Following an introduction which acquaints readers with the problem of consecutive powers first for fixed exponents, then for arbitrary exponents, and finally for fixed bases and a history of mathematicians' attempts to solve them, is a section of Preliminaries, gathering results that will be invoked in the sequel. The main body of the volume is in three parts: special cases, divisibility conditions, and analytical methods. The appendix contains a discussion of interesting variations and powerful numbers. Annotation copyright Book News, Inc. Portland, Or.
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