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A002149
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Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.
(Formerly M5407 N2350)
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2
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163, 907, 2683, 5923, 10627, 15667, 20563, 34483, 37123, 38707, 61483, 90787, 93307, 103387, 166147, 133387, 222643, 210907, 158923, 253507, 296587
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 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.
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REFERENCES
| 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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| David Broadhurst, Table of n, a(n) for n=0..739 (conjectural; see comment)
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CROSSREFS
| Cf. A002148, A003173, A006203.
Sequence in context: A038552 A127883 A054466 * A167627 A109343 A185500
Adjacent sequences: A002146 A002147 A002148 * A002150 A002151 A002152
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 17 2003
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