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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.

+0
5

1, 1, 2, 2, 1, 6, 4, 11, 10, 11, 19, 3, 18, 16 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`A106382 has the imaginary parts of these numbers.`
	EXAMPLE	`(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.`
	CROSSREFS	`Cf. A103431, A103432, A106377, A106379, A106382, A106384.` `Sequence in context: A128308 A109152 A130469 this_sequence A064784 A108074 A127743` `Adjacent sequences: A106378 A106379 A106380 this_sequence A106382 A106383 A106384`
	KEYWORD	`nonn`
	AUTHOR	`Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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