A029705 Squarefree n such that Q(sqrt(n)) has class number 5.

401, 439, 499, 727, 817, 982, 1093, 1126, 1327, 1393, 1429, 1486, 1641, 1766, 1897, 2027, 2081, 2153, 2399, 2878, 3121, 3134, 3181, 3238, 3251, 3253, 3814, 3967, 3997, 4271, 4353, 4357, 4358, 4441, 4591, 4622, 4757, 4889, 5107, 5241, 5269, 5527, 5711, 5774

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Index entries for sequences related to quadratic fields

Mathematica

Select[Range[5774], SquareFreeQ[#] && NumberFieldClassNumber@Sqrt[#] == 5 &] (* Arkadiusz Wesolowski, Oct 22 2012 *)

Prog

(PARI) is(n)=issquarefree(n)&&bnfinit('x^2-n).cyc==[5] \\ Charles R Greathouse IV, Oct 18 2012

Crossrefs

Cf. A003172, A029702-A029704, A218038-A218042.

Sequence in context: A013895 A296904 A159890 * A096991 A332674 A141026

Adjacent sequences: A029702 A029703 A029704 * A029706 A029707 A029708

Keyword

nonn

Author

Paolo Dominici (pl.dm(AT)libero.it)

Status

approved