Describes the hunt for the proof of Fermat's theorem, the similar conjecture made by Andrew Beal, and the reward he offers for its proof.

Find a biography of this professor of mathematics, the story behind the Goldbach Conjecture, and a host of recommended resources.

Author for this resource provides computational results, graphs, and visual examples. Check out different recommended resources.

Locate a short biography on Goldbach, a description of his mathematical hypothesis, and various recommended resources.

Abderrahmane Nitaj, the author for this resource, offers an extensive table of known ratios of this mathematical concept.

Provides a collection of links to resources about the Collatz problem organized along the lines of a proof. Includes a slide show for the proposed proof.

Provides a detailed introduction to the linear periodization theory and an unverified proof of Goldbach's conjecture using the technique.

Check out a description for this classic unsolved number theory problem, some history for it, and various recommended resources.

Author provides different unsolved problems in the English and Japanese languages. Includes references and different recommended resources.

Take a look at different open problems, including the Riemann Hypothesis, Perfect & Mersenne Numbers, Fermat Numbers, and Totient Function Conjectures.

Have a look at this extensive essay which discusses the many nuances of Catalan's Conjecture. Includes recommended resources.

Maintained by Abderrahmane Nitaj, provides an extensive analysis of the ABC conjecture, including consequences, results achieved, and a detailed bibliography.

Read a history of the problem and an analysis of importance in the context of number theory. Provides references and links to other resources.

Locate a mathematical extension of the unsolved Goldbach Conjecture, some history of the resource, and recommended reading.

Find an article written in December 2000 which tackles this well-known unsolved mathematical concept.