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A046012 Discriminants of imaginary quadratic fields with class number 15 (negated). 5

%I #25 Dec 25 2018 17:27:29

%S 239,439,751,971,1259,1327,1427,1567,1619,2243,2647,2699,2843,3331,

%T 3571,3803,4099,4219,5003,5227,5323,5563,5827,5987,6067,6091,6211,

%U 6571,7219,7459,7547,8467,8707,8779,9043,9907,10243,10267,10459,10651

%N Discriminants of imaginary quadratic fields with class number 15 (negated).

%C 68 discriminants in this sequence (proved).

%H R. J. Mathar, <a href="/A046012/b046012.txt">Table of n, a(n) for n=1..68</a> (full sequence)

%H Steven Arno, M. L. Robinson, Ferrell S. Wheeler, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa83/aa8341.pdf">Imaginary quadratic fields with small odd class number</a>, Acta Arith. 83 (1998) 295-330.

%H Duncan A. Buell, <a href="https://dx.doi.org/10.1090/S0025-5718-1977-0439802-X">Small class numbers and extreme values of L-functions of quadratic fields</a>, Math. Comp., 31 (1977), 786-796.

%H Keith Matthews, <a href="http://www.numbertheory.org/classnos/">Tables of imaginary quadratic fields with small class numbers</a>

%H C. Wagner, <a href="https://dx.doi.org/10.1090/S0025-5718-96-00722-3">Class Number 5, 6 and 7</a>, Math. Comput. 65, 785-800, 1996.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ClassNumber.html">Class Number.</a>

%H <a href="/index/Qua#quadfield">Index entries for sequences related to quadratic fields</a>

%t Reap[ For[n = 1, n < 12000, n++, s = Sqrt[-n]; If[ NumberFieldClassNumber[s] == 15, d = -NumberFieldDiscriminant[s]; Print[d]; Sow[d]]]][[2, 1]] // Union (* _Jean-François Alcover_, Oct 05 2012 *)

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

%K nonn,fini,full

%O 1,1

%A _Eric W. Weisstein_

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Last modified April 24 08:59 EDT 2024. Contains 371935 sequences. (Running on oeis4.)