A128109 Smallest positive real Gaussian prime having a gap size of exactly A128106(n).

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

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), 327-337.

Crossrefs

Sequence in context: A000576 A336829 A260882 * A159246 A178466 A227171

Adjacent sequences: A128106 A128107 A128108 * A128110 A128111 A128112

Keyword

nonn

Author

T. D. Noe, Feb 15 2007

Status

approved