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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. +0
5
1, 2, 3, 6, 5, 11, 10, 18, 12, 19, 10, 13, 5, 20, 6 (list; graph; listen)
OFFSET

0,2

COMMENT

A106380 has the imaginary parts.

EXAMPLE

(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.

CROSSREFS

Cf. A103431, A103432, A106377, A106380, A106381, A106383.

Sequence in context: A019565 A133477 A039653 this_sequence A001634 A095113 A002517

Adjacent sequences: A106376 A106377 A106378 this_sequence A106380 A106381 A106382

KEYWORD

nonn

AUTHOR

Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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