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Smallest positive real Gaussian prime having a gap size of exactly A128106(n).
3

%I #5 Oct 24 2012 11:35:50

%S 3,47,31,107,79,2447,523,1019,11311,563,13411,7559,24943,46867,72103,

%T 14243,35759,110339,112967,106591,50023,275323,69991,189251,1267907,

%U 849143,1446719,2382979,3922691,3166679,6130459,959207,4100479,10134671

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

%C 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.

%H Ellen Gethner, Stan Wagon and Brian Wick, <a href="http://mathdl.maa.org/images/upload_library/22/Chauvenet/Gethner.pdf">A stroll through the Gaussian primes</a>, American Mathematical Monthly 105 (1998), 327-337.

%K nonn

%O 2,1

%A _T. D. Noe_, Feb 15 2007