Math Trek: Conquering Catalan's Conjecture - News article explains that Preda Mihailescu of the University of Paderborn in Germany may finally have the key to solving venerable problem. Features bibliographic references and links. - http://www.sciencenews.org/articles/20020622/mathtrek.asp
Wikipedia: Catalan's Conjecture - Brief article offers a description of the problem and features links. - http://en.wikipedia.org/wiki/Catalan's_conjecture
Catalan's Problem - Entry in the Prime Glossary with description, brief history and references. - http://primes.utm.edu/glossary/page.php?sort=CatalansProblem
MathWorld: Catalan's Conjecture - Features an explanation of the equation and offers bibliographic references. - http://mathworld.wolfram.com/CatalansConjecture.html
Catalan's Conjecture - Describes the basic equation and special cases. Provides related links. - http://mcraefamily.com/MathHelp/PuzzleUnsolvedCatalan.htm
Powers Differing By 1 (Catalan) - Article describes how certain special cases of this conjecture can be proven by very simple arguments. - http://mathpages.com/home/kmath104.htm