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I am requesting a list of books to learn number theory by myself that would take me from an introduction in the field to being an expert.

I am most interested in understanding unsolved problems in number theory that are in these subfields:

  • Prime Numbers (their distribution and other conjectures)
  • The Riemann hypothesis
  • The Twin prime conjecture
  • Prime gap
  • Additive number theory

I want a list of books by order of level that I can go through one after the other, as this is a roadmap to learning the field.

P.S: The books should be for self-learning

It would be nice if you can give me the estimated time it would take me to work through each book.

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