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A029705 Squarefree n such that Q(sqrt(n)) has class number 5. 11
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 (list; graph; refs; listen; history; text; internal format)
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 A141026 A158313

Adjacent sequences:  A029702 A029703 A029704 * A029706 A029707 A029708

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 15 16:12 EDT 2019. Contains 327078 sequences. (Running on oeis4.)