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A128106
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Sizes of possible gaps around a Gaussian prime: 1 and the even numbers in A001481.
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3
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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.
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MATHEMATICA
| q=12; imax=2*q^2; lst=Select[Union[Flatten[Table[2*x^2+2*y^2, {x, 0, q}, {y, 0, x}]]], #<=imax&]; Join[{1}, Drop[lst, 1]] (* From Vladimir Joseph Stephan Orlovsky, Apr 20 2011 *)
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CROSSREFS
| Cf. A128107, A128108, A128109.
Sequence in context: A102431 A076919 A171757 * A125021 A085406 A022340
Adjacent sequences: A128103 A128104 A128105 * A128107 A128108 A128109
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Feb 15 2007
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