Search: id:A106381
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%I A106381
%S A106381 1,1,2,2,1,6,4,11,10,11,19,3,18,16
%N A106381 Consider the Gaussian primes of the first quadrant a+bi, with a>0, b>
               =0, ordered as a sequence by the size of the norm and the size of 
               a, as defined in A103431. The product of these primes up to a+bi, 
               written here as cp#, has the property cp#+i is a Gaussian prime. 
               a(n) is the real part a of such a+bi. cp#+i is not necessarily in 
               the first quadrant.
%C A106381 A106382 has the imaginary parts of these numbers.
%e A106381 (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 A106381 Cf. A103431, A103432, A106377, A106379, A106382, A106384.
%Y A106381 Sequence in context: A128308 A109152 A130469 this_sequence A064784 A108074 
               A127743
%Y A106381 Adjacent sequences: A106378 A106379 A106380 this_sequence A106382 A106383 
               A106384
%K A106381 nonn
%O A106381 1,3
%A A106381 Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005

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