|
Search: id:A002149
|
|
|
| A002149 |
|
Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.
(Formerly M5407 N2350)
|
|
+0
2
|
|
| 163, 907, 2683, 5923, 10627, 15667, 20563, 34483, 37123, 38707, 61483, 90787, 93307, 103387, 166147, 133387, 222643, 210907, 158923, 253507, 296587
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Most of these values are only conjectured to be correct.
Apr 15 2008: David Broadhurst says: I computed class numbers for prime discriminants with |D| < 10^9, but stopped when the first case with |D| > 5*10^8 was observed. That factor of 2 seems to me to be a reasonable margin of error, when you look at the pattern of what is included.
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
R. B. Lakein and S. Kuroda, Tables of class numbers h(-p) for fields Q(sqrt(-p)), p<= 465071, Math. Comp., 24 (1970), 491-492.
|
|
LINKS
|
David Broadhurst, Table of n, a(n) for n=0..739 (conjectural; see comment)
|
|
CROSSREFS
|
Cf. A002148, A003173, A006203.
Sequence in context: A038552 A127883 A054466 this_sequence A167627 A109343 A027543
Adjacent sequences: A002146 A002147 A002148 this_sequence A002150 A002151 A002152
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 17 2003
|
|
|
Search completed in 0.002 seconds
|
