gaussian_prime_spiral

gaussian_prime_spiral, a MATLAB code which computes a twisting spiral path along the Gaussian primes, and displays a plot of the total trajectory.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

gaussian_prime_spiral is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

gaussian_prime_spiral_test

is_gaussian_prime, a MATLAB code which is true if a given complex number c is a Gaussian prime.

matlab_plots, a MATLAB code which uses plotting to illustrate a mathematical structure, such as an iterative map, a fractal, a curve or surface.

prime_plot, a MATLAB code which displays a box plot of the prime and composite numbers.

Reference:

• John D Cook,
  At the next prime, turn left,
  https://www.johndcook.com/blog/2020/09/24/gaussian_integer_walk/
  Posted 24 September 2020.
• Christian Hill,
  Problem P3.2.2, page 99,
  Learning Scientific Programming with Python,
  Second Edition, 2020
  Cambridge University Press,
  ISBN: 978-1108745918

Source Code:

• gaussian_prime_display.m, displays the Gaussian primes in a rectangular region.
• gaussian_prime_spiral_step.m, takes one step along a Gaussian prime spiral.
• gaussian_prime_spiral_trajectory.m, computes the total trajectory along a Gaussian prime spiral.
• is_gaussian_prime.m, is true if c is a Gaussian prime.