There are many interpretations of what the prime numbers "sound like." Mine plays them at two speeds and in bass and treble octaves.
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