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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
4

1, 2, 3, 2, 3, 4, 2, 6, 5, 5, 5, 4, 1, 25, 20, 3, 29 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A106384 has the imaginary parts.`
	EXAMPLE	`(1+i)(1+2i)(2+i)3(2+3i)(3+2i)(1+4i)(4+i)(2+5i) - i = (23205+9945i) - i = (23205+9944i), which is a Gaussian prime. This is the 7th number with the property, so a(7)=2.`
	CROSSREFS	`Cf. A103431, A103432, A106377, A106379, A106381, A106384.` `Sequence in context: A097352 A076050 A130799 this_sequence A105500 A088748 A086374` `Adjacent sequences: A106380 A106381 A106382 this_sequence A106384 A106385 A106386`
	KEYWORD	`nonn`
	AUTHOR	`Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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