NumberFieldDiscriminant[s]; Print[d]; Sow[d]]]][[2, 1]] // Union (* Jean-François Alcover, Oct 05 2012 *)

Crossrefs

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

Sequence in context: A059244 A136068 A045141 * A146361 A229075 A367318

Adjacent sequences: A046007 A046008 A046009 * A046011 A046012 A046013

Keyword

nonn,fini,full

Author

Eric W. Weisstein

Status

approved