As usual, I am curious about the distribution of the primes. This morning I wondered what percent of numbers with N digits were prime. Not an earth shattering curiosity… Naturally, I wrote a little perl program to answer it for me.

## Subsequent Prime Number Distribution

In 2016, two mathematicians, Kannan Soundararajan and Robert Lemke Oliver found that the prime numbers do not occur at random when looking at the final digits of subsequent primes. For instance, a prime ending in 9 is more likely to be followed by a prime ending in 1, than any other digits (1, 3, 7 […]

## Plotting Successive Primes Modulo A Number

tl;dr: https://github.com/ology/Math/blob/master/primes/sequence-pairs File this under Recreational mathematics… I have this passionate curiosity for seeing the primes “folded in on themselves” – constrained to a phase space. I also have a burning desire to visualize successive events. I suppose that I am searching for “strange attractors”, as with the famous water drip […]

## Primes, Gaps & Gaps of Gaps

tl;dr: Code and Visualization of the prime “gaps of gaps” table The prime number sequence fascinates me. I am not sure why but exposing properties in it is exciting. Even if they are mundane and “obvious to everyone else”, the fact that I can answer questions visually, sometimes thrills me. * Update below