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Number Theory Conjectures
A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references.
http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html
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Mathematician's Secret Room
Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.
http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
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Unsolved Problems and Rewards
By Clark Kimberling. Offers prizes for solutions of some problems in number theory.
http://faculty.evansville.edu/ck6/integer/unsolved.html
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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.
http://www.aimath.org/WWN/lrmt/
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Unsolved Problems and Conjectures
Regarding equal sums of like powers, compiled by Chen Shuwen.
http://euler.free.fr/eslp/unsolve.htm
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