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ABC Conjecture
Catalan Conjecture
Collatz Problem
Goldbach Conjecture

Number Theory Conjectures - A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references.
Advice to Research Students - Some tips for solving problems in number theory, collected by the Cardiff University group.
Unsolved Problems and Rewards - By Clark Kimberling. Offers prizes for solutions of some problems in number theory.
Mathematician's Secret Room - Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.

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