Physics of Mathematics Video (52 Minutes)
Physics of Mathematics (previously The Primes Decoded 2014) reveals what is behind the apparent randomness and probabilistic/statistical nature of the prime numbers (and number theory in general). It provides simple proof of the twin-prime conjecture (and also for infinitely many primes with a difference of every even number, also called Polignac's Conjecture). It removes the mystery of the apparent "randomness" of prime factorization showing a clear structure for all the prime factors to infinity. It links mathematics with the nature of space and physics, and reveals new mathematics infinite distances away where, paradoxically, 2 isn't the only even prime value and 1 isn't the only value with 1 factor.
Length: 52 minutes Year 2014 by Marcus Wilson
Three parts:
Part 1: The Big Picture (revealing the overall nature of the primes and composites)
Part 2: The Cyclic Mirror (revealing more generalized version of the twin prime conjecture, including Polignac's Conjecture)
Part 3: Prime Factorization and Defining Infinities (revealing the nature of space, prime factorization, and new mathematics)
NOTE: This is not specifically a formula for the prime number sequence, instead it allows one to see the big picture and answers the question: why.