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Top/Science/Math/Number Theory/Open Problems
ABC Conjecture
Catalan Conjecture
Collatz Problem
Goldbach Conjecture
Lychrel Numbers
Advice to Research Students
Some tips for solving problems in number theory, collected by the Cardiff University group.
L-functions and Random Matrix Theory
Conjectures and open problems concerning L-functions, focussing on the areas in which there has been recent progress using results from Random Matrix Theory. Maintained at AIM.
Mathematician's Secret Room
Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.
Number Theory Conjectures
A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references.
Open Problems
Some questions compiled by Jon Perry.
Seva Lev's Problem Page
A collection of research problems.
Unsolved Problems and Conjectures
Regarding equal sums of like powers, compiled by Chen Shuwen.
Unsolved Problems and Rewards
By Clark Kimberling. Offers prizes for solutions of some problems in number theory.


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