Number Theory Conjectures (Popularity: ): A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references. Mathematician's Secret Room (Popularity: ): Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima. Unsolved Problems and Rewards (Popularity: ): By Clark Kimberling. Offers prizes for solutions of some problems in number theory. L-functions and Random Matrix Theory (Popularity: ): 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. Open Problems (Popularity: ): Some questions compiled by Jon Perry. Unsolved Problems and Conjectures (Popularity: ): Regarding equal sums of like powers, compiled by Chen Shuwen. The Amazing ABC Conjecture (Popularity: ): Article by Ivars Peterson. The ABC Conjecture (Popularity: ): Maintained by Abderrahmane Nitaj. Introduction to the ABC Conjecture (Popularity: ): Slides by Barry Mazur. A New Extreme ABC-example (Popularity: ): Explanation of an example with quality 1.920859, found by Benne de Weger and Niklas Broberg. Christian Goldbach (Popularity: ): Biography, with links to other Goldbach resources. Goldbach Conjecture (Popularity: ): Article from MathWorld.