Search: id:A106377
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%I A106377
%S A106377 1,1,2,3,2,1,4,2,1,6,7,1,10,19,25
%N A106377 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#+1 is a Gaussian prime. 
               a(n) is the real part a of such a+bi. cp#+1 is not necessarily in 
               the first quadrant.
%e A106377 (1+i)*(1+2i)*(2+i)*3*(2+3i) + 1 = (-75-15i) + 1 = (-74-15i), which is 
               a Gaussian prime. This is the 5th number with the property, so a(5) 
               = 2.
%Y A106377 Cf. A103431, A103432, A106378, A106379, A106381, A106383.
%Y A106377 Sequence in context: A026105 A060475 A106559 this_sequence A118457 A129773 
               A105789
%Y A106377 Adjacent sequences: A106374 A106375 A106376 this_sequence A106378 A106379 
               A106380
%K A106377 nonn
%O A106377 0,3
%A A106377 Sven Simon (Sven-H.Simon(AT)t-online.de), Apr 30 2005

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