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A220862 a(n) = smallest m>0 such that the n-th rational prime p splits in the imaginary quadratic extension field K = Q(sqrt(-m)). 4
-7, -2, -1, -3, -2, -1, -1, -2, -5, -1, -3, -1, -1, -2, -5, -1, -2, -1, -2, -7, -1, -3, -2, -1, -1, -1, -3, -2, -1, -1, -3, -2, -1, -2, -1, -3, -1, -2, -5, -1, -2, -1, -7, -1, -1, -3, -2, -3, -2, -1, -1, -7, -1, -2, -1, -5, -1, -3, -1, -1, -2, -1, -2, -11, -1, -1, -2, -1, -2, -1, -1, -7, -3, -1, -2, -5, -1, -1, -1, -1, -2, -1, -7, -1, -3, -2, -1, -1, -1, -3, -2, -13, -3, -2, -2, -5, -1, -1, -2, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Except for the first term, a(n) = -A088192(n).
REFERENCES
David A. Cox, "Primes of the Form x^2 + n y^2", Wiley, 1989, Cor. 5.17, p. 105.
LINKS
CROSSREFS
Sequence in context: A089129 A100957 A191856 * A198229 A133362 A317925
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Dec 26 2012
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)