The Density Plot of the Prime Gaps is a Fractal

As you look at the density plots of increasing numbers of prime gaps (the distance between subsequent primes), a fractal emerges. Just get the gaps and graph the densities with this simple R code:

For increasing numbers of gaps (shown to 100_000_000), this results in the following graphs.  You can see the self-similar, fractal […]

Fibonacci v Primes: Cage Match!

Today I decided to more deeply investigate this curious math thing I discovered (for myself) – Plotting the Fibonacci numbers by Prime numbers each by a given modulo.  “Fibo-what? Mod-what? So what!”, you say. :p code: and For the mechanics, I use Perl to produce the data and R to visualize it.