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 A046008 Discriminants of imaginary quadratic fields with class number 11 (negated). 4
 167, 271, 659, 967, 1283, 1303, 1307, 1459, 1531, 1699, 2027, 2267, 2539, 2731, 2851, 2971, 3203, 3347, 3499, 3739, 3931, 4051, 5179, 5683, 6163, 6547, 7027, 7507, 7603, 7867, 8443, 9283, 9403, 9643, 9787, 10987, 13003, 13267, 14107, 14683, 15667 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Steven Arno, M. L. Robinson, Ferrell S. Wheeler, Imaginary quadratic fields with small odd class number, Acta Arith. 83 (1998) 295-330. Duncan A. Buell, Small class numbers and extreme values of L-functions of quadratic fields, Math. Comp., 31 (1977), 786-796. Keith Matthews, Tables of imaginary quadratic fields with small class numbers C. Wagner, Class Number 5, 6 and 7, Math. Comput. 65, 785-800, 1996. Eric Weisstein's World of Mathematics, Class Number. MATHEMATICA Reap[ For[n = 1, n < 15000, n++, s = Sqrt[-n]; If[ NumberFieldClassNumber[s] == 11, d = -NumberFieldDiscriminant[s]; Print[d]; Sow[d]]]][[2, 1]] // Union (* Jean-François Alcover, Oct 05 2012 *) PROG (PARI) ok(n)={isfundamental(-n) && quadclassunit(-n).no == 11}; for(n=1, 16000, if(ok(n)==1, print1(n, ", "))) \\ G. C. Greubel, Mar 01 2019 (Sage) [n for n in (1..16000) if is_fundamental_discriminant(-n) and QuadraticField(-n, 'a').class_number()==11] # G. C. Greubel, Mar 01 2019 CROSSREFS Cf. A006203, A013658, A014602, A014603, A046002-A046020. Cf. A191410. Sequence in context: A015992 A065216 A142485 * A009840 A033255 A052233 Adjacent sequences:  A046005 A046006 A046007 * A046009 A046010 A046011 KEYWORD nonn,fini,full AUTHOR EXTENSIONS a(40)-a(41) from Giovanni Resta, Mar 20 2013 STATUS approved

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Last modified May 26 22:58 EDT 2020. Contains 334634 sequences. (Running on oeis4.)