Where would one start his investigation into number theory?

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- March 22nd 2012, 10:06 AMMathVideosWhere to begin?
Where would one start his investigation into number theory?

- April 7th 2012, 11:55 AMHavenRe: Where to begin?
One typically starts number theory with elementary number theory, that is one will cover:

Divisibility, Prime Factorization, Modular Arithmetic, Fermat's Little Theorem, Euler's Theorem, Multiplicative Functions, Legendre Symbols and Pythagorean Triples.

The tools required for such a subject is usually a basic familiarity with proof-based mathematics.

However, after that you'll have to study a good deal of analysis or algebra before taking either Analytic Number Theory or Algebraic Number Theory.