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

Author

T. D. Noe, Feb 15 2007

Keywords

• nonn

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

• Ellen Gethner, Stan Wagon and Brian Wick, A stroll through the Gaussian primes, American Mathematical Monthly 105 (1998), 327-337.