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Real part of Gaussian prime numbers such that the Gaussian Primorial product up to them is a Gaussian prime minus i.
5

%I #9 Mar 31 2012 10:28:43

%S 1,1,2,2,1,6,4,11,10,11,19,3,18,16

%N Real part of Gaussian prime numbers such that the Gaussian Primorial product up to them is a Gaussian prime minus i.

%C A106382 has the imaginary parts of these numbers.

%H Sven Simon, <a href="/A106381/a106381_1.txt">Readable list of A106381/A106382</a>

%e (1+i)*(1+2i)*(2+i)*3*(2+3i)*(3+2i)*(1+4i) + i = (585-975i) + i = (585-974i), which is a Gaussian prime. This is the 5th number with the property, so a(5)=1.

%Y Cf. A103431, A103432, A106377, A106379, A106382, A106384.

%K nonn

%O 1,3

%A _Sven Simon_, Apr 30 2005