Resources
Textbooks used for this project
Rosen, Kenneth H.
Elementary number theory and its applications. Fourth edition.
Addison-Wesley, Reading, MA, 2000.
Everest, Graham and Ward, Thomas
An introduction to number theory.
Graduate Texts in Mathematics, 232.
Springer-Verlag London, Ltd., London, 2005.
Gallian, Joseph A.
Contemporary Abstract Algebra. Eighth edition.
Brooks/Cole, Boston, MA, 2012.
Childs, Lindsay N.
A concrete introduction to higher algebra. Third edition.
Undergraduate Texts in Mathematics.
Springer, New York, 2009.
Paper detailing the relative densities of primes congruent to 1 (mod 4) versus 3 (mod 4), and Chebyshev's bias http://www.arxiv.org/abs/math/0408319v1. This paper also discusses the Riemann hypothesis.