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Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + Product_{k=1..n} f(k) (in case of a tie minimize the imaginary part); a(n) is the real part of f(n).
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%I #7 Oct 08 2018 08:07:35

%S 1,2,2,3,27,2,1,19953,1,3,4,5,1,100543,4,5,1375,6,67,100129349439,35,

%T 22,7200537,11,90,733,

%U 1653333714972695690441280142887575811965481459539542336

%N Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + Product_{k=1..n} f(k) (in case of a tie minimize the imaginary part); a(n) is the real part of f(n).

%C See A319920 for the square of the modulus of f and additional comments.

%Y Cf. A319920.

%K nonn

%O 1,2

%A _Rémy Sigrist_, Oct 06 2018