Primespiral is a function to explore the distribution of prime numbers arranged into a spiral pattern.
The well-known Ulam spiral and the variant developed by Robert Sacks,
the Sacks spiral, show interesting geometric patterns in the positions of primes.
t - is an integer number. The spiral will be plotted between 0 and t
If t is omitted, it will be set to 3571 (between 0 and 3571
there are 500 prime numbers).
primesout - the primes of the choosed family, between 0 and t.
The function will ask if you want to use the Ulam, Sacks, Vogel or Archimede spiral.
Then it will ask if you want to highlight a particular prime family.
The primes of the family you choosed between 0 and t
Created by Giuseppe Cardillo
To cite this file, this would be an appropriate format:
Cardillo G. (2014) Primespiral: Play into the world of prime numbers!
Giuseppe Cardillo (2023). Primespiral (https://github.com/dnafinder/primespiral), GitHub. Retrieved .
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Versions that use the GitHub default branch cannot be downloaded
each plot contains two boxes with descriptions of chosen spiral and prime family
The function is more compact and rational.
some minor bugs correction and new primes families added
some other primes families were added
Ulam Spiral added;
bug correction in Dihedral primes computation; minimal primes added
change in help section to correctly cite the file