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Unsolved problems in Number Theory
http://www.aimath.org/WWN/lrmt/
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.
http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.
http://www.math.haifa.ac.il/~seva/problems.html
A collection of research problems.
http://euler.free.fr/eslp/unsolve.htm
Regarding equal sums of like powers, compiled by Chen Shuwen.
http://faculty.evansville.edu/ck6/integer/unsolved.html
By Clark Kimberling. Offers prizes for solutions of some problems in number theory.
http://unsolvedproblems.org/
Unsolved Problems in Number Theory, Logic and Cryptography, with references for further reading.
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