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Search: id:A128109
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| A128109 |
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Smallest positive real Gaussian prime having a gap size of exactly A128106(n). |
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+0
4
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| 3, 47, 31, 107, 79, 2447, 523, 1019, 11311, 563, 13411, 7559, 24943, 46867, 72103, 14243, 35759, 110339, 112967, 106591, 50023, 275323, 69991, 189251, 1267907, 849143, 1446719, 2382979, 3922691, 3166679, 6130459, 959207, 4100479, 10134671
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OFFSET
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2,1
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COMMENT
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These Gaussian primes have the form p+0*i, where p is an ordinary (rational) prime with p=3 (mod 4). Gethner et al. consider gaps around real Gaussian primes. In general, the Gaussian primes whose real and imaginary parts are given in A128107 and A128108 have a smaller magnitude than the real Gaussian primes given here. However, these real Gaussian primes are easier to compute.
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REFERENCES
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Ellen Gethner, Stan Wagon, and Brian Wick, A stroll through the Gaussian primes, Amer. Math. Monthly, 105 (1998), 327-337.
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CROSSREFS
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Adjacent sequences: A128106 A128107 A128108 this_sequence A128110 A128111 A128112
Sequence in context: A119401 A124135 A000576 this_sequence A055058 A139845 A141850
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Feb 15 2007
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