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%I A106379
%S A106379 1,2,3,6,5,11,10,18,12,19,10,13,5,20,6
%N A106379 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.
%C A106379 A106380 has the imaginary parts.
%e A106379 (1+i)*(1+2i)*(2+i)*3*(2+3i)*(3+2i) - 1 = (-195-195i) - 1 = (-196-195i), 
               which is a Gaussian prime. This is the third number with the property, 
               so a(3) = 3.
%Y A106379 Cf. A103431, A103432, A106377, A106380, A106381, A106383.
%Y A106379 Sequence in context: A019565 A133477 A039653 this_sequence A001634 A095113 
               A002517
%Y A106379 Adjacent sequences: A106376 A106377 A106378 this_sequence A106380 A106381 
               A106382
%K A106379 nonn
%O A106379 0,2
%A A106379 Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005

    
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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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