cp's OEIS Frontend

A320103 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).

%I A320103 #7 Oct 08 2018 08:07:35
%S A320103 1,2,2,3,27,2,1,19953,1,3,4,5,1,100543,4,5,1375,6,67,100129349439,35,
%T A320103 22,7200537,11,90,733,
%U A320103 1653333714972695690441280142887575811965481459539542336
%N A320103 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 A320103 See A319920 for the square of the modulus of f and additional comments.
%Y A320103 Cf. A319920.
%K A320103 nonn
%O A320103 1,2
%A A320103 _Rémy Sigrist_, Oct 06 2018