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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#+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, 1, 2, 3, 2, 1, 4, 2, 1, 6, 7, 1, 10, 19, 25 (list; graph; listen)

	OFFSET	`0,3`
	EXAMPLE	`(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.`
	CROSSREFS	`Cf. A103431, A103432, A106378, A106379, A106381, A106383.` `Adjacent sequences: A106374 A106375 A106376 this_sequence A106378 A106379 A106380` `Sequence in context: A026105 A060475 A106559 this_sequence A118457 A129773 A105789`
	KEYWORD	`nonn`
	AUTHOR	`Sven Simon (Sven-H.Simon(AT)t-online.de), Apr 30 2005`

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

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