The Problem of Catalan
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Book Overview
In 1842 the Belgian mathematician Eug?ne Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In other words, 32 - 23 = 1 is the only solution of the equation xp - yq = 1 in integers x, y, p, q with xy 0 and p, q >= 2. In this...
Format:Paperback
Language:English
ISBN:3319362550
ISBN13:9783319362557
Release Date:September 2016
Publisher:Springer
Length:245 Pages
Weight:0.81 lbs.
Dimensions:0.6" x 6.1" x 9.2"
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