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%I #16 Oct 30 2022 18:19:59
%S 4,8,4,8,8,8,8,8,4,8,8,8,8,8,8,8,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
%T 8,8,8,8,4,8,8,8,8,8,8,8,8,8,8,8,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
%U 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,4,8,8
%N Number of Gaussian primes of successive norms (indexed by A055025).
%C These are the primes in the ring of integers a+bi, a and b rational integers, i = sqrt(-1).
%D R. K. Guy, Unsolved Problems in Number Theory, A16.
%D L. W. Reid, The Elements of the Theory of Algebraic Numbers, MacMillan, NY, 1910, see Chap. V.
%H <a href="/index/Ga#gaussians">Index entries for Gaussian integers and primes</a>
%e There are 8 Gaussian primes of norm 5, +-1+-2i and +-2+-i, but only two inequivalent ones (2+-i).
%t m = 32; Length /@ Split[Sort[Select[Flatten[Table[{a^2 + b^2, a + b*I}, {a, -m, m}, {b, -m, m}], 1], PrimeQ[#[[2]], GaussianIntegers -> True] & ]], #1[[1]] == #2[[1]] & ][[1 ;; 87]] (* _Jean-François Alcover_, Apr 08 2011 *)
%Y Cf. A055025-A055029, A055664-...
%K nonn,easy,nice
%O 1,1
%A _N. J. A. Sloane_, Jun 09 2000
%E More terms from _Reiner Martin_, Jul 20 2001
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