gaussian_prime_spiral

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

Licensing:

The computer code and data files made available on this web page are 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

fibonacci_spiral, an Octave code which displays points on a Fibonacci spiral, suggesting the arrangement of seeds in a sunflower, for instance.

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

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

ulam_spiral, an Octave code which displays the integers as a spiral of grid cells, with the primes highlighted, so show that they tend to fall along diagonals, as discovered by Stanislaw Ulam.

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.