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A002149
Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.
(Formerly M5407 N2350)
2
163, 907, 2683, 5923, 10627, 15667, 20563, 34483, 37123, 38707, 61483, 90787, 93307, 103387, 166147, 133387, 222643, 210907, 158923, 253507, 296587
OFFSET
0,1
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.
Arno, Robinson, & Wheeler prove a(0)-a(11). - Charles R Greathouse IV, Apr 25 2013
REFERENCES
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).
LINKS
David Broadhurst, Table of n, a(n) for n = 0..739 (conjectural; see comment)
Steven Arno, M. L. Robinson, and Ferrell S. Wheeler, Imaginary quadratic fields with small odd class number, Acta Arith. 83 (1998), pp. 295-330.
CROSSREFS
KEYWORD
nonn
EXTENSIONS
Edited by Dean Hickerson, Mar 17 2003
STATUS
approved