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Directory Sites
A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references.
www.math.umbc.edu
Some tips for solving problems in number theory, collected by the Cardiff University group.
www.cf.ac.uk
Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.
www.asahi-net.or.jp
A collection of research problems.
math2.haifa.ac.il
By Clark Kimberling. Offers prizes for solutions of some problems in number theory.
faculty.evansville.edu
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.
www.aimath.org
Some questions compiled by Jon Perry.
www.users.globalnet.co.uk
Unsolved Problems and Conjectures
Regarding equal sums of like powers, compiled by Chen Shuwen.
euler.free.fr