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Search: id:A002148
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| A002148 |
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Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.
(Formerly M3164 N1282)
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+0
4
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| 3, 59, 131, 251, 419, 659, 1019, 971, 1091, 2099, 1931, 1811, 3851, 3299, 2939, 3251, 4091, 4259, 8147, 5099, 9467, 6299, 6971, 8291, 8819, 14771, 22619, 9539, 13331, 18443, 11171, 16979, 12011, 13859, 16931, 17939, 28211, 19211, 24251, 20411
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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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).
D. A. Buell, Binary Quadratic Forms. Springer-Verlag, NY, 1989, pp. 224-241.
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.
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LINKS
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David Broadhurst and T. D. Noe, Table of n, a(n) for n=0..10399
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MATHEMATICA
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(* First do <<NumberTheory`NumberTheoryFunctions` *) a=Table[0, {101}]; Do[If[PrimeQ[m], c=ClassNumber[ -m]; If[c<102&&a[[c]]==0, a[[c]]=m]], {m, 3, 10000, 8}]; Table[a[[n]], {n, 1, 101, 2}]
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CROSSREFS
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Cf. A002143 (class numbers), A002149, A003173, A006203.
Sequence in context: A139874 A155032 A107212 this_sequence A057175 A142642 A062629
Adjacent sequences: A002145 A002146 A002147 this_sequence A002149 A002150 A002151
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and Mira Bernstein (mira(AT)math.berkeley.edu)
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 17 2001
Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 17 2003
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