id:A128106 - OEIS Search Results

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Sizes of possible gaps around a Gaussian prime: 1 and the even numbers in A001481.

+0
4

1, 2, 4, 8, 10, 16, 18, 20, 26, 32, 34, 36, 40, 50, 52, 58, 64, 68, 72, 74, 80, 82, 90, 98, 100, 104, 106, 116, 122, 128, 130, 136, 144, 146, 148, 160, 162, 164, 170, 178, 180, 194, 196, 200, 202, 208, 212, 218, 226, 232, 234, 242, 244, 250, 256, 260, 272, 274 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`For a given Gaussian prime u, the size of its gap is the minimum of norm(u-v) as v varies over all other Gaussian primes, where norm(a+b*i)=a^2+b^2. Only the small Gaussian primes 1+i and 2+i (and their associates and reflections) have gaps of diameter 1.`
	CROSSREFS	`Cf. A128107, A128108, A128109.` `Sequence in context: A067925 A102431 A076919 this_sequence A125021 A085406 A022340` `Adjacent sequences: A128103 A128104 A128105 this_sequence A128107 A128108 A128109`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Feb 15 2007`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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