The following notebooks aim to explore a fascinating integer series called the Mersenne Primes. It's a function whose domain and range are all prime numbers. It can be written as:
f(x) = 2x - 1
When x is a prime number and f(x) is also prime, this is considered a Mersenne Prime.
To date, there are only 51 identified Mersenne Primes. The most recently discovered was on December 07, 2018. It is 282589933 - 1. The value of that Mersenne Prime expression contains 24,862,048 digits.
The notebooks contained herein have CSV writers for primes and Mersenne Primes and a verification tool. The are also some example prime range files in output/ranges/.