I share you interest as well. It is my hope and fascination to someday learn the laws and order pulling the string behind this esoteric institute of pasterns. As much as its true that by figuring out this knowledge possess the treat of breaking crypto security, as we know it, due to yet to be innovations in factorizing large numbers. I also believe we have yet to discover a way to fortify through the re-imagination of a new form of crypto algorithm that still uses primes but is unbreakable by the art of factorizing large numbers. It may involve either a true one way function that not even trail and error can achieve,'OR' one that cuts close to that mark of expectation.
RE: The prime numbers: from mystery to reality