Prime Numbers Plotter. This web application is capable to plot the number line and highlight prime numbers, squares, factorial or patterns of numbers. The limitation of this application is the maximum number allowed by the operative system. In windows is 2^31 = 2147483648, even if the operative system is 64 bits. While in Linux and MacOS the limit is 2^63 = 9223372036854775808.
In this context, an interesting mathemathical property appears, a **singularity** (a point at which a given mathematical object is not defined or not "well-behaved") that appears in windows system. If the plot is set to the maximum of 2^31, then the plot is mirrored and by highlighting the square numbers at this point the plot reveals interesting shapes moving to the perpendicular axis.

Key words: Prime Numbers, Chaos Theory, Dynamical Systems, Euler Product, Riemann Hypothesis, Goldbach's Conjecture, Quantum, Wave Particle, Nonlinear System, Linear System, Topology.

REFERENCE:

Author = {Luis A. Mateos}, Title = {Prime Plotter}, Site = {Particle Robots}, Created = {2011.07.17}, Revised = {2017.02.05}, Accessed = {YYYY.MM.DD}, URL = {http://www.particlerobots.com/luismateos/primeplotter/}