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Varios enlaces de este fascinante tema, algunas introducciones, ver por ejemplo, el libro electrónico Elementary Number Theory, listo para bajarse.

What is number theory? - HowStuffWorks
http://science.howstuffworks.com/math-concepts/number-theory.htm

Journal of Number Theory - Elsevier
http://www.journals.elsevier.com/journal-of-number-theory/

Elementary Number Theory
http://wstein.org/ent/

International Journal of Number Theory (World Scientific)
http://www.worldscientific.com/worldscinet/ijnt

An Introduction to Number Theory : nrich.maths.org
http://nrich.maths.org/4352

NUMBER THEORY WEB
http://www.numbertheory.org/

What Is Number Theory?
http://www.math.brown.edu/~jhs/frintch1ch6.pdf

The 17-armed spiral within a spiral | mathbabe
http://mathbabe.org/2015/07/22/the-17-armed-spiral-within-a-spiral/

abstract algebra - How to prove that the sum and product of two algebraic numbers is algebraic? - Mathematics Stack Exchange
http://math.stackexchange.com/questions/155122/how-to-prove-that-the-sum-and-product-of-two-algebraic-numbers-is-algebraic

abstract algebra - Sums and products of algebraic numbers - Mathematics Stack Exchange
http://math.stackexchange.com/questions/141427/sums-and-products-of-algebraic-numbers

number-theory
https://www.npmjs.com/package/number-theory

Mock modular form - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Mock_modular_form

Partition (number theory) - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Partition_(number_theory)

Fermat's theorem on sums of two squares - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of_two_squares

Proofs of Fermat's theorem on sums of two squares - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Proofs_of_Fermat's_theorem_on_sums_of_two_squares

Coloración con condiciones - Gaussianos | Gaussianos
http://gaussianos.com/coloracion-con-condiciones/

Mis Enlaces
http://delicious.com/ajlopez/numbertheory

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Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez