|
Search: id:A038552
|
|
|
| A038552 |
|
Conjectured value of largest squarefree number k such that Q(sqrt(-k)) has class number n. |
|
+0
4
|
|
| 163, 427, 907, 1555, 2683, 3763, 5923, 6307, 10627, 13843, 15667, 17803, 20563, 30067, 34483, 31243, 37123, 48427, 38707, 58507, 61483, 85507, 90787, 111763, 93307, 103027, 103387, 126043, 166147, 134467, 133387, 164803, 222643, 189883
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Probably all terms are odd, in which case this is also the largest absolute value of fundamental negative discriminant d for class number n.
Numbers so far are all 19 mod 24. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Jul 07 2003
|
|
REFERENCES
|
Duncan A. Buell, Small class numbers and extreme values of L-functions of quadratic fields, Math. Comp., 31 (1977), 786-796.
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
MATHEMATICA
|
<< NumberTheory`NumberTheoryFunctions`; a = Table[0, {32} ]; Do[ If[ Mod[n, 4] != 1 || Mod[n, 4] != 2 || SquareFreeQ[n], c = ClassNumber[ -n]; If[c < 33, a[[c]] = n]], {n, 0, 250000} ]; a
|
|
CROSSREFS
|
Cf. A081319, A046125.
Sequence in context: A142427 A142237 A142283 this_sequence A127883 A054466 A002149
Adjacent sequences: A038549 A038550 A038551 this_sequence A038553 A038554 A038555
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Robert Brewer (rbrewerjr(AT)aol.com)
|
|
EXTENSIONS
|
More terms from rgwv(AT)rgwv.com (rgwv(AT)rgwv.com), Nov 08 2001
2 more terms from Dean Hickerson (dean.hickerson(AT)yahoo.com), May 20 2003. The values were obtained by transcribing and combining data from Tables 1-3 of Buell's paper, which has information for all values of n up to 125.
|
|
|
Search completed in 0.002 seconds
|
