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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

%I #13 Jan 25 2014 16:39:17

%S -7,-2,-1,-3,-2,-1,-1,-2,-5,-1,-3,-1,-1,-2,-5,-1,-2,-1,-2,-7,-1,-3,-2,

%T -1,-1,-1,-3,-2,-1,-1,-3,-2,-1,-2,-1,-3,-1,-2,-5,-1,-2,-1,-7,-1,-1,-3,

%U -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

%N a(n) = smallest m>0 such that the n-th rational prime p splits in the imaginary quadratic extension field K = Q(sqrt(-m)).

%C Except for the first term, a(n) = -A088192(n).

%D David A. Cox, "Primes of the Form x^2 + n y^2", Wiley, 1989, Cor. 5.17, p. 105.

%Y Cf. A088192, A220861, A220863.

%K sign

%O 1,1

%A _N. J. A. Sloane_, Dec 26 2012

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Last modified May 15 13:23 EDT 2024. Contains 372540 sequences. (Running on oeis4.)