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A029704 Q(sqrt(n)) has class number 4. 4
82, 130, 145, 170, 195, 210, 219, 231, 255, 274, 290, 291, 322, 323, 330, 370, 390, 410, 434, 435, 438, 445, 455, 462, 483, 505, 510, 514, 530, 546, 555, 570, 579, 582, 595, 610, 615, 626, 627, 651, 658, 663, 674, 689, 690, 706, 714, 715, 723, 731, 754, 759, 770 (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[770], SquareFreeQ[#] && NumberFieldClassNumber@Sqrt[#] == 4 &] (* Arkadiusz Wesolowski, Oct 18 2012 *)
PROG
(PARI) is(n)=if(issquarefree(n), my(c=bnfinit('x^2-n).cyc); c==[4] || c==[2, 2], 0) \\ Charles R Greathouse IV, Oct 18 2012
CROSSREFS
Sequence in context: A037159 A223088 A039547 * A260835 A173087 A264352
KEYWORD
nonn
AUTHOR
Paolo Dominici (pl.dm(AT)libero.it)
EXTENSIONS
Initial term added by Arkadiusz Wesolowski, Oct 18 2012
STATUS
approved

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Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)