Search: id:A106383
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%I A106383
%S A106383 1,2,3,2,3,4,2,6,5,5,5,4,1,25,20,3,29
%N A106383 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 A106383 A106384 has the imaginary parts.
%e A106383 (1+i)*(1+2i)*(2+i)*3*(2+3i)*(3+2i)*(1+4i)*(4+i)*(2+5i) - i = (23205+9945i) 
               - i = (23205+9944i), which is a Gaussian prime. This is the 7th number 
               with the property, so a(7)=2.
%Y A106383 Cf. A103431, A103432, A106377, A106379, A106381, A106384.
%Y A106383 Sequence in context: A097352 A076050 A130799 this_sequence A105500 A088748 
               A086374
%Y A106383 Adjacent sequences: A106380 A106381 A106382 this_sequence A106384 A106385 
               A106386
%K A106383 nonn
%O A106383 1,2
%A A106383 Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005

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