What does the graph look like when you convert each prime to binary and plot the ones versus the zeros?
Today I became curious about the relative frequencies of the digits that appear in prime numbers (in base 10).
Naturally, I wrote a little program to show the answer - digit-freq2:
- What is the number of primes per n-slice of the decimal part of pi?
- What does the graph look like?
- Are there many overlapping primes (i.e. start at the same position in the slice)?
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
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.