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Zeroing In on Catalan's Conjecture

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Author:Ivars Peterson (MathTrek)
Description: Preda Mihailescu of the Swiss Federal Institute of Technology in Zurich has proved a theorem that is likely to lead to a solution of Catalan's conjecture, a venerable problem involving relationships among whole numbers (in 1844, Catalan asserted that, among all powers of whole numbers, the only pair of consecutive numbers that arises is 8 and 9). Mihailescu presents his result in a paper to be published in the Journal of Number Theory.

Levels: High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: History and Biography, Number Theory

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