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)).

-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

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

Table of n, a(n) for n=1..100.

Crossrefs

Cf. A088192, A220861, A220863.

Sequence in context: A100957 A372907 A191856 * A198229 A133362 A317925

Adjacent sequences: A220859 A220860 A220861 * A220863 A220864 A220865

Keyword

sign

Author

N. J. A. Sloane, Dec 26 2012

Status

approved