

A128109


Smallest positive real Gaussian prime having a gap size of exactly A128106(n).


3



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

2,1


COMMENTS

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.


LINKS

Table of n, a(n) for n=2..35.
Ellen Gethner, Stan Wagon and Brian Wick, A stroll through the Gaussian primes, American Mathematical Monthly 105 (1998), 327337.


CROSSREFS

Sequence in context: A193420 A000576 A260882 * A159246 A178466 A227171
Adjacent sequences: A128106 A128107 A128108 * A128110 A128111 A128112


KEYWORD

nonn


AUTHOR

T. D. Noe, Feb 15 2007


STATUS

approved



