Web References that inspired ideas:
[1] - http://mathworld.wolfram.com/RiemannZetaFunction.html
[2] - http://mathworld.wolfram.com/HurwitzZetaFunction.html
[3] - http://mathschallenge.net/library/number/number_of_divisors
Prime Factorisation Algorithm, Benedict Irwin
[4] - https://www.authorea.com/users/5445/articles/5855/_show_article
Prime Generating Algorithm, Benedict Irwin
[5] - https://www.authorea.com/users/5445/articles/6270/_show_article
Divisor Function
[6] - http://mathworld.wolfram.com/DivisorFunction.html
[7] - http://en.wikipedia.org/wiki/Divisor_function (for now)
[8] - http://en.wikipedia.org/wiki/Primorial
[9] - http://en.wikipedia.org/wiki/Divisor_summatory_function