«Number Theory»  : Open Problems

 ABC Conjecture
 Catalan Conjecture
 Collatz Problem
 Goldbach Conjecture

 Lychrel Numbers
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«Number Theory»  : Open Problems Sites

Science Math Number Theory Open Problems
Science Math Number Theory Open Problems sites
Science Math Number Theory Open Problems
Science Math Number Theory Open Problems sites
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.
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.
Unsolved Problems in Number Theory, Logic and Cryptography
Unsolved Problems in Number Theory , Logic and Cryptography , with references for further reading.

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