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ABC Conjecture (5)
Catalan Conjecture (4)
Collatz Problem (10)
Goldbach Conjecture (12)
Lychrel Numbers (4)
Riemann Hypothesis (14)
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    Science > Math > Research > Open Problems  (11)

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

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