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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
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
Sequence in context: A013895 A296904 A159890 * A096991 A332674 A141026
KEYWORD
nonn
AUTHOR
Paolo Dominici (pl.dm(AT)libero.it)
STATUS
approved

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Last modified February 26 11:46 EST 2024. Contains 370352 sequences. (Running on oeis4.)