Search: id:A002149
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%I A002149 M5407 N2350
%S A002149 163,907,2683,5923,10627,15667,20563,34483,37123,38707,61483,
%T A002149 90787,93307,103387,166147,133387,222643,210907,158923,253507,296587
%N A002149 Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.
%C A002149 Most of these values are only conjectured to be correct.
%C A002149 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.
%D A002149 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002149 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002149 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.
%H A002149 David Broadhurst, <a href="b002149.txt">Table of n, a(n) for n=0..739</
               a> (conjectural; see comment)
%Y A002149 Cf. A002148, A003173, A006203.
%Y A002149 Sequence in context: A038552 A127883 A054466 this_sequence A167627 A109343 
               A027543
%Y A002149 Adjacent sequences: A002146 A002147 A002148 this_sequence A002150 A002151 
               A002152
%K A002149 nonn
%O A002149 0,1
%A A002149 N. J. A. Sloane (njas(AT)research.att.com).
%E A002149 Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 17 2003

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