Sources and References
Barkley Rosser, J., & Schoenfeld, L. (1962). Approximate formulas for some functions of prime numbers. Illinois J. Math, 6, 64-94.
Ingham, A. E. (1932). The distribution of prime numbers (No. 30). Cambridge University Press
Brent, R. P. (1975). Irregularities in the distribution of primes and twin primes.Mathematics of Computation, 29(129), 43-56.
Erdos, P. (1950). On almost primes. American Mathematical Monthly, 404-407.
Cangelosi, James S. History of Math and Number Theory (Spring, 2014). Class notes.
Mastin, L. (2012). 20th Century Mathematics – Hardy and Ramanujan. The Story of Mathematics.
Caldwell, C. (2014). Euclid’s Proof of the Infinitude of Primes (c.300 B.C.). The Prime Pages.
Goldston, D. A., Gonek, S. M., & Montgomery, H. L. (2001). Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals. Journal fur die Reine und Angewandte Mathematik, 105-126.
Pampena, Simon (2011, Nov. 2). Prime Numbers and Public Key Cryptography. Video retrieved from https://www.youtube.com/watch?v=56fa8Jz-FQQ
Cleo’s Applet (2014 Nov.) Prime Numbers. Applet retrieved from http://tube.geogebra.org/material/show/id/282343
Cleo’s Applet (2014 Nov.) Prime Factorization. Applet retrieved from http://tube.geogebra.org/material/show/id/345009