Zeroing In on Catalan's Conjecture
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|Ivars Peterson (MathTrek)|
|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|
|Math Topics:||History and Biography, Number Theory|
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